Analyze Data Shape and Context Practice

Question

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Question
Find the measures of center—mean, median, and mode—for the given dataset.

10, 17, 11, 24, 12, 7, 15, 17, 20, 5, 11, 21, 16, 17

(2 points)
mean:
; median:
; mode:

Answer 1

To find the mean, add up all the numbers in the dataset and then divide it by the total number of values:

10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17 = 198

There are 14 numbers in the dataset, so the mean is 198/14 = 14.14 (rounded to two decimal places).

To find the median, first arrange the numbers in ascending order:

5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24

Since there are 14 numbers, the median is the average of the 7th and 8th numbers. Therefore, the median is (12 + 15)/2 = 13.5.

To find the mode, determine which number appears most frequently in the dataset. In this case, the number 17 appears 3 times, which is the highest frequency, so the mode is 17.

Answer 2

its incorrect

Answer 3

Apologies for the incorrect answer. Let's recalculate the measures of center for the given dataset.

To find the mean, add up all the numbers in the dataset and then divide it by the total number of values:

10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17 = 198

There are 14 numbers in the dataset, so the mean is 198/14 = 14.14 (rounded to two decimal places).

To find the median, first arrange the numbers in ascending order:

5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24

Since there are 14 numbers, the median is the average of the 7th and 8th numbers. Therefore, the median is (12 + 15)/2 = 13.5.

To find the mode, determine which number appears most frequently in the dataset. In this case, the number 17 appears 3 times, which is the highest frequency, so the mode is 17.

I apologize for any confusion caused by the previous response. Please let me know if you have any further questions.