1.

Find the missing value of p for the distribution whose mean value is 14?X589p1215f810127561. 402. 423. 484. 52

Answer» Correct Answer - Option 2 : 42

Given:

Mean of the given data is 14 and data along with the frequency is given

Formula Used:

Direct formula for mean \(= {\rm{}}\sum {{\rm{f}}_{\rm{i}}}{{\rm{x}}_{\rm{i}}}/\sum {{\rm{f}}_{\rm{i}}}\)

Calculation:

Here we need to calculate the value of \({f_i}{x_i}\) and \({f_i}\) and the missing value be p

\({{\bf{x}}_{\bf{i}}}\)

\({{\bf{f}}_{\bf{i}}}\)

\({{\bf{f}}_{\bf{i}}}{{\bf{x}}_{\bf{i}}}\)

5

8

40

8

10

80

9

12

108

p

7

7K

12

5

60

15

6

90

 

\(\sum {{\bf{f}}_{\bf{i}}} = 48 + {\bf{p}}\)

\(\sum {{\bf{f}}_{\bf{i}}}{{\bf{x}}_{\bf{i}}} = 378 + 7{\bf{p}}\)

 

Now, Put these value in the given formula

∴ 14 = (378 + 7p)/48

⇒ 672 = 378 + 7p

⇒ p = 42

Hence, option (2) is correct


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