Question

Please!!!!!!!!

Answer 1

Answer:

The interquartile range of the data set is:  11 years

Step-by-step explanation:

The ages of a group of state governors at their inaugurations are listed below :

50,38,45,47,53,54,57,40,57,64,58,52

On arranging our data in increasing order i.e. in ascending order we have:

38  40  45  47  50 52  53  54  57  57  58  64

we divide our data into quartiles.

• The median of the data i.e. $Q_2$ is the middle value of the set.

Here in thus data the middle value will lie between 52 and 53.

Hence, the median is $\dfrac{52+53}{2}=52.5$

$Q_2=52.5$

• the lower data is given as:

       38    40   45    47   50   52

Hence $Q_1$ will lie between 45 and 47 which is 46.

Hence, $Q_1=46$

• the upper data is given as:

     53   54    57    57   58    64

Hence, $Q_3$ will lie between 57 and 57 which is 57.

Hence, $Q_3=57$

Hence, the interquartile range of the data is given as: $Q_3-Q_1$

$Q_3-Q_1=57-46=11$.

Hence, the interquartile range is 11 years.