Question

1. the box plot represents the number of hours that 100 surveyed adults watch television in a given month.

(box plot image with axis 6,12,18,24,30,36,42,48,54,60,66,72,78,84)
a. what is the smallest value in the data set? interpret this value in the situation.
b. what is the largest value in the data set? interpret this value in the situation.
c. what is the median? interpret this value in the situation.
d. what is the first quartile (q1)? interpret this value in the situation.
e. what is the third quartile (q3)? interpret this value in the situation.

Explanation:

Part a

Step1: Identify smallest value from box plot

The leftmost whisker's end is at 6. So the smallest value is 6.

Step2: Interpret the value

In the context of hours adults watch TV per month, this means at least one surveyed adult watched 6 hours of TV in the month.

Step1: Identify largest value from box plot

The rightmost whisker's end is at 78. So the largest value is 78.

Step2: Interpret the value

In the context of hours adults watch TV per month, this means at least one surveyed adult watched 78 hours of TV in the month.

Step1: Identify median from box plot

The median (middle line of the box) is at 48.

Step2: Interpret the median

The median represents the middle value of the data set. So 50% of the 100 surveyed adults watched 48 hours or less of TV, and 50% watched 48 hours or more in the month.

Answer:

Smallest value: 6. Interpretation: At least one of the 100 surveyed adults watched television for 6 hours in the given month.

Part b