Question

construct the cumulative frequency distribution for the given data. daily low (°f) frequency 35 - 39 1 40 - 44 2 45 - 49 6 50 - 54 9 55 - 59 5 60 - 64 7 65 - 69 1 construct the cumulative frequency distribution. daily low temperature (°f) cumulative frequency less than 40 less than 45 less than 50 less than 55 less than 60 less than 65 less than 70

Explanation:

Step1: Calculate cumulative frequency for less than 40

The frequency of values in the range 35 - 39 is 1 and there are no values less than 35. So cumulative frequency less than 40 is 1.

Step2: Calculate cumulative frequency for less than 45

Add the frequency of the 40 - 44 range to the previous cumulative frequency. 1 (from 35 - 39) + 2 (from 40 - 44)=3.

Step3: Calculate cumulative frequency for less than 50

Add the frequency of the 45 - 49 range to the previous cumulative frequency. 3+6 = 9.

Step4: Calculate cumulative frequency for less than 55

Add the frequency of the 50 - 54 range to the previous cumulative frequency. 9+9 = 18.

Step5: Calculate cumulative frequency for less than 60

Add the frequency of the 55 - 59 range to the previous cumulative frequency. 18+5 = 23.

Step6: Calculate cumulative frequency for less than 65

Add the frequency of the 60 - 64 range to the previous cumulative frequency. 23+7 = 30.

Step7: Calculate cumulative frequency for less than 70

Add the frequency of the 65 - 69 range to the previous cumulative frequency. 30+1 = 31.

Answer:

Less than 40: 1
Less than 45: 3
Less than 50: 9
Less than 55: 18
Less than 60: 23
Less than 65: 30
Less than 70: 31