# CBSE Class 10-Mathematics: Chapter – 14 Statistics Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 1:

Marks obtained by students are given below

 Marks No. of Students

 Marks No. of students

The corresponding value of marks for

Question 2:

The sum of deviations of a set of values , measured from is and the sum of deviations of the values from is . Find the value of and the mean

We have

Subtracting (2) from (1) , we get

we get

Mean

Hence and mean

Question 3:

Prove that

To prove algebraic sum of deviation from mean is zero

We have,

Now

Hence,

Question 4:

Compute the median from the following data

 Mid Value Frequency

Here, we are given the mid values. So, we should first find the upper and lower limits of the various classes. The difference between two consecutive values is

Lower limit of a class Midvalue

Upper limit

Calculate of Median

 Mid-value Class Groups Frequency Cumulative Frequency

We have

The cumulative frequency first greater than N i.e.. is and the corresponding class is is the median class

Now,

Median

Median

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