Measures of Spread

Problem 701

What is the interquartile range for the data with Min = 55, Q1 = 61, Median = 76, Q3 = 89, Max = 95?

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Problem 702

Find the percentage of buyers who paid between \$15,000 and \$27,000 for a car with mean \$21,000 and SD \$2,000 using the 68-95-99.7 Rule.

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Problem 703

Calculate the standard deviation of the data set: 7,7,10,10,10,107, 7, 10, 10, 10, 10. Round your answer to two decimal places.

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Problem 704

Interpret the mean absolute deviation of 0.08 ounces for Clare's 48 large eggs with a mean weight of 2.1 ounces.

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Problem 705

Does the frequency distribution show a normal shape? Analyze the data:
Temperature (°F): 50-54 (1), 55-59 (2), 60-64 (10), 65-69 (14), 70-74 (10), 75-79 (2), 80-84 (1).

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Problem 706

Given daily demand (yy in thousands) and unit price (xx in dollars), find the sample covariance and correlation coefficient. Interpret both.

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Problem 707

Find the 75th percentile of the data set: 14, 11, 15, 14, 17, 15, 16, 14, 11, 13. Options: 13.75, 14.25, 14.75, 15.25.

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Problem 708

Given the frequency distribution, find the mean, variance, and standard deviation, rounding to two decimal places. Classes: 262-6 (5), 7117-11 (6), 121612-16 (8), 172117-21 (3).

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Problem 709

Calculate the coefficient of variation for donations in 2012 (σ=48\sigma = 48, μ=240\mu = 240) and 2013 (σ=57\sigma = 57, μ=380\mu = 380).

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Problem 710

asures of spread Question 11, 3.2-2 HW Score: 4 Points:
Find the variance for the given sample data. Round your answer to one more decimal place than the original data. 77251\begin{array}{lllll}7 & 7 & 2 & 5 & 1\end{array} A. 7.8 B. 6.2 C. 11.8 D. 7.7

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Problem 711

_Stats_Y24_HO7928206 Percentiles \& Quartiles Question 18, *2.5.39 HW Score: 6ε6 \varepsilon Points: 0
The data set represents wait times (in minutes) for various services at a state's Department of Motor Vehicles locations. Fin minutes. \begin{tabular}{llllllllllllllll} 1 & 22 & 23 & 10 & 6 & 7 & 2 & 1 & 6 & 6 & 2 & 4 & 14 & 15 & 16 & 4 \\ 19 & 3 & 19 & 26 & 5 & 3 & 4 & 7 & 6 & 10 & 9 & 10 & 20 & 18 & 3 & 20 \\ 10 & 13 & 14 & 11 & 14 & 17 & 4 & 27 & 4 & 8 & 4 & 3 & 26 & 18 & 21 & 1 \end{tabular}
A wait time of 4 minutes corresponds to about a percentile of \square . (Round to the nearest whole number as needed.) View an example Get more help - Desk 1

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Problem 712

: Percentiles \& Quartiles Question 18, *2.5.39 HW Score: 80\%, 56 of 70 points Points: 0 of 4 Save
The data set represents wait times (in minutes) for various services at a state's Department of Motor Vehicles locations. Find the percentile that corresponds to a wait time of 5 minutes. \begin{tabular}{llllllllllllllll} 3 & 19 & 26 & 5 & 3 & 4 & 7 & 6 & 10 & 9 & 10 & 20 & 18 & 3 & 20 & 10 \\ 13 & 14 & 11 & 14 & 17 & 4 & 27 & 4 & 8 & 4 & 3 & 26 & 18 & 21 & 1 & 3 \\ 3 & 5 & 5 & 6 & 10 & 1 & 22 & 23 & 10 & 6 & 7 & 2 & 1 & 6 & 6 & 2 \end{tabular}
A wait time of 5 minutes corresponds to about a percentile of (Round to the nearest whole number as needed) \square

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Problem 713

Find the five-number summary for the sapling tree heights: 39, 46, 32, 42, 26, 46, 45, 39, 34, 39, 53, 31, 26, 40, 19, 42, 37, 25.

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Problem 714

Find the interval width for car accidents in LA (2-17 per hour) with 8 intervals. Calculate: Width=1728\text{Width} = \frac{17 - 2}{8}.

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Problem 715

Kaden scored 78.8 in English (mean 73.9, SD 10.4) and Katelyn scored 68.8 in Social Studies (mean 66.9, SD 11.1). Find their z-scores.
a) Kaden's z-score: z= z = b) Katelyn's z-score: z= z = c) Who did better? Kaden, Katelyn, or equally well?

