Question

The two data sets shown below are almost identical, except that the 63 from the first dataset has been replaced by a 3 in the second data set.Which of the following statements are true? Select two that apply.Data Set 1: 32, 41, 51, 63, 66, 71Data Set 2: 32, 41, 51, 3, 66, 71​

a. The median of both data sets is the same.
b. The mean of Data Set 1 is higher than the mean of Data Set 2.
c. The range of Data Set 1 is equal to the range of Data Set 2.
d. The mode of Data Set 1 is the same as the mode of Data Set

Answer 1

The median of both data sets is the same. The range of Data Set 1 is equal to the range of Data Set 2.

Step-by-step explanation:

a. The median of both data sets is the same.

c. The range of Data Set 1 is equal to the range of Data Set 2.

To determine if the statements are true, we can compare the given datasets.

The median is the middle value of a dataset when it is arranged in order. In both Data Set 1 and Data Set 2, the median is the 4th value, which is 63 and 3 respectively.

The range is the difference between the largest and smallest values in a dataset. For Data Set 1 and Data Set 2, the range is the same because the largest value and the smallest value are the same in both datasets.