CBSE Class 10-Mathematics: Chapter –14 Statistics Part 16

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Question 13:

Calculate the mean for the following distribution:

Calculate the mean for the following distribution

Class Interval

Frequency

2

Answer:

By Step deviation Method

Let assumed mean

Calculate the mean for the following distribution

Class interval

Mid-value

Frequency

Deviation

Product

Total

We know that Mean

Question 14:

The percentage of marks obtained by students in an examination are given below:

The percentage of marks obtained by 100 students in an examination are given below

Marks

Frequency

Determine the median percentage of marks.

Answer:

Determine the median percentage of marks

Class interval

Mid-value

Frequency

Deviation

Product

Total

We know that Mean

Therefore , which lies in the class

(The lower limit of the median class)

(The cumulative frequency of the class preceding the median class)

(The frequency of the Median class)

(The class size)

Median

So, the median percentage of marks is