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Problem 716

Find the zz-score for a test score of 215, given a mean of 135 and a standard deviation of 50.

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Problem 717

Find the first quartile Q1\mathrm{Q}_{1} for the given airport data speeds (Mbps). Answer: Q1=\mathrm{Q}_{1}=\square Mbps.

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Problem 718

Create a boxplot and find the 5-number summary for these ratings: 2.0, 2.0, 2.5, 2.5, 3.0, 3.0, 3.5, 3.5, 3.5, 3.5, 3.5, 4.0, 4.5, 5.0, 5.0, 5.0, 6.0, 6.5, 6.5, 7.5.

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Problem 719

Find the upper quartile of energy used (in kJ) for 15 activities listed in a table.

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Problem 720

A box-and-whisker plot shows ticket sales: min 100, max 900, median 400, Q1 300, Q3 600. What can we conclude?

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Problem 721

Suspension Bridges The lengths (in feet) of the main span of the longest suspension bridges in the United States and the rest of the world are shown below. Which set of data is more variable? \begin{tabular}{cllllllll} United States & 4205 & 4200 & 3800 & 3500 & 3478 & 2800 & 2800 & 2310 \\ World & 6570 & 5538 & 5328 & 4888 & 4626 & 4544 & 4518 & 3970 \end{tabular}
Send data to Excel
Part: 0 / 2
Part 1 of 2

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Problem 722

N-GEN MATH sed 7{ }^{\text {sed }} 7 HOMEWORK Fluency
1. For each data set below find the first and third quartiles and find the interquartile range, whic is calculated using Q3Q1Q_{3}-Q_{1}. Label each statistic that you find. (a) 9,11,15,18,22,22,25,27,309,11,15,18,22,22,25,27,30 (b) 25,32,34,37,41,48,52,55,55,5825,32,34,37,41,48,52,55,55,58 (c) 14,14,17,19,19,20,23,25,29,30,32,32,35,36,40,4114,14,17,19,19,20,23,25,29,30,32,32,35,36,40,41
2. Which of the following is the third quartile value for the data set below. 71,74,78,82,82,85,86,86,88,92,94,9871,74,78,82,82,85,86,86,88,92,94,98 (1) 86 (3) 92 (2) 90 (4) 98
3. Which of the following is the interquartile range of the data set shown below? (1) 9 (3) 14 (2) 11.5 (4) 19 12,14,16,16,19,20,23,25,3112,14,16,16,19,20,23,25,31

N-Gen Mate 7, Unit 7-Statistics-Lesson 2 eMATHinstruction, Red Hook, NY 12571, 02020\mathbf{0} 2020 317

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Problem 723

QUESTION
Donna attends a fashion institute that has no on-campus housing. The distance she commutes between her home and the campus is 15 kilometers. The mean distance commuted to campus among all students at the fashion institute is 26 kilometers with a standard deviation of 9 kilometers. (a) Find the zz-score of Donna's commute distance relative to the commute distances among all the students at the institute. Round your answer to two decimal places. z=z=\square (b) Fill in the blanks to interpret the zz-score of Donna's commute distance. Make sure to express your answer in terms of a positive number of standard deviations.
Donna's commute distance is \square standard deviations \square (Choose one) the mean commute distance among all students at the institute. EXPLANATION

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Problem 724

For the data set below, find the IQR. 6476767066716171627979\begin{array}{lllllllllll} 64 & 76 & 76 & 70 & 66 & 71 & 61 & 71 & 62 & 79 & 79 \end{array}
Send data to Excel 8 76 12 64

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Problem 725

Create a boxplot and find the 5-number summary for these cell phone radiation rates: 0.52, 0.55, 0.59, 0.62, 0.76, 1.11, 1.19, 1.21, 1.33, 1.38, 1.45.

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Problem 726

Create a boxplot and find the 5-number summary for the strontium-90 values: 129, 131, 135, 139, 142, 144, 147, 149, 152, 153, 155, 155, 155, 156, 159, 162, 165, 166, 168, 174.

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Problem 727

Analyze the violent-crime rates: Q1=272.8Q_{1}=272.8, Q2=387.4Q_{2}=387.4, Q3=529.1Q_{3}=529.1. Interpret these values correctly.

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Problem 728

Analyze the violent crime rates: Q1=272.8Q_{1}=272.8, Q2=387.4Q_{2}=387.4, Q3=529.1Q_{3}=529.1. Interpret and find the interquartile range.

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Problem 729

Find the third quartile Q3Q_{3} of gas mileage using Q1=19.71Q_{1}=19.71, μ=23.0\mu=23.0, σ=4.9\sigma=4.9, and Z0.75=0.67Z_{0.75}=0.67.

