Question

If the mean of the following data is 18.75, find the value of p

Xi = 10,15,p,25,30 and Fi = 5,10,7,8,2

Answer 1

Step-by-step explanation:

$mean = 18.75 \\ \\ mean = \frac{Efixi}{Efi} \\ 18.75 = \frac{460 + 7p}{32 } \\ 18.75 \times 32 = 460 + 7p \\ 600 - 460 = 7p \\7 p = 140 \\ p = \frac{140}{7} \\ p = 20...$

Answer 2

${\underline{\underline{\mathbb{\orange{ REFER \: TO \: THE\: ATTACHMENTS! }}}}}$

☺️

$\Huge\mathfrak{Or}$

$\sf\pink{↪\sum fi = 32}$

$\sf\red{↪\sum fixi = 460+7p}$

$\sf\blue{ ↪ Mean = 18.75 }$

$\sf\orange{↪Mean = \frac{ \sum{fixi} }{\sum{fi} } }$

$\sf\purple{↪18.75= \frac{460+7p}{32} }$

$\sf{On \: cross \: multiplication :}$

$\sf{↪18.75 \times 32 = 460 + 7p}$

$\sf{600 -460 = 7p}$

$\sf{↪140 = 7p}$

$\sf{ ↪ \cancel\frac{140}{7} = p}$

$\boxed{\sf{↪p = 20}}$