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slega [8]
2 years ago
11

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

Mathematics
1 answer:
liq [111]2 years ago
5 0
<h2>Answer- P=<u>18</u></h2>

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 <em>p</em><em> </em>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 <em>p</em><em>.</em>

<em>\frac{15 + 60 + 25p + 105 + 90}{12 + p}  = 24</em>

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 <em>24</em><em>p</em><em> </em>from both sides

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

Also refer the attached image for further details

Hope it helps!

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