# NCERT Class 10 Chapter 14 Statistics CBSE Board Sample Problems Multiple Choice Question (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Question

**While computing mean of grouped data, we assume that the frequencies are**

1. Centered the lower limits of

2. Evenly distributed over all the class

3. Centered at the class marks

4. Centered the upper limits of the class

## Question

**Measure of central tendency is represented by the abscissa of the point where the ‘less than ogive’ and ‘more than ogive’ intersect, is**

1. Mean

2. Median

3. Mode

4. None of these

## Question

**The wickets taken by a bowler in lo cricket matches are 2, 6, 4, 5, 0, 3, 1,3, 2,3. The mode of the data is**

1.1

2.2

3.4

4.3

## Question

**The percentage of marks obtained by loo students in an examination are as follows**:

Marks | 130 - 135 | 135 - 140 | 140 - 145 | 145 - 150 | 150 - 155 | 155 - 160 | 160 - 165 |

Frequency | 10 | 15 | 18 | 22 | 23 | 8 | 4 |

The cumulative frequency of the class interval 150 - 155 is

- 90
- 80
- 100
- 88

## Question

**Consider the following frequency distribution of the heights of 60 students of a class**

Height (in cm) | 150 - 155 | 155 - 160 | 160 - 165 | 165 - 170 | 170 - 175 | 175 - 180 |

No of students | 15 | 13 | 10 | 8 | 9 | 5 |

## Question

**The upper limit of the median class in the given data is**

1.165

2.155

3.160

4.170

## Question

**The empirical relationship between the three measures of central tendency is**

1.2Mean = 3Median- Mode

2.2Mode = 3Median- Mean

3. Mode = 2Mean- 3Median

4.3Median = 2Mode + Mean

## Question

**If the ‘less than’ and the ‘more than’ o gives intersect at the point (27,34) , then find the median of the distribution and also find the total number of observations**.

- 27,34
- 54,34
- 54,68
- 27,68

## Question

**If the mode of a data is 45 and mean is 27, then the median is**

1.30

2.27

3.33

4. None of the above

## Question

**A set of numbers consists of three 4s, two 5s, six 6s eight 8s and seven 10s**.

What is the mode of this collection of numbers?

1.10

2.7. 5

3.7

4.8

## Question

**What measure of central tendency is represented by the abscissa of the point where ‘less than ogive’ and the ‘more than ogive’ intersect?**

1. Mean

2. Median

3. Mode

4. None of the above

## Question

**Which measure of central tendency is given by the x coordinate of the point of intersection of the ″ more than ogive ″ and ″ less than ogive ′ ?**

1. Mean

2. Mode

3. Median

4. Range