The median for the data is3 - 5 - 16 - 14 - 13 - 7 Whline lendarray

The correct option is C 102.86 [ Class Interval amp; Frequency amp; Cumulative Frequency; 60 70 am ...

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Standard VIII

Mathematics

Median for a Grouped Data

The median fo...

Question

The median for the data is

$\begin{matrix} IQ & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 & 100 - 110 & 110 - 120 & 120 - 130 No. of pupils & 2 & 3 & 5 & 16 & 14 & 13 & 7 \end{matrix}$

102.86

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98.46

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97.47

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103.26

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Solution

The correct option is A
102.86

$\begin{matrix} Class Interval & Frequency & Cumulative Frequency 60 - 70 & 2 & 2 70 - 80 & 3 & 5 80 - 90 & 5 & 10 90 - 100 & 16 & 26 100 - 110 & 14 & 40 110 - 120 & 13 & 53 120 - 130 & 7 & 60 \end{matrix}$ $\frac{n}{2} = 30$ $∴$ the median class is 100-110 Median $= l + (\frac{\frac{n}{2} - c f}{f})$ $\times h$ $= 100 + \frac{30 - 26}{14}$ $\times 10 = 102.86$

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Similar questions

Find the median of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 F r e q u e n c y & 10 & 13 & 8 & 7 & 12 \end{matrix}$

The median for the data is :

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The median for the data is IQ60−7070−8080−9090−100100−110110−120120−130No. of pupils2351614137

The correct option is A 102.86 Class IntervalFrequencyCumulative Frequency60−702270−803580−9051090−1001626100−1101440110−1201353120−130760 n2=30 ∴ the median class is 100-110 Median =l+(n2−cff)×h =100+30−2614×10=102.86

The median for the data is

$\begin{matrix} IQ & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 & 100 - 110 & 110 - 120 & 120 - 130 No. of pupils & 2 & 3 & 5 & 16 & 14 & 13 & 7 \end{matrix}$