Question

if sigma fi = 17,sigma fixi=4p+63;and mean 7 then p=?​

Answer 1

The value of p is 14.

Explanation:

The formula to find the mean value of data by using frequency table is:

$\overline{x}=\dfrac{\sum f_ix_i}{\sum f_i}$

, Where $\sum f_ix_i}$ = Sum of product of midpoint $x_i$ of class interval and corresponding frequency.

$\sum f_i$ = Total frequency

As per given , we have

$\sum f_i=17$  ,  $\sum f_ix_i}=4p+63$ and $\overline{x}=7$

Put all values in formula , we get

$7=\dfrac{4p+63}{17}\\\\\Rightarrow\ 4p+63=17\times7=119\\\\ \Rightarrow\  4p=119-63\\\\\Rightarrow\ 4p=56\Rightarrow\ p=\dfrac{56}{4}=14$

Hence, the value of p is 14.

# Learn more :

If the mean of26,19,15,24and x is x then find mean

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Answer 2

Step-by-step explanation:

mean=sigma FX/F

7=4p+63/17

7×17=4p+63

119=4p+63

119-63=4p

56=4p

56/4=p

14=p

hence the value of p is 14

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