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 measures of center for the given dataset, we first need to organize 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 sum up all the numbers and then divide by the total count of numbers.
Mean = (5+7+10+11+11+12+15+16+17+17+17+20+21+24) / 14
Mean = 202 / 14
Mean = 14.43

Median: The median is the middle value when the numbers are ordered from least to greatest. In this case, there are 14 numbers, so the median is the average of the 7th and 8th numbers.
Median = (12 + 15) / 2
Median = 13.5

Mode: The mode is the number that appears most frequently.
Mode = 17

Therefore, the measures of center for the given dataset are:
Mean: 14.43
Median: 13.5
Mode: 17