NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 11 |

Subject |
Maths |

Chapter |
Chapter 15 |

Chapter Name |
Statistics |

Exercise |
Ex 15.2 |

Number of Questions Solved |
10 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2

**Find the mean and variance for each of the data in Exercises 1 to 5.**

**Question 1.**

6, 7, 10, 12, 13, 4, 8, 12

**Solution:**

Here x_{i} = 6, 7, 10, 12, 13, 4, 8, 12

∴ Σx_{i} = 6 + 7 + 10 + 12 + 13 + 4 + 8 + 12 = 72

n = 8

**Question 2.**

First n natural numbers

**Solution:**

Here x_{i} = 1, 2, 3, 4, ……….n

**Question 3.**

First 10 multiples of 3

**Solution:**

Here x_{i} = 3, 6, 9, 12, 15, 18, 21, 27, 30,

Σx_{i} = 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 = 165

n = 10

**Question 4.**

**Solution:**

**Question 5.**

**Solution:**

**Question 6.**

Find the mean and standard deviation using short-cut method

**Solution:**

**Find the mean and variance for the following frequency distributions in Exercises 7 and 8.**

**Question 7.**

**Solution:**

**Question 8.**

**Solution:**

**Question 9.**

Find the mean, variance and standard deviation using short-cut method.

**Solution:**

**Question 10.**

The diameters of circles (in mm) drawn in a design are given below:

Calculate the standard deviation and mean diameter of the circles.

[Hint: First make the data continuous by making the classes as 32.5 – 36.5, 36.5 – 40.5, 40.5 – 44.5, 44.5 – 48.5, 48.5 – 52.5 and then proceed.]

**Solution:**

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