Question

Construct the cumulative frequency distribution for the given data.
Age​ (years) of Best Actress when award was won Frequency ​
20-29 28 ​
30-39 37
​40-49 14 ​
50-59 3
​60-69 4
​70-79 1
​80-89 1
Age​ (years) of Best Actress when award was won Cumulative Frequency
Less than 30
Less than 40
Less than 50
Less than 60
Less than 70
Less than 80
Less than 90

Answer 1

Answer:

 Age                               Frequency                   Cumulative Frequency

 Less than 30                             28                                       28

 Less than 40                             37                                28 + 37  =  65

 Less than 50                              1 4                                 65 + 14   =  79

 Less than 60                               3                                  79 + 3   =  82

 Less than 70                                4                                 82 + 4   =  86

 Less than 80                                1                                     86 + 1  =  87

 Less than 90                                1                                    87 + 1  =  88

Step-by-step explanation:

Given:

The Frequency Distribution table of ages of best actresses when award was won

To find:

Construct the cumulative frequency distribution

Solution:

In order to construct cumulative frequency distribution for the given data, each frequency from above table is added to the sum of the previous frequencies. For example, frequency for Less than 40  is 37 and the previous frequency (less than 30) is 28 so in order to calculate cumulative frequency 28 i.e. previous frequency is added to 37 (frequency of less than 30) and the cumulative frequency is 65. The complete table is given above.