Question 11
Construct a frequency distribution table from the following data
$\begin{matrix} M a r k s (o u t o f 90) & N u m b e r o f s t u d e n t s M o r e t h a n o r e q u a l t o 80 & 4 M o r e t h a n o r e q u a l t o 70 & 6 M o r e t h a n o r e q u a l t o 60 & 11 M o r e t h a n o r e q u a l t o 50 & 17 M o r e t h a n o r e q u a l t o 40 & 23 M o r e t h a n o r e q u a l t o 30 & 27 M o r e t h a n o r e q u a l t o 20 & 30 M o r e t h a n o r e q u a l t o 10 & 32 M o r e t h a n o r e q u a l t o 0 & 34 \end{matrix}$

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Solution

Here, we observe that, all 34 students have socred marks more than or equal to 0. Since, 32 students have scored marks more than or equal to 10. So, 34 - 32 = 2 students lies in the interval 0-10 and so on.
Hence, the frequency distribution table.
$\begin{matrix} C l a s s i n t e r v a l & N u m b e r o f s t u d e n t s 0 - 10 & 34 - 32 = 2 10 - 20 & 32 - 30 = 2 20 - 30 & 30 - 27 = 3 30 - 40 & 27 - 23 = 4 40 - 50 & 23 - 17 = 6 50 - 60 & 17 - 11 = 6 60 - 70 & 11 - 6 = 5 70 - 80 & 6 - 4 = 2 80 - 90 & 4 \end{matrix}$

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Similar questions

\begin{matrix} M a r k s o b t a i n e d & N u m b e r o f s t u d e n t s M o r e t h a n o r e q u a l t o 0 & 63 M o r e t h a n o r e q u a l t o 10 & 58 M o r e t h a n o r e q u a l t o 20 & 55 M o r e t h a n o r e q u a l t o 30 & 51 M o r e t h a n o r e q u a l t o 40 & 48 M o r e t h a n o r e q u a l t o 50 & 42 \end{matrix}

\begin{matrix} M a r k s (o u t o f 90) & N u m b e r o f s t u d e n t s M o r e t h a n o r e q u a l t o 80 & 4 M o r e t h a n o r e q u a l t o 70 & 6 M o r e t h a n o r e q u a l t o 60 & 11 M o r e t h a n o r e q u a l t o 50 & 17 M o r e t h a n o r e q u a l t o 40 & 23 M o r e t h a n o r e q u a l t o 30 & 27 M o r e t h a n o r e q u a l t o 20 & 30 M o r e t h a n o r e q u a l t o 10 & 32 M o r e t h a n o r e q u a l t o 0 & 34 \end{matrix}

30 - 40

Profit (in lakhs in Rs)	Number of shops (frequency)
More than or equal to 5 More than or equal to 10 More than or equal to 15 More than or equal to 20 More than or equal to 25 More than or equal to 30 More than or equal to 35	30 28 16 14 10 7 3

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