<h2>
Answer:</h2>
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.
<h2>
Step-by-step explanation:</h2>
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.
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.