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Problem 730

Find the statistical measures and box plot for this data: 6, 9, 10, 11, 12, 13, 14, 14, 15, 16, 16, 16, 18. Min, Q1, Med, Q3, Max: \square.

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Problem 731

Calculate the min, Q1, median, Q3, max for the data set: 4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19. Create a box plot.

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Problem 732

Find the zz-scores for a woman and a man both 5.5 feet tall using the given means and standard deviations. Round to two decimal places.
zwoman=heightmeanwomanstdwoman z_{woman} = \frac{height - mean_{woman}}{std_{woman}}
zman=heightmeanmanstdman z_{man} = \frac{height - mean_{man}}{std_{man}}

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Problem 733

burvinin 7 Morinet thentrod Time left 0.45 .55 Plag queritan a 0992
b. None of the choices
c 0892 d 0.012

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Problem 734

Three students weighed a copper cylinder (true mass: 47.32 g47.32 \mathrm{~g}). Analyze their accuracy and precision based on their results.

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Problem 735

79. For a normally distributed population with mean 0 and standard deviation 1,0 , the population interquartile range is closest to which of the following values? a. 0.50 b. 1.28 - 1.349 d. 1.645 e. 1.96

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Problem 736

Here are the scores of 13 students on an algebra test. 59,63,68,68,77,79,81,82,83,86,88,90,9259,63,68,68,77,79,81,82,83,86,88,90,92
Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. \begin{tabular}{|l|} \hline \multicolumn{1}{|l|}{ Five-number summary } \\ Minimum: \\ Lower quartile: \\ Median: \\ Upper quartile: \\ Maximum: \\ \hline Interquartile range: \\ \hline \end{tabular}

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Problem 737

Español
The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below. Select the correct boxplot for the data set. \begin{tabular}{llllllll} 280 & 320 & 440 & 460 & 470 & 490 & 520 & 540 \\ 580 & 600 & 640 & 690 & 720 & 840 & 880 & 900 \\ 1060 & 1200 & 1270 & 1310 & 1400 & 1730 & 2600 & 3500 \end{tabular} A. B. C.

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Problem 738

Find the range of the data set: 1,2,3,3,3,4,4,4,5,71, 2, 3, 3, 3, 4, 4, 4, 5, 7. What is the difference between the largest and smallest values?

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Problem 739

Find the range of ages: 4, 1, 3, 9, 6, 3, 2, 4. Range: [maxmin\text{max} - \text{min}] = [?]

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Problem 740

How many standard deviations is \$183 from the mean of \$307 with a standard deviation of \$62? Round to two decimal places.

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Problem 741

How many standard deviations is Tyler's 11 pounds of sugar from the mean of 5 pounds with a standard deviation of 1.1 pounds? Round to two decimal places.

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Problem 742

Which zz score would you prefer on your statistics test: 2.00,1.00,0,1.00,2.00-2.00, -1.00, 0, 1.00, 2.00? Explain your choice.

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Problem 743

Find the zz-score for a test score of 48.4 (mean 66, SD 11) and check if it's significant (z<2z < -2 or z>2z > 2).

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Problem 744

Percentiles
The weights (in pounds) of 20 preschool children are 39,42,25,46,40,23,43,35,30,32,31,50,26,34,41,21,47,27,48,2239,42,25,46,40,23,43,35,30,32,31,50,26,34,41,21,47,27,48,22 Send data to calculator Send data to Excel
Find 10th 10^{\text {th }} and 75th 75^{\text {th }} percentiles for these weights. (If necessary, consult a list of formulas.) (a) The 10th 10^{\text {th }} percentile: II pounds (b) The 75th 75^{\text {th }} percentile: \square pounds Explanation Check

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Problem 745

- 10. On a physical fitness test middle school boys are awarded one point for each push-up they can do, and a point for each sit-up. National results showed that boys average 18 pushups with a standard deviation of 4 push-ups, and 34 sit-ups with standard deviation 11 . The mean of their combined (total) scores was therefore 18+34=5218+34=52 points. What is the standard deviation of their combined scores? A) 5.3 B) 11.7 C) 15 D) 137 E) It cannot be determined
11. Traffic accidents Police reports about the traffic accidents they investigated last year indicated that 40%40 \% of the accidents involved speeding, 25%25 \% involved alcohol, and 10%10 \% involved both risk factors. a. What is the probability that an accident b. Do these two risk factors appear to be involved neither alcohol nor speed? independent? Explain.

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Problem 746

Find the range of the data set: x={21,16,13,33,26}x = \{21, 16, 13, 33, 26\}.

