Math / Data & Statistics

QuestionQuestion Completion Status:
QUESTION 7
The data set below contains the maximum wind speeds (in miles per hour) of 15 hurricanes in 2005 hurricane season. $[75,150,160,105,175,115,90,85,80,180,80,75,185,115,85]$
Create a graph (dotplot, histogram, stem and leaf plot) of the data. Which statement below best describes this data set? A. The data has a symmetric distribution so the mean is a better measure of the center of the data set than the median. B. The data are skewed so the median is a better measure of the center of the data set than the mean. C. The data has a symmetric distribution so the median is a better measure of the center of the data set than the mean. D. The mode is the measure that best describes the center of the data set.
QUESTION 8 5 points $30 \%$ of high school students in a small town enjoy riding public transportation. In a random sample of 80 high school students, $45 \%$ responded that they enjoy riding public transportation. Which numerical value represents a parameter?

Studdy Solution

STEP 1

1. We need to analyze the data set of wind speeds and create a visual representation.
2. We need to determine the best measure of central tendency based on the distribution.
3. We need to identify the parameter from the given statistical information about high school students.

STEP 2

1. Create a graph of the hurricane wind speed data.
2. Analyze the distribution of the data.
3. Identify the parameter in the high school students' data.

STEP 3

Choose a type of graph to represent the data. For simplicity, let's create a stem and leaf plot.

STEP 4

Create a stem and leaf plot:
- Stems represent the tens digit. - Leaves represent the units digit.
$\begin{array}{c|l} \text{Stem} & \text{Leaves} \\ \hline 7 & 5, 5 \\ 8 & 0, 0, 5, 5 \\ 9 & 0 \\ 10 & 5 \\ 11 & 5, 5 \\ 15 & 0 \\ 16 & 0 \\ 17 & 5 \\ 18 & 0 \\ 18 & 5 \\ \end{array}$

STEP 5

Analyze the distribution of the data. The data appears to be skewed to the right because there are more data points on the lower end and fewer on the higher end.

STEP 6

Based on the skewed distribution, the median is a better measure of the center than the mean.

STEP 7

Identify the parameter in the high school students' data. A parameter is a value that describes a characteristic of a population. In this case, $30\%$ of high school students enjoy riding public transportation, which is the parameter.
The best statement for the hurricane data set is: $\text{B. The data are skewed so the median is a better measure of the center of the data set than the mean.}$
The parameter in the high school students' data is: $30\%$

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Studdy Solution

STEP 1

1. We need to analyze the data set of wind speeds and create a visual representation.
2. We need to determine the best measure of central tendency based on the distribution.
3. We need to identify the parameter from the given statistical information about high school students.

STEP 2

1. Create a graph of the hurricane wind speed data.
2. Analyze the distribution of the data.
3. Identify the parameter in the high school students' data.

STEP 3

Choose a type of graph to represent the data. For simplicity, let's create a stem and leaf plot.

STEP 4

Create a stem and leaf plot:
- Stems represent the tens digit. - Leaves represent the units digit.
$\begin{array}{c|l} \text{Stem} & \text{Leaves} \\ \hline 7 & 5, 5 \\ 8 & 0, 0, 5, 5 \\ 9 & 0 \\ 10 & 5 \\ 11 & 5, 5 \\ 15 & 0 \\ 16 & 0 \\ 17 & 5 \\ 18 & 0 \\ 18 & 5 \\ \end{array}$

STEP 5

Analyze the distribution of the data. The data appears to be skewed to the right because there are more data points on the lower end and fewer on the higher end.

STEP 6

Based on the skewed distribution, the median is a better measure of the center than the mean.

STEP 7

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Studdy Solution

STEP 1

1. We need to analyze the data set of wind speeds and create a visual representation.2. We need to determine the best measure of central tendency based on the distribution.3. We need to identify the parameter from the given statistical information about high school students.

STEP 2

1. Create a graph of the hurricane wind speed data.2. Analyze the distribution of the data.3. Identify the parameter in the high school students' data.

STEP 3

Choose a type of graph to represent the data. For simplicity, let's create a stem and leaf plot.

STEP 4

STEP 5

Analyze the distribution of the data. The data appears to be skewed to the right because there are more data points on the lower end and fewer on the higher end.

STEP 6

Based on the skewed distribution, the median is a better measure of the center than the mean.

STEP 7

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. We need to analyze the data set of wind speeds and create a visual representation.
2. We need to determine the best measure of central tendency based on the distribution.
3. We need to identify the parameter from the given statistical information about high school students.

1. Create a graph of the hurricane wind speed data.
2. Analyze the distribution of the data.
3. Identify the parameter in the high school students' data.