Question

If the mean of the data is 25.75 , find the value of p.
x: 5,15,25,35,45
f: 3,p,15,8,5

Answer 1

Answer:

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Answer 2

Answer:

p = 9

Step-by-step explanation:

mean = sum of observations / number of observations

$\frac{(3 \times 5) + (15 \times p) + (25 \times 15) + (35 \times 8) + (45 \times 5)}{3 + p + 15 + 8 + 5} = 25.75 \\ \frac{15 + 15p + 375 + 280 + 225}{31 + p} = 25.75 \\ \frac{895 + 15p}{31 + p} = 25.75 \\ 895 + 15p = 25.75(31 + p) \\ 895 + 15p = 798.25 + 25.75p \\ 895 - 798.25 = 25.75p - 15p \\ 96.75 = 10.75p \\ p = \frac{96.75}{10.75} \\ p = 9$

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