Question

go beyond
complete the cumulative frequency column in the table below.
scores of 40 students in a 100 - item math test

1. 39 3
2. 47 5
3. 55 10
4. 64 9
5. 77 7
6. 86 4
7. 95 2
8. total n = 40

Explanation:

Step1: Calculate cumulative frequency for first row

Cumulative frequency for first row (score = 39) is just its frequency. So \( cf_1=3\)

Step2: Calculate cumulative frequency for second row

Add frequency of second row to previous cumulative frequency. \( cf_2 = 3 + 5=8\)

Step3: Calculate cumulative frequency for third row

Add frequency of third row to previous cumulative frequency. \( cf_3=8 + 10 = 18\)

Step4: Calculate cumulative frequency for fourth row

Add frequency of fourth row to previous cumulative frequency. \( cf_4=18+9 = 27\)

Step5: Calculate cumulative frequency for fifth row

Add frequency of fifth row to previous cumulative frequency. \( cf_5=27 + 7=34\)

Step6: Calculate cumulative frequency for sixth row

Add frequency of sixth row to previous cumulative frequency. \( cf_6=34+4 = 38\)

Step7: Calculate cumulative frequency for seventh row

Add frequency of seventh row to previous cumulative frequency. \( cf_7=38+2 = 40\)

Answer:

Scores	\(f\)	\(cf\)
47	5	8
55	10	18
64	9	27
77	7	34
86	4	38
95	2	40
Total	\(N = 40\)	40