CBSE Class 10-Mathematics: Chapter –14 Statistics Part 8

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Question 11:

Construct the cumulative frequency distribution of the following distribution:

Construct the cumulative frequency distribution

Class Interval

Frequency

Answer:

The required cumulative frequency distribution of the given distribution is given below:

The required cumulative frequency distribution

Classes

Frequency

Cumulative

Frequency

Question 12:

Calculate the median from the following data:

Calculate the median from the following data

Marks

No. of students

Answer:

We have

Calculate the median

Marks

No. of students (f)

C. F

Since which is in the class

Median class is

We know that median Me is given by

Here,

Hence, median

Question 13:

Find the mean of the following data:

Find the mean of the following data

Classes

Frequency

Answer:

We have

The mean of the following data

Classes

Frequency

Now Mean

Question 14:

A survey conducted on households in a locality by a group of students resulted in the following frequency table for the number of family members in a household. Find the mode.

Find the mean of the following data

Family size

No. of families

Answer:

Since the maximum frequency and it corresponds to the class

Modal class

Here,

We know that mode Mo is given by