# NCERT Class 10 Chapter 14 Statistics CBSE Board Sample Problems Very Short Answer

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## Question

**Given below is a cumulative frequency distribution of “less than type”.**

Marks obtained | Less than 20 | Less than 30 | Less than 40 | Less than 50 |

No. of students cumulative frequency | 8 | 13 | 19 | 24 |

Change the above data into a continuous grouped frequency distribution

### Solution

Class interval | Number of students () |

10-20 20-30 30-40 40-50 | 8 5 6 5 |

## Question

**In a frequency distribution, if a = assumed mean = 55,** **, h = 10 and** **, then find the mean of the distribution**

### Solution

Mean

## Question

**Find mode using an empirical relation when it is given that mean and median are 10.5 and 9.6 respectively.**

### Solution

Mean and median

Empirical relation: 3 Median

Mode

## Question

**A class teacher has the following absentee record of 40 students of a class for the whole term.**

No. of days | 0-6 | 6-10 | 10-14 | 14-20 | 20-28 | 28-38 | 38-40 |

No. of students | 11 | 10 | 7 | 4 | 4 | 3 | 1 |

Write the above distribution as less than type cumulative frequency distribution.

### Solution

No. of days | Less than 6 | Less than 10 | Less than 14 | Less than 20 | Less than 28 | Less than 38 | Less than 40 |

No. of students | 11 | 21 | 28 | 32 | 36 | 39 | 40 |

## Question

**Following is a cumulative frequency curve for the marks obtained by 40 students as shown in figure. Find the median marks obtained by the student.**

### Solution

40

## Question

**In a frequency distribution mode is 7.88, mean is 8.32 find the median.**

### Solution

Mode = 3 median mean

Median

median

= median

Median = 8.17

## Question

**The class in which mode lies is called as**

### Solution

Modal class

## Question

**If mean = 31.04 and median = 30.625, then find the mode.**

### Solution

3median mode + 2 mean

Mode

Mode

## Question

**The mean and median of a distribution are both equal to 635.97. Find the mode**

### Solution

Mode = 635.97