Question

A random group of 5 boys and a random group of 5 girls were selected to determine whether boys or girls text more. The table shows the number of texts sent by each person during one day. Comparing the data sets, which inference can be made?

A) The number of texts sent by boys varies greatly.

B) The median is the best measure to use to compare the sets.

C) The outlier of 168 does not affect either the mean or median.

D) The median for the number of texts sent by boys is less than the median for the girls.


Boys: 19, 23, 26, 27, 30
Girls: 14, 17, 21, 25, 168

Answer 1

B) The median is the best measure to use to compare the sets.

Explanation:

Answer 2

The inference that can be made by the given data sets is: Option: B

B) The median is the best measure to use to compare the sets.

Explanation:

We are given a data set for Boys and Girls as:

Boys: 19, 23, 26, 27, 30

Girls: 14, 17, 21, 25, 168

• clearly we could see that there is a outlier in the data of girls i.e. 168 as it is a too high value as compared to other data values in the set.

This means that there is a greater spread in the number of texts sent by girls as compared to boys.

and data for girls have a greater variance as compared to boys.

Hence, option: A is discarded.

• Also,

Median of Boys= 26

and Median for Girls = 21

This means that Median for the number of texts sent by boys is more than those by girls.

Hence, option: D is discarded.

• Also we know that an outlier affect the mean and median of the data.

Hence, option: C is discarded.

• We know that median of the data is the central tendency of the data and best compare the set of data.

Hence, Option: B) is the correct answer.