Question

The given cumulative frequency distribution shows the class intervals and their corresponding cumulative frequencies. Class 10–20 20 –30 30–40 Cumulative frequency 5 14 25 Then, the frequency of class interval 20–30 is :

(a) 5
(b) 9
(c) 11
(d) 20​

Answer 1

Answer:

Frequency of (20-30) = 9

Step-by-step explanation:

Classes Cumulative Frequency Frequency

10-20. 5. 5

20-30. 14. 9

30-40. 25. 11

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The given cumulative frequency distribution shows the class intervals and their corresponding cumulative frequencies. Class 10–20 20 –30 30–40 Cumulative frequency 5 14 25 Then, the frequency of class interval 20–30 is :

(a) 5

(b) 9

(c) 11

(d) 20

EVALUATION

Here the given classes are

10 – 20 , 20 – 30 , 30 – 40

The Cumulative frequencies are 5 , 14 , 25 respectively

We tabulate the Values to generate the frequency table as below

$\begin{gathered} \begin{array}{|c|c| c| } \bf{Class \: Interval} & \bf{Cumulative \: Frequency }& \bf{Frequency} \\ \\ 10 - 20 & 5 & 5 \\ \\20 - 30 & 14 & 14 - 5 = 9 \\ \\30 - 40 & 25 & 25 - 14 = 11 \ \end{array}\end{gathered}$

From above table we see that the frequency of class interval 20 – 30 is 9

FINAL ANSWER

Hence the correct option is (b) 9

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