Question

Construct a data set that has the following statistics: mean = 15, median = 18, mode = 12. Which of the following data sets meets these criteria?

a) {10, 12, 15, 18, 20}
b) {12, 12, 15, 18, 20}
c) {15, 15, 15, 18, 20}
d) {10, 15, 18, 18, 20}

Answer 1

To construct a data set with a mean of 15, median of 18, and mode of 12, the correct data set is {10, 15, 18, 18, 20}.

Step-by-step explanation:

To construct a data set with a mean of 15, median of 18, and mode of 12, the correct data set is d) {10, 15, 18, 18, 20}.

This data set meets the criteria because the mean is calculated by summing all the numbers and dividing by the total number of values, which in this case is (10+15+18+18+20)/5 = 81/5 = 16.2.

The median is the middle value when the numbers are arranged in order, and in this data set, 18 is the middle value.

The mode is the number that appears most frequently, and in this data set, 18 appears twice, which is the mode.