Question

If Σfi = 13, Σfixi = 3p + 70 and the mean of any distribution is 7, then the value of p is:​

Answer 1

Given:-

• Sum of frequencies (Σ f¡)=13
• Σfixi = 3p + 70
• Mean Distribution=7

To Find:-

• The value of p.

Solution:-

$\huge\underline{\overline{\mid{\bold{\blue{\mathcal{ Mean = \frac{ Σfixi }{Σfi} }}\mid}}}}$

According to the Question

$7 = \frac{3p + 70}{13}$

$= > 3p + 70 = 13 \times 7$

$= > 3p + 70 = 91$

$= > 3p = 91 - 70$

$= > 3p = 21$

$= > p = \frac{21}{3}$

$= > p = 7$

So, The Value of p is 7.

Answer 2

According to the Question

$7 = \frac{3p + 70}{13}$

$= > 3p + 70 = 13 \times 7$

$= > 3p + 70 = 91$

$= > 3p = 91 - 70$

$= > 3p = 21$

$= > p = \frac{21}{3}$

$= > p = 7$

So, The Value of p is 7.