CBSE Class 10-Mathematics: Chapter –14 Statistics Part 6

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Question 2:

For the following grouped frequency distribution, find the mode.

Find the mode

Class

Answer:

Since the maximum frequency and it corresponds to the class

Modal class

Question 3:

Construct the cumulative frequency distribution of the following distribution:

Construct the cumulative frequency distribution

Class

Answer:

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

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

Class

Frequency

Cumulative Frequency

Question 4:

The median and mode of a distribution are and respectively, find its mean.

Answer:

We know that Mean Mode (Median-Mode)

Question 15:

The marks distribution of students in a mathematics examination are given below

The marks distribution of 30 students in a mathematics examination

Class Interval

Answer:

Since the maximum frequency and it corresponds to the class .

The modal class

Here,

We know that mode Mo is given by

Thus, Mode marks

Question 6:

Find the mode of this data.

Construct the cumulative frequency distribution of following distribution:

Construct the cumulative frequency distribution

Marks

Answer:

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

The required cumulative frequency distribution

Marks

No. of Students

Cumulative Frequency