Question

Construct the cumulative frequency distribution for the given data.

Daily Low ​(degrees°​F)	Frequency
​35-39	3
​40-44	2
​45-49	6
​50-54	15
​55-59	5
​60-64	5
​65-69	1

Construct the cumulative frequency distribution.

Daily Low Temperature ​(degrees°​F)	Cumulative Frequency
Less than 40
Less than 45
Less than 50
Less than 5
Less than 60
Less than 65
Less than 70

Answer 1

Solution

We are given frequency distribution as below

Daily Low ​(degrees°​F)	Frequency
​35-39	3
​40-44	2
​45-49	6
​50-54	15
​55-59	5
​60-64	5
​65-69	1

We have to find cumulative frequency distribution. Less than Cumulative frequency gives the number of observations less than or equal to upper limit of each class. To find cumulative frequency distribution we add the frequencies from top to bottom. Thus we get

Daily low temperature	calculation	cumulative frequency
Less than 40	3=	3
Less than 45	3+2=5	5
Less than 50	5+6=11	11
Less than 55	11+15=26	26
Less than 60	26+5=31	31
Less than 65	31+5=36	36
Less than 70	36+1=37	37