Question

How many pairs of shoes does a typical teenage boy own? To find out, a group of statistics
students surveyed a random sample of 20 male students from their large high school. Then
they recorded the number of pairs of shoes that each boy owned. Here are the data:
4
5
5
Ол
5
6
7
7
7
7
00
10
10
10
10
11
12
14
22
35
38
Luis is at the first quartile Q1 of the distribution. How many pairs of shoes does
Luis own?

Answer 1

Using the percentile concept, it is found that:

Luis owns more shoes than 5 students, thus he owns 7 pairs of shoes, and the correct option is the second.

----------------------

• An amount is said to be at the xth percentile of a data-set if the amount is greater than x% of the distribution and lesser than (100 - x)%.
• The first quartile is the 25th percentile, as $\frac{100}{4} = 25$.
• There are 20 students.
• $0.25(20) = 5$, thus, Luis owns more shoes than 5 students, thus he owns 7 pairs of shoes, and the correct option is the second.

A similar problem is given at https://brainly.com/question/24495213