Question

11 8 15 12 11 12 11 14 15 5 6 11

16 14 13 14 13 9 11 19 12 10 13 5

13 7 3 14 13 16 20 15 5 15 15 5

15 7 9 11 17 18 10 14 9 7 4 15

13 12 16 8 12 12

Give the frequency, relative frequency, cumulative frequency, and relative cumulative frequency for each class. (I.e., a standard complete frequency distribution)      

Answer 1

Solution:

Arranging data in ascending order:

3, 4, 5, 5, 5, 5, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 17, 18, 19, 20

Relative frequency$=\dfrac{f_i}{\Sigma f_i}$ and relative cumulative frequency$=\dfrac{\text{cumulative frequency of }f_i}{\Sigma f_i}$