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

Mean: To find the mean, we add up all the numbers in the dataset and then divide by the total number of numbers.
Mean = (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14
Mean = 208 / 14
Mean = 14.86

So, the mean is approximately 14.86.

Median: To find the median, we first need to put the numbers in order from least to greatest.
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24

Since there is an even number of values, the median will be the average of the two middle values.
Median = (12 + 15) / 2
Median = 13.5

So, the median is 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, which is more than any other number in the dataset.

Therefore, the measures of center for the given dataset are:
Mean = 14.86
Median = 13.5
Mode = 17