Find the value of $p$ if the Mean of the following distribution is $50$
$x$ $10$ $30$ $50$ $70$ $90$
$y$ $17$ $5 p + 3$ $32$ $7 p - 11$ $19$

12

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\frac{- 25}{2}

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Solution

The correct option is B $\frac{- 25}{2}$
$m e a n (\frac{10 \times 17 + 30 (5 p + 3) + 50 \times 32 + 70 (7 p - 1) + 90 \times 19}{17 + 5 p + 3 + 32 + 7 p - 11 + 19}) 50 = (\frac{170 + 0150 p + 90 + 1600 + 490 p - 70 + 1710}{60 + 12 p}) 50 \times (60 + 12 p) = 3500 + 640 p 3000 + 600 p = 3500 + 640 p ∴ 40 p = - 500 ∴ p = (\frac{- 25}{2})$

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Similar questions

Q. The mean of the following distribution is

50

$x$	$10$	$30$	$50$	$70$	$90$
$f$	$17$	$5 a + 3$	$32$	$7 a - 11$	$19$

Find the value of

a

Q. The mean of the following distribution is 50.

x	10	30	50	70	90
f	17	5a + 3	32	7a – 11	19

Find the value of a and hence the frequencies of 30 and 70.

Q. Question 10
The mean of the following distribution is 50.

\begin{matrix} x & 10 & 30 & 50 & 70 & 90 f & 17 & 5 a + 3 & 32 & 7 a - 11 & 19 \end{matrix}

Find the value of a and hence the frequencies of 30 and 70.

Q. Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is

50

$x$ :	$10$	$30$	$50$	$70$	$90$
$f$ :	$17$	$f_{1}$	$32$	$f_{2}$	$19$	Total: $120$

The mean of the following distribution is 50.
$\begin{matrix} x & 10 & 30 & 50 & 70 & 90 f & 17 & 5 a + 3 & 32 & 7 a - 11 & 19 \end{matrix}$
Find the value of a and hence the frequencies of 30 and 70.

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Find the value of p if the Mean of the following distribution is 50x1030507090y175p+3327p−1119

The correct option is B −252mean(10×17+30(5p+3)+50×32+70(7p−1)+90×1917+5p+3+32+7p−11+19)50=(170+0150p+90+1600+490p−70+171060+12p)50×(60+12p)=3500+640p3000+600p=3500+640p∴40p=−500∴p=(−252)

Find the value of $p$ if the Mean of the following distribution is $50$
$x$ $10$ $30$ $50$ $70$ $90$
$y$ $17$ $5 p + 3$ $32$ $7 p - 11$ $19$