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Problem 747

Find the best grading parameters for a score of X=65X=65:
1. μ=60\mu=60, σ=5\sigma=5
2. μ=60\mu=60, σ=10\sigma=10
3. μ=70\mu=70, σ=5\sigma=5
4. μ=70\mu=70, σ=10\sigma=10

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Problem 748

Find the lower and upper fences for outliers using the five-number summary: 55,68,75,82,9855, 68, 75, 82, 98. Choose the correct option.

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Problem 749

Identify resistant measures for describing distributions with extreme values: A. median & IQR B. mean & SD C. mean & IQR D. median & SD

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Problem 750

A new trainee scored 74 on a test with mean 77 and standard deviation 2. How does this score compare to others?

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Problem 751

Find the standard deviation of the sample: 29, 36, 42, 45, 48, 50, 50, 51, 53, 55, 59, 59. r.v. ==

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Problem 752

Find the standard deviation of the sample: 29, 36, 42, 45, 48, 50, 50, 51, 53, 55, 59, 59. Round as needed. r.v.= \text{r.v.} =

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Problem 753

Calculate the range and standard deviation of a data set. Fill in the table with xx, xμx-\mu, and (xμ)2(x-\mu)^{2}, rounding to four decimal places.

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Problem 754

) The following distribution shows the exam scores for all students in a statistics class. a. Complete the table above. b. Draw a histogram. c. Find the mean with one decimal place. d. Find the standard derivation with one decimal place. e. Interpret the shape of the distribution. (Hint: skewed to the left, skewed to the right, or

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Problem 755

John spent $75\$ 75 on a shopping trip for new clothes last week. He had expected to spend $100\$ 100 on clothes. \begin{tabular}{|c|c|c|c|c|c|} \hline Approximate Value & Exact Value & Error & Absolute Error & Ratio & Percent Error \\ \hline$100\$ 100 & $75\$ 75 & $25\$ 25 & & & \\ \hline \end{tabular}
How much was the absolute error in his estimate? \ \square$

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Problem 756

Completing the Steps in a lable \begin{tabular}{|c|c|} \hline Approximate value & aa \\ \hline Exact value & bb \\ \hline Absolute error & cc \\ \hline Ratio & dd \\ \hline Percenterror & ee \\ \hline \end{tabular}
A survey indicates that there are approximately 120 dairy farms in a given area. If there are exactly 400 farms, and exactly 20%20 \% of them are dairy farms, what is the percent error? Fill in the table below. a=b=c=d=ec=\begin{array}{l} a=\checkmark \checkmark \\ b=\checkmark \checkmark \\ c=\checkmark \checkmark \\ d=\checkmark \checkmark \\ e \\ c=\square \checkmark \end{array}

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Problem 757

Find the range, mean, variance, and standard deviation for the wins: 2,8,15,5,13,7,15,10,5,92, 8, 15, 5, 13, 7, 15, 10, 5, 9.

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Problem 758

Find the range, mean, variance, and standard deviation for this data set: 2,9,15,3,15,9,14,6,3,92, 9, 15, 3, 15, 9, 14, 6, 3, 9.

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Problem 759

Estimate the standard deviation ss using the range rule for brain volumes from 904 cm3904 \mathrm{~cm}^{3} to 1478 cm31478 \mathrm{~cm}^{3}. Compare to 164.8 cm3164.8 \mathrm{~cm}^{3}. Estimate s=cm3s = \square \mathrm{cm}^{3}.

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Problem 760

Use the Empirical Rule. If the mean speed is 63 mph and the SD is 5 mph, estimate the percent of vehicles between 58 mph and 68 mph.

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Problem 761

Estimate the number of farms with land and building values per acre between \$900 and \$1500 using the empirical rule.

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Problem 762

The mean land value is \$1200, SD is \$300, and sample size is 79. Estimate farms with values between \$900 and \$1500.

