Question

the following frequency distribution shows the daily savings of 64 children in a locality. the mean saving is ₹8 find x and y

Answer 1

Answer:

The value of x is 9 and y is 20

Step-by-step explanation:

The following frequency distribution shows the daily savings of 64 children in a locality. the mean saving is ₹8

$\text{Daily Saving}$         $x_i$         $\text{No. of children},f_i$          $f_ix_i$              

     1-3                   2            7                                 14

     3-5                  4            6                                 24

     5-7                  6            x                                 6x

     7-9                   8            13                               104

     9-11                  10            y                                10y

     11-13                 12           5                                 60

     13-15                14            4                                 56

                                      $\sum f_i=64$

$\sum f_i=64$

$7+6+x+13+y+5+4=64$

$x+y=29----------------(1)$

$Mean=\frac{\sum f_ix_i}{\sum f_i}$

Where, mean = 8 , $\sum f_i=64$ and $\sum f_ix_i=258+6x+10y$

$8=\frac{258+6x+10y}{64}$

$6x+10y=254----------------(2)$

Now we have two equation of x and y to solve for x and y using elimination method.

$6x+6y=174$

$6x+10y=254$

$4y=80$

$y=20$

$x+20=29$

$x=9$

Thus, The value of x is 9 and y is 20.

Answer 2

Forgive me for my bad handwriting.... Here's your answer...