# 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:

Class Interval | |||||||

Frequency |

**Answer**:

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

Classes | Frequency | Cumulative Frequency |

**Question 12**:

Calculate the median from the following data:

Marks | |||||

No. of students |

**Answer**:

We have

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:

Classes | |||||

Frequency |

**Answer**:

We have

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.

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