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Problem 763

Unit 3 17) Scientists want to find out if playing video games with violent content makes kids more prone to violar behavior. The scientists might have children come into a lab and have a certain number play a highty, violent video game, another group play a somewhat violent video game, and then a last group play a game with no violence. The scientists would then watch the kids play with other children and record any violent behavior. This is an example of an \qquad study. a. experimental b. observational 18) The average size sultcase that can fit under an airplane seat is 15.25 inches. The margin of error is ±2.5\pm 2.5 inches. Which of the following would not fit under the airplane seat? a. 12.5 b. 13 c. 17 d. 17.5
For \#19-20 indicate which sampling technique is described. 19) Kevin wants to find out the opinions of college students about the availability of parking spaces. He surveys students as they walk by his car. a. simple random b. stratified random c. systematic random d. cluster e. convenience 20) A teacher wants to survey 10 of her 30 students. She places their names on popsicle sticks and draws the sticks out of the cup to see who will take the survey. a. simple random b. stratified random c. systematic random d. cluster e. convenience 21) Is this question an Open Question or a Closed Question: What is your favorite flavor of ice cream? a. Open Question b. Closed Question
For \#22-23 use the table that represents the average number of inches of precipitation per month in Seattle to answer the questions. \begin{tabular}{|c|c|} \hline Month & \begin{tabular}{c} Average Rainfall per \\ Month (inches) \end{tabular} \\ \hline January & 4.81 \\ \hline February & 3.43 \\ \hline March & 3.51 \\ \hline April & 2.77 \\ \hline May & 2.16 \\ \hline June & 1.63 \\ \hline July & 0.79 \\ \hline August & 0.97 \\ \hline September & 1.52 \\ \hline October & 3.41 \\ \hline November & 7.05 \\ \hline December & 5.85 \\ \hline \end{tabular} 22) What is the median of the data? a. 3.16 b. 3.09 c. 4.16 d. 1.56 23) What is the IQR of the data? a. 4.16 b. 1.56 c. 2.59 d. 3.16

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Problem 764

State the range for the set of points. {(40,105),(2,84),(62,71),(30,94),(20,71),(40,110)}\{(-40,-105),(2,84),(-62,71),(30,-94),(-20,71),(-40,-110)\} Range ={105,110,94,71,30}=\{-105,-110,-94,71,30\} Range ={62,110,94,71,84}=\{-62,-110,-94,71,84\} Range ={105,40,94,71,84}=\{-105,-40,-94,71,84\} Range ={110,105,94,71,84}=\{-110,-105,-94,71,84\}

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Problem 765

Calculate the coefficient of variation for systolic and diastolic blood pressure measurements given:
Systolic: 118, 128, 159, 98, 157, 120, 114, 137, 126, 120 Diastolic: 80, 75, 73, 53, 88, 90, 60, 64, 72, 81
Find systolic CV: %\square \%.

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Problem 766

Calculate the coefficient of variation for male and female pulse rates and compare them. Males: 88, 70, 61, 70, 70, 52, 63, 52, 84, 72, 62, 62, 96, 56, 66; Females: 67, 81, 80, 70, 73, 86, 86, 88, 88, 90, 91, 71, 90, 81, 80.

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Problem 767

The box plot represents the number of minutes customers spend on hold when calling a company. Number of Minutes Spent on Hold
What is the upper quartile of the data? 3 5 6 8 Mark this and return Save and Exit Next Submit

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Problem 768

The data set represents the number of miles Mary jogged each day for the past nine days. 6,7,5,0,6,12,8,6,96,7,5,0,6,12,8,6,9
What is the outlier of the data? 0 6 7 12

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Problem 769

The data set below has a lower quartile of 13 and an upper quartile of 37 . 1,12,13,15,18,20,35,37,40,781,12,13,15,18,20,35,37,40,78
Which statement is true about any outliers of the data set? The data set does not have any outliers. The lowest value, 1 , is the only outlier. The greatest value, 78 , is the only outlier. Both 1 and 78 are outliers.

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Problem 770

Given data: 6,3,8,6,4,136, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, std. dev., Z scores, and describe shape.

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Problem 771

Given data: n=6n=6, values: 6, 3, 8, 6, 4, 13.
a. Find mean, median, mode. b. Find range, variance, standard deviation, coefficient of variation. c. Compute Z scores and identify outliers. d. Describe data shape. S<=12.666S^{<}=12.666, S=3.559S=3.559, CV=\mathrm{CV}=\square.

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Problem 772

Given data: 6, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, standard deviation, Z scores, and CV. Are there outliers?

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Problem 773

Given data: 6, 3, 8, 6, 4, 13 (n=6). Find mean, median, mode, range, variance, std. dev., Z scores, and data shape.

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Problem 774

Given data: 6, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, standard deviation, Z scores, and describe shape.

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Problem 775

The box plots show the grades in Calculus from 2 cities.
Final Grades AP Caclulus 2011-2021
Edmonton a. Which city had a larger Interquartile Range (IQR)? b. What was the maximum score Edmonton? c. What was the maximum scor Calgary? d. 50%50 \% of scores for both cities under the number... e. 25%25 \% of scores for both citie under the number...

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Problem 776

A local delivery company has a cumulative frequency table to show the distance it travels to deliver parcels. Distance (km) Cumulative frequency 0

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