My question is that 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 which is the interquartile range of the data set?

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.

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

Hence, the median is

       38    40   45    47   50   52

Hence will lie between 45 and 47 which is 46.

Hence,

     53   54    57    57   58    64

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

Hence,

Hence, the interquartile range of the data is given as:

.

Hence, the interquartile range is 11 years.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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