The below table shows the profit made by a group of shops in mall- Then the median is Profit per shop less than - 10 20 30 40 50 60 No- of shops 12 30 57 77 94 100

The correct option is A 27.4 Cumulative frequencies are given by [ C.I amp; CF amp;Frequency; 0 10 amp;12 amp;12; ...

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Standard IX

Mathematics

Median of Frequency Distribution

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Question

The below table shows the profit made by a group of shops in mall. Then the median is

$\begin{matrix} P r o f i t p e r s h o p l e s s t h a n (%) & 10 & 20 & 30 & 40 & 50 & 60 N o . o f s h o p s & 12 & 30 & 57 & 77 & 94 & 100 \end{matrix}$

27.4

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31.2

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26.8

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23.7

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Solution

The correct option is A
27.4

Cumulative frequencies are given by

$\begin{matrix} C . I & C F & F r e q u e n c y 0 - 10 & 12 & 12 10 - 20 & 30 & 18 20 - 30 & 57 & 27 30 - 40 & 77 & 20 40 - 50 & 94 & 17 50 - 60 & 100 & 6 T o t a l & 100 \end{matrix}$

$\frac{n}{2} = \frac{100}{2} = 50$

CF nearest to 50 and greater than 50 is 57

$∴ M e d i a n = l + (\frac{\frac{n}{2} - c f}{f}) \times h M e d i a n = 20 + (\frac{50 - 30}{27}) \times 10$

Median = 27.4

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Similar questions

The below table shows that profit made by a group of shops in mall. Then the median is

$\begin{matrix} Profit per shop less than (%) & 10 & 20 & 30 & 40 & 50 & 60 No. of shops & 12 & 30 & 57 & 77 & 94 & 100 \end{matrix}$

The following table shows the profit made by a group of shops in a mall. The median of the data is _____.

$\begin{matrix} Profit per shop less than (%) & 10 & 20 & 30 & 40 & 50 & 60 No. of shops & 12 & 30 & 57 & 77 & 94 & 100 \end{matrix}$

The below table shows that profit made by a group of shops in mall. Then the median is

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If the arithmetic of the data given below is 28, find (a) the missing frequency and (b) the median of the series

$\begin{matrix} Profit per Retail shop (in Rs) & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Number of Retail shops & 12 & 18 & 27 & - - & 17 & 6 \end{matrix}$

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The below table shows the profit made by a group of shops in mall. Then the median is Profit per shop less than (%)102030405060No. of shops1230577794100

The correct option is A 27.4 Cumulative frequencies are given by C.ICFFrequency0−10121210−20301820−30572730−40772040−50941750−601006Total100 n2=1002=50 CF nearest to 50 and greater than 50 is 57 ∴ Median=l+(n2−cff)×hMedian=20+(50−3027)×10 Median = 27.4

The below table shows the profit made by a group of shops in mall. Then the median is

$\begin{matrix} P r o f i t p e r s h o p l e s s t h a n (%) & 10 & 20 & 30 & 40 & 50 & 60 N o . o f s h o p s & 12 & 30 & 57 & 77 & 94 & 100 \end{matrix}$