If the mean of the data is 60- find the value of p - Class interval frequency- 25-35 12- 35-45 16- 45-55 p- 55-65 15- 65-75 8- 75-85 19- 85-95 13- - -2 MARKS-

Concept: 1 Mark Application: 1 Mark [ Class Interval amp; Frequency amp; Cumulative Frequency; 30 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Direct Method

If the mean o...

Question

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

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

Open in App

Solution

Concept: 1 Mark
Application: 1 Mark

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

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

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

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

$5150 + 50 p = 4980 + 60 p$

$170 = 10 p$

$p = 17$

Suggest Corrections

Similar questions

Q. 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}

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

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

Find the mean of the given data.

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 0 - 100 & 7 100 - 200 & 11 200 - 300 & 15 300 - 400 & 9 400 - 500 & 8 \end{matrix}$ [3 MARKS]

Calculate the mean of the following data by all three methods, and compare the results.

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y 110 - 110 & 8 110 - 120 & 9 120 - 130 & 11 130 - 140 & 12 140 - 150 & 10 \end{matrix}$ [4 MARKS]

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 0 - 10 & 6 10 - 20 & 7 20 - 30 & 11 30 - 40 & 9 40 - 50 & 7 \end{matrix}$ [3 MARKS]

Join BYJU'S Learning Program

If the mean of the data is 60, find the value of p Class intervalfrequency25−351235−451645−55p55−651565−75875−851985−9513 [2 MARKS]

Concept: 1 Mark Application: 1 Mark Class IntervalFrequencyCumulative Frequency3012360401664050p50p60159007085608019152090131170 ∑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

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