For the collection of numbers 12, 15, 8, 13, 12, 15, 9, 16, 24, 20, 20, 16 and 10, answer the following:

(i) What is the cumulative frequency of 16?

(ii) If 15 - 20 be an overlapping class interval when the numbers are grouped, find the cumulative frequency of the class interval.

(iii) If 15 - 20 be a nonoverlapping class interval when the numbers are grouped, find the cumulative frequency of the class interval.

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Solution

(i) 10 (Since values $\leq$ 16 are 12, 15, 8, 13, 12, 15, 9, 16, 16, 10)

(ii) 10 (Since values < 20 are 12, 15, 8, 13, 12, 15, 9, 16, 16, 10)

(iii) 12 (Since values $\leq$ 20 are 12, 15, 8, 13, 12, 15, 9, 16, 20, 20, 16, 10)

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