Question

2. The following series gives the weekly wages. The mean wages are rupees 50.75. find
out the missing value.
Weekly Wages 40-43 43-46 46–49 49–52 5 9
Frequency 3 6
9
13
?
in (Ans. f = 36)

Plz solve this question...on a paper in gud handwriting...thnq so much...#stay safe# @stay home@

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Answer 1

The missing value is 36.

Step-by-step explanation:

We are given the mean wages of following data series of weekly wages;

 Weekly wages           Frequency (F)            X                 $X \times F$

      40 - 43                           3                      41.5                 124.5

      43 - 46                           6                      44.5                 267

      46 - 49                           9                      47.5                 427.5

      49 - 52                          13                      50.5                656.5

      52 - 55                          f                       53.5                 $53.5f$          

       Total                         31 + f                                    1475.5 + $53.5f$

Now, the mean of the frequency distribution is given by the following formula;

                        Mean,  $\bar X$  =  $\frac{\sum X \times F}{\sum F}$

                           ₹ 50.75  =  $\frac{1475.5+53.5f}{31+f}$

                  ${1475.5+53.5f} = 50.75 \times ({31+f})$

                  ${1475.5+53.5f} = 1573.25+50.75f}$          

                  $53.5f} -50.75f}= 1573.25-{1475.5$

                                 $2.75f}= 97.75$

                                   $f=\frac{97.75}{2.75}$

                                  f = 35.55  ≈ 36

Hence, the missing value is 36.

Answer 2

Answer:

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