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:
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measures of center for the given dataset, we first need to arrange the data in numerical order:

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

Mean:
To find the mean, we add up all the numbers in the dataset and divide by the total number of values:
(5 + 7 + 10 + 11 + 11 + 12 + 15 + 16 + 17 + 17 + 17 + 20 + 21 + 24) / 14 = 190 / 14 = 13.57 (rounded to 2 decimal places)

Median:
The median is the middle value in a dataset when the values are in numerical order. Since the dataset has an even number of values, we take the average of the two middle values:
Median = (12 + 15) / 2 = 13.5

Mode:
The mode is the value that appears most frequently in the dataset. In this case, the mode is 17, as it appears three times, which is more than any other value in the dataset.

Therefore, the measures of center for the given dataset are:
Mean: 13.57
Median: 13.5
Mode: 17