Question

the box plots show the high temperatures in may and september for denver in degrees in fahrenheit. which can you tell about the mean temperatures for these two months?

Answer 1

The mean temperature for May is higher than September's mean.

Answer 2

The mean temperature of May is higher than the mean temperature of September.

Explanation:

The mean is calculated from the box-plot as follows:

It is the ratio of Sum of (Least value, greatest value, Lower quartile i.e.
`Q_1` , Median i.e.
`Q_2` and Upper quartile i.e.
`Q_3` ) to the number of points i.e. 5.

• Hence, From the Box plot of May we have:

Least value=52

Greatest value=79

Lower quartile or first quartile i.e.
`Q_1`=63

Middle quartile or Median i.e.
`Q_2`=71

Upper quartile or Third quartile i.e.
`Q_3`=73

`Mean=(52+63+71+73+79)/(5)\\\\\\Mean=67.6`

• Hence, From the Box plot of September we have:

Least value=47

Greatest value=88.5

Lower quartile or first quartile i.e.
`Q_1`=52

Middle quartile or Median i.e.
`Q_2`=62

Upper quartile or Third quartile i.e.
`Q_3`=77.5

`Mean=(47+88.5+52+62+77.5)/(5)\\\\\\Mean=65.4`

Hence, the mean of May is higher as compared to September.