Question

If the mean of the following frequency distribution is 8 find value for p x/y=3/8 5/8 7/15 9/p 11/8 13/4​

Answer 1

Answer:

The value of p  =  35

Step-by-step explanation:

Here, the frequency distribution is given  as -

x/y=3/8 5/8 7/15 9/p 11/8 13/4​ .

The tabular form is shown as follows where the third column is the product of x and y .

x      y         x * y

3      8         3 * 8 = 24

5      8         5 * 8  = 40

7       15        7 * 15 = 105

9      p          9 * p = 9p

11      8          11 * 8  = 88

13      4          13 * 4   =  52

Here, the summation of x *y = 24 + 40 + 105 + 9p + 88 + 52

                                              = 309 + 9p

the summation of y = 8 + 8 + 15 + p + 8 + 4

                                =  43 + p

The mean is given by   =  ∑x*y/∑y

                     8  =  (309 + 9p)/(43 + p)

=>  344 + 8p  =  309 + 9p

=>  p  =  35

Thus, the value of p  =  35