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

Question

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, we sum up all the values in the dataset and divide by the total number of values.

Mean: (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14
Mean: 208 / 14
Mean: 14.857 (rounded to three decimal places)

To find the median, we first need to arrange the dataset in order from least to greatest:

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

Now we look for the middle number. Since we have 14 numbers, the middle two numbers are at positions 7 and 8. We take the average of these two numbers to find the median:

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

To find the mode, we look for the number(s) that occur most frequently in the dataset:

Mode: 17

Answer 2

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 3

To find the mean, we sum up all the values in the dataset and divide by the total number of values.

Mean: (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14
Mean: 208 / 14
Mean: 14.857 (rounded to three decimal places)

To find the median, we first need to arrange the dataset in order from least to greatest:

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

Now we look for the middle number. Since we have 14 numbers, the middle number is at position 7.

Median: 15

To find the mode, we look for the number(s) that occur most frequently in the dataset:

Mode: 17