Math / Data & Statistics

QuestionAnswer the questions below. (a) The following number of people attended the last 9 screenings of a movie: $117 \text {, 195, 197, 198, 199, 202, 204, } 207 \text {, } 209 .$
Which measure should be used to summarize the data? Mean Median Mode (b) Salma has recorded the number of miles she has driven for each of the last 10 weeks: $386,388,392,395,396,402,406,407,415,418 .$
Which measure should be used to summarize the data? Mean Median Mode (c) Jina wants to determine which letter appears the most often in her favorite poem.
Which measure should she use? Mean Median Mode

Studdy Solution

STEP 1

1. For part (a), we are considering which measure of central tendency (mean, median, mode) best summarizes the data.
2. For part (b), we are considering which measure of central tendency (mean, median, mode) best summarizes the data.
3. For part (c), we are considering which measure of central tendency (mean, median, mode) is appropriate for determining the most frequently occurring item.

STEP 2

1. Analyze data distribution for part (a).
2. Analyze data distribution for part (b).
3. Determine the appropriate measure for part (c).

STEP 3

Analyze the data distribution for part (a):
- The data set is: $117, 195, 197, 198, 199, 202, 204, 207, 209$ . - The data appears to be fairly evenly distributed without significant outliers. - The mean will give an average, the median will give the middle value, and the mode will indicate the most frequent value.

STEP 4

Determine the appropriate measure for part (a):
- Since there are no significant outliers and the data is evenly distributed, the mean is a suitable measure to summarize the data.

STEP 5

Analyze the data distribution for part (b):
- The data set is: $386, 388, 392, 395, 396, 402, 406, 407, 415, 418$ . - The data is evenly distributed without significant outliers. - The mean will give an average, the median will give the middle value, and the mode will indicate the most frequent value.

STEP 6

Determine the appropriate measure for part (b):
- Since there are no significant outliers and the data is evenly distributed, the mean is a suitable measure to summarize the data.

STEP 7

Determine the appropriate measure for part (c):
- Jina wants to find the most frequently occurring letter. - The mode is the measure that identifies the most frequently occurring item in a data set.
The solutions are: (a) Mean (b) Mean (c) Mode

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Studdy Solution

STEP 1

STEP 2

1. Analyze data distribution for part (a).
2. Analyze data distribution for part (b).
3. Determine the appropriate measure for part (c).

STEP 3

STEP 4

Determine the appropriate measure for part (a):
- Since there are no significant outliers and the data is evenly distributed, the mean is a suitable measure to summarize the data.

STEP 5

STEP 6

Determine the appropriate measure for part (b):
- Since there are no significant outliers and the data is evenly distributed, the mean is a suitable measure to summarize the data.

STEP 7

Determine the appropriate measure for part (c):
- Jina wants to find the most frequently occurring letter. - The mode is the measure that identifies the most frequently occurring item in a data set.
The solutions are: (a) Mean (b) Mean (c) Mode

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Studdy Solution

STEP 1

STEP 2

1. Analyze data distribution for part (a).2. Analyze data distribution for part (b).3. Determine the appropriate measure for part (c).

STEP 3

STEP 4

Determine the appropriate measure for part (a):- Since there are no significant outliers and the data is evenly distributed, the **mean** is a suitable measure to summarize the data.

STEP 5

STEP 6

Determine the appropriate measure for part (b):- Since there are no significant outliers and the data is evenly distributed, the **mean** is a suitable measure to summarize the data.

STEP 7

Determine the appropriate measure for part (c):- Jina wants to find the most frequently occurring letter. - The **mode** is the measure that identifies the most frequently occurring item in a data set. The solutions are: (a) Mean (b) Mean (c) Mode

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1. Analyze data distribution for part (a).
2. Analyze data distribution for part (b).
3. Determine the appropriate measure for part (c).

Determine the appropriate measure for part (a):
- Since there are no significant outliers and the data is evenly distributed, the mean is a suitable measure to summarize the data.

Determine the appropriate measure for part (b):
- Since there are no significant outliers and the data is evenly distributed, the mean is a suitable measure to summarize the data.

Determine the appropriate measure for part (c):
- Jina wants to find the most frequently occurring letter. - The mode is the measure that identifies the most frequently occurring item in a data set.
The solutions are: (a) Mean (b) Mean (c) Mode