If the mean of the data is 60- find the value of p - Class mark frequency- 25-35 12- 35-45 16- 45-55 p- 55-65 15- 65-75 8- 75-85 19- 85-95 13- -

[ Class mark (x_i) amp; Frequency (f_i) amp; (x_if_i); 30 amp; 12 amp; 360; 40 ...

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Standard X

Mathematics

Mean

If the mean o...

Question

If the mean of the data is 60, find the value of p

$\begin{matrix} C l a s s m a r k & f r e q u e n c y 25 - 35 & 12 35 - 45 & 16 45 - 55 & p 55 - 65 & 15 65 - 75 & 8 75 - 85 & 19 85 - 95 & 13 \end{matrix}$

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Solution

The correct option is D
17

$\begin{matrix} C l a s s m a r k (x_{i}) & F r e q u e n c y (f_{i}) & (x_{i} f_{i}) 30 & 12 & 360 40 & 16 & 640 50 & p & 50 p 60 & 15 & 900 70 & 8 & 560 80 & 19 & 1520 90 & 13 & 1170 \end{matrix}$

Mean = $\frac{\sum f_{i} x_{i}}{\sum f_{i}}$

$\sum f_{i} = 83 + p$

$\sum f_{i} x_{i} = 5150 + 50 p$

$\frac{5150 + 50 p}{83 + p} = 60$

$5150 + 50 p = 4980 + 60 p$

$170 = 10 p$

$p = 17$

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Similar questions

If the mean of the data is 60, find the value of p

$\begin{matrix} C l a s s m a r k & f r e q u e n c y 25 - 35 & 12 35 - 45 & 16 45 - 55 & p 55 - 65 & 15 65 - 75 & 8 75 - 85 & 19 85 - 95 & 13 \end{matrix}$

If the mean of the data is 60, find the value of p

$\begin{matrix} C l a s s i n t e r v a l & f r e q u e n c y 25 - 35 & 12 35 - 45 & 16 45 - 55 & p 55 - 65 & 15 65 - 75 & 8 75 - 85 & 19 85 - 95 & 13 \end{matrix}$ [2 MARKS]

Q. If the mean of the following data is 20.2, then find the value of p.

$x_{i}$	10	15	20	25	30
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Variable (x_i)	10	15	20	25	30
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If the mean of the data is 60, find the value of p Class markfrequency25−351235−451645−55p55−651565−75875−851985−9513

The correct option is D 17 Class mark(xi)Frequency(fi)(xifi)3012360401664050p50p60159007085608019152090131170 Mean = ∑fixi∑fi ∑fi=83+p ∑fixi=5150+50p 5150+50p83+p=60 5150+50p=4980+60p 170=10p p=17

If the mean of the data is 60, find the value of p

$\begin{matrix} C l a s s m a r k & f r e q u e n c y 25 - 35 & 12 35 - 45 & 16 45 - 55 & p 55 - 65 & 15 65 - 75 & 8 75 - 85 & 19 85 - 95 & 13 \end{matrix}$