Question

WILL GIVE BRAINLIEST‼️‼️ If the mean of the following frequency distribution is 24; determine the value of p.​

Answer 1

Answer- P=18

Step-by-step explanation:

Greetings !

Firstly, find the class-midpoints (X) to solve for the mean.

Thus, mid points of each classes are

$5.15.25.35.45$

Solve, for p using mean grouped data formula

$\frac{5(3) + 15(4) + 25(p) + 35(3) + 45(2)}{3 + 4 + p + 3 + 2} = 24$

multiply each values add them and solve for p.

$\frac{15 + 60 + 25p + 105 + 90}{12 + p} = 24$

make a cross multiplication

$270 + 25p = 24(12 + p) \\ 270 + 25p = 288 + 24p$

subtract 270 from both sides

$270 + 25p - 270 = 288 + 24p - 270 \\ 25p = 24p + 18$

subtract 24p from both sides

$25p - 24p = 24p + 18 - 24p \\ p = 18$

Also refer the attached image for further details

Hope it helps!