Question

construct the cumulative frequency distribution for the given data. age (years) of best actress when award was won frequency 20 - 29 36 30 - 39 14 40 - 49 2 50 - 59 4 60 - 69 1 70 - 79 2 80 - 89

Explanation:

Step1: Define cumulative frequency

Cumulative frequency is the sum of frequencies of all data - values less than the upper - class limit of a particular class.

Step2: Calculate cumulative frequency for "Less than 30"

The frequency of the class 20 - 29 is 26. So, the cumulative frequency for "Less than 30" is 26.

Step3: Calculate cumulative frequency for "Less than 40"

Add the frequency of the class 30 - 39 to the previous cumulative frequency. 26+14 = 40.

Step4: Calculate cumulative frequency for "Less than 50"

Add the frequency of the class 40 - 49 to the previous cumulative frequency. 40 + 2=42.

Step5: Calculate cumulative frequency for "Less than 60"

Add the frequency of the class 50 - 59 to the previous cumulative frequency. 42+4 = 46.

Step6: Calculate cumulative frequency for "Less than 70"

Add the frequency of the class 60 - 69 to the previous cumulative frequency. 46+1 = 47.

Step7: Calculate cumulative frequency for "Less than 80"

Add the frequency of the class 70 - 79 to the previous cumulative frequency. 47+2 = 49.

Step8: Calculate cumulative frequency for "Less than 90"

Since there are no more classes, the cumulative frequency remains the same as for "Less than 80" if no data in the 80 - 89 class (assuming no frequency in the un - shown part). So it is 49.

Answer:

Age (years) of Best Actress when award was won	Cumulative Frequency
Less than 40	40
Less than 50	42
Less than 60	46
Less than 70	47
Less than 80	49
Less than 90	49