Question

The mean of the following distribution is 35.​

Answer 1

Given -

Sum of Freq. = 25

Mean = 35 .

Now according to the given table

Sum of Freq = 17 + x1 + x2

17 + x1 +x2 = 25

x1 + x2 = 8

x1 = 8 - x2

Sum of products of frequency and mid point = 705 + 15x1+ 45x2

According to the formula of mean -

$x = \frac{ sum \: of \: fm}{sum \: of \: f \: }$

$35 \: = \frac{705 + 15x1 + 45x2}{25}$

875 = 705 + 15x1 + 45 x2

170 = 15x1 + 45x2

170 = 15(8-x2) + 45x2

170 = 120 - 15x2 + 45 x2

50 = 30 x2

x2 = 1.67

x 1 = 8 -x2

x1 = 8 - 1.67

x1 = 6.33

hope it helps

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