Question

Below is a boxplot of time students spent exercising per week. What is a realistic mean and median for the distribution in this boxplot?

Answer 1

Answer:

the answer is A

Step-by-step explanation:

Answer 2

Answer:

Mean=6

and Median=7

Step-by-step explanation:

Clearly from the box-plot we could observe that:

Least value=1

First quartile i.e. $Q_1$=5

Second quartile i.e. Median i.e. $Q_2$=7

Third quartile i.e. $Q_3$=8

Maximum value=10

Hence, we have:

Median=7

We calculate the mean from the box and whisker plot by :

finding  the average of:  Least value, Maximum value, First quartile (i.e. $Q_1$) , Second quartile i.e. Median ( i.e. $Q_2$ ) and the third quartile ( i.e. $Q_3$ )

i.e.

$Mean=\dfrac{1+5+7+8+10}{5}\\\\Mean=\dfrac{31}{5}\\\\Mean=6.2$

which is approximately given to be 6.

Hence, Mean=6

Median=7