CBSE Class 10-Mathematics: Chapter – 14 Statistics Part 8 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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
ClassesFrequencyCumulative

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
MarksNo. 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
ClassesFrequency

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