Question

The number of boots that 25 students had in their homes in Florida were recorded

below:
Create a box plot of the data above. Label the minimum, maximum, first quartile,
third quartiles and median

Answer 1

Min = 0; Q₁ = 0; Median = 2; Q₃ = 2; Max = 8

Explanation:

Assume that your sorted data are

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8

1. Minimum

Min = 0

2. Median

The median is the middle value in a sorted data set. There are 25 items, so the median is the 13th item.

Median = 2

3. First quartile

Q₁ is the median of the lower half of the data set.

The median of 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2 is 0.

Q₁ = 0

4. Third quartile

Q₃ is the median of the upper half of the data set.

The median of 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8 is 3.

Q₃ = 3

5. Maximum

Max = 8