Question

construct the cumulative frequency distribution for the given data. daily low (°f) frequency 35 - 39 2 40 - 44 3 45 - 49 5 50 - 54 13 55 - 59 7 60 - 64 5 65 - 69 1 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: Define cumulative - frequency

Cumulative frequency is the running total of frequencies.

Step2: Calculate cumulative - frequency for 'Less than 40'

The frequency for the class 35 - 39 is 2. So, the cumulative frequency for 'Less than 40' is 2.

Step3: Calculate cumulative - frequency for 'Less than 45'

The frequency for the class 40 - 44 is 3. Cumulative frequency for 'Less than 45' is $2 + 3=5$.

Step4: Calculate cumulative - frequency for 'Less than 50'

The frequency for the class 45 - 49 is 5. Cumulative frequency for 'Less than 50' is $5 + 5 = 10$.

Step5: Calculate cumulative - frequency for 'Less than 55'

The frequency for the class 50 - 54 is 13. Cumulative frequency for 'Less than 55' is $10+13 = 23$.

Step6: Calculate cumulative - frequency for 'Less than 60'

The frequency for the class 55 - 59 is 7. Cumulative frequency for 'Less than 60' is $23 + 7=30$.

Step7: Calculate cumulative - frequency for 'Less than 65'

The frequency for the class 60 - 64 is 5. Cumulative frequency for 'Less than 65' is $30 + 5=35$.

Step8: Calculate cumulative - frequency for 'Less than 70'

The frequency for the class 65 - 69 is 1. Cumulative frequency for 'Less than 70' is $35 + 1=36$.

Answer:

Daily Low Temperature ($^{\circ}$F)	Cumulative Frequency
Less than 45	5
Less than 50	10
Less than 55	23
Less than 60	30
Less than 65	35
Less than 70	36