Find the cumulative frequency for the class interval 65-70- Class-interval amp- Frequency- 50-55 amp- 5- 55-60 amp- 20- 60-65 amp- 10- 65-70 amp- 10- 70-75 amp- 9- 75-80 amp- 6- 80-85 amp- 6- 85-90 amp- 8- -35-25-45-15-

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Class Interval

Find the cumu...

Question

Find the cumulative frequency for the class interval 65-70 $\begin{matrix} Class interval & Frequency 50 - 55 & 5 55 - 60 & 20 60 - 65 & 10 65 - 70 & 10 70 - 75 & 9 75 - 80 & 6 80 - 85 & 6 85 - 90 & 8 \end{matrix}$

True

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False

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Solution

The correct option is B
False

Cumulative frequency of a class interval is the sum of the frequencies of all the classes up to this class interval

Hence for the given table the cumulative frequency is as follows

$\begin{matrix} Class interval & Cumulative Frequency & C.f 50 - 55 & 5 & 5 55 - 60 & 20 + 5 = 25 & 25 60 - 65 & 20 + 5 + 10 = 35 & 35 65 - 70 & 20 + 5 + 10 + 10 = 45 & 45 70 - 75 & 20 + 5 + 10 + 10 + 9 = 54 & 54 75 - 80 & 20 + 5 + 10 + 10 + 9 + 6 = 60 & 60 80 - 85 & 20 + 5 + 10 + 10 + 9 + 6 + 6 = 66 & 66 85 - 90 & 20 + 5 + 10 + 10 + 9 + 6 + 6 + 8 = 74 & 74 \end{matrix}$

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Similar questions

Q. i) Using step-deviation method, calculate the mean marks of the following distribution.
ii) State the modal class.

\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 50 - 55 & 5 55 - 60 & 20 60 - 65 & 10 65 - 70 & 10 70 - 75 & 9 75 - 80 & 6 80 - 85 & 12 85 - 90 & 8 \end{matrix}

[4 MARKS]

Find the median of the following data: $\begin{matrix} Class interval & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 Frequency & 12 & 16 & 17 & 15 & 8 & 19 & 13 \end{matrix}$

Find the mode of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 F r e q u e n c y & 12 & 16 & 17 & 15 & 8 & 19 & 13 \end{matrix}$

The following table shows the class mark and frequency. Convert the table in the class interval
$\begin{matrix} Class Mark & Frequency 55 & 8 65 & 6 75 & 18 85 & 25 95 & 12 \end{matrix}$

Find the mean of the following using step deviation method.

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Find the cumulative frequency for the class interval 65-70Class intervalFrequency50−55555−602060−651065−701070−75975−80680−85685−908

Find the cumulative frequency for the class interval 65-70 $\begin{matrix} Class interval & Frequency 50 - 55 & 5 55 - 60 & 20 60 - 65 & 10 65 - 70 & 10 70 - 75 & 9 75 - 80 & 6 80 - 85 & 6 85 - 90 & 8 \end{matrix}$