Here's the data (sorted) of the ages of 91 women who won the oscar for best actress in a leading role:

21, 22, 22, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 41, 41, 41, 41, 42, 42, 44, 45, 45, 45, 47, 49, 49, 54, 60, 60, 61, 61, 61, 62, 62, 74, 81

give the five number summary.

a. 21, 26, 36, 81, 91
b. 21, 28, 33, 41, 81
c. 21, 26, 30, 54, 81
d. 11.8, 21, 33, 36, 91

B. 21, 28, 33, 41, 81

Step-by-step explanation:

Data : 21, 22, 22, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 41, 41, 41, 41, 42, 42, 44, 45, 45, 45, 47, 49, 49, 54, 60, 60, 61, 61, 61, 62, 62, 74, 81

Five number summary includes :

1. Minimum vale

2. First Quartile

3. Median : mid value of the given data is 46th term = 33

4.Third Quartile

5.Maximum value

Solution :

1. Minimum vale : smallest value of data = 21

2. First Quartile: median of the data (first number to the actual median) i.e. from 1st term to 46th term

Median for even number of terms :  

n = 46

so, median =  

                    =

                    =

                   =

                     =

Thus first quartile = 28                

3. Median : mid value of the given data(ages of 91 women) is 46th term = 33

4.Third Quartile :median of the data (46th number[actual median] to the 91th)

Median for even number of terms :  

n = 46

so, median =  

                    =

                    =

                   =

                     =

Thus third quartile = 41

5.Maximum value : highest value of data = 81

Thus the five number summary is  21, 28, 33, 41, 81

Hence Option B is correct

step-by-step explanation:

this is not a question