Question

4. Find the unknown values in the following table:

Class interval Frequency Cumulative frequency

0 – 10

10 – 20

20 – 30

30 – 40

40 - 50 5

7

x2

5

x4 5

x1

18

x3

30​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given:

$\begin{tabular}{|c|c|c|}\cline{1-3}Class\:interval&frequency&CF\\\cline{1-3}0-10&5&5\\\cline{1-3}10-20&7&x_1\\\cline{1-3}20-30&x_2&18\\\cline{1-3}30-40&5&x_3\\\cline{1-3}40-50&x_4&30\\\cline{1-3}\end{tabular}$

To find: Unknowns $x_1,x_2,x_3,x_4$

Solution:

We know that frequency and cumulative frequencies are dependent on each other.

$x_1 = 5 + 7 = 12 \\ \\ 12 + x_2 = 18 \\ \\ x_2 = 18 -12\\ \\ x_2 = 6 \\ \\ x_3 = 18 + 5 = 23\\\\23+x_4=30\\\\x_4=7$

Thus,

$\bold{x_1=12,x_2=6,x_3=23,x_4=7}$

$\begin{tabular}{|c|c|c|}\cline{1-3}Class\:interval&frequency&CF\\\cline{1-3}0-10&5&5\\\cline{1-3}10-20&7&12\\\cline{1-3}20-30&6&18\\\cline{1-3}30-40&5&23\\\cline{1-3}40-50&7&30\\\cline{1-3}\end{tabular}$

Hope it helps you.

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