What is the median class for the data- Class interval frequency- 0-10 7- 10-20 13- 20-30 14- 30-40 5- 40-50 11- - -2 MARKS-

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Standard X

Mathematics

Median for Grouped Data

What is the m...

Question

What is the median class for the data?

$\begin{matrix} C l a s s i n t e r v a l & f r e q u e n c y 0 - 10 & 7 10 - 20 & 13 20 - 30 & 14 30 - 40 & 5 40 - 50 & 11 \end{matrix}$ [2 MARKS]

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Solution

Concept: 2 Marks

Since there are a total of 50 observations, the median class is the one whose cumulative frequency is closest to and greater than 25.

$\begin{matrix} C l a s s i n t e r v a l & f r e q u e n c y & C F 0 - 10 & 7 & 7 10 - 20 & 13 & 20 20 - 30 & 14 & 34 30 - 40 & 5 & 39 40 - 50 & 11 & 50 \end{matrix}$

Thus, the class interval 20-30 is the required answer.

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What is the median class for the data? Class intervalfrequency0−10710−201320−301430−40540−5011 [2 MARKS]

Concept: 2 Marks Since there are a total of 50 observations, the median class is the one whose cumulative frequency is closest to and greater than 25. Class intervalfrequencyCF0−107710−20132020−30143430−4053940−501150 Thus, the class interval 20-30 is the required answer.

What is the median class for the data?

$\begin{matrix} C l a s s i n t e r v a l & f r e q u e n c y 0 - 10 & 7 10 - 20 & 13 20 - 30 & 14 30 - 40 & 5 40 - 50 & 11 \end{matrix}$ [2 MARKS]