Question

0. The arithmetic mean of the given frequency distribution is 472 and the total number of employees
is 100. Find the values of p and 4
Daily income (in) 200-300 300-400 400-500 500-600 600-700 700-800 900-900
No. of employees​

Answer 1

p = 36,  q = 16

Step-by-step explanation:

No. of employees, 5, p, 24, q, 9, 6, 4

Class            f        Mean    (mean - 550)/100      f * (mean - 550)/100

200-300     5         250          -3                        -15

300-400     p         350          -2                         -2p

400-500     24      450          -1                          -24

500-600     q        550          0                          0

600-700      9        650          1                           9

700-800      6        750          2                          12

800-900      4        850          3                          12

                48 + p + q                                     -6 - 2p

Mean = 550  + 100 * (-6 - 2p)/100)

472 = 550   - 6 - 2p

=> 2p = 72

=> p = 36

 48 + p + q = 100

p + q = 52

=> 36 + q = 52

=> q = 16

p = 36,  q = 16

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