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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Mean = (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14
Mean = 198 / 14
Mean = 14.14

Median: To find the median, we first need to 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 will be the average of the middle two numbers, which are the 7th and 8th numbers.

Median = (12 + 15) / 2
Median = 13.5

Mode: The mode is the number that appears most frequently in the dataset.

In this case, the mode is 17, as it appears 3 times in the dataset, which is more frequent than any other number.