NCERT Solutions For Class 11 Maths Chapter 15: Statistics

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NCERT Solutions For Class 11 Maths Chapter 15 Statistics are provided in the article. Statistics collects, analyzes, organizes, and interprets different types of data holding immense value in scientific, economic, social, as well as in industrial studies. Class 11 Maths Chapter 15 covers the following important concepts:

Mean of Grouped Data
Class Mark

Download: NCERT Solutions for Class 11 Mathematics Chapter 15 pdf

Class 11 Maths NCERT Solutions Chapter 15 Statistics

Class 11 Maths NCERT Solutions Chapter 15 Statistics are provided below:

NCERT Solutions

Also check: Concept Notes on Statistics

Important Topics: Class 11 Maths NCERT Solutions Chapter 15 Statistics

Important topics for Class 11 Maths NCERT Solutions Chapter 15 Statistics are elaborated below:

Measures of Dispersion

Different measures of dispersion including range, quartile deviation, mean deviation, and standard deviation are covered in this section. Measures of dispersion explains the relationship with measures of central tendency.

Example: The spread of data tells how well the mean represents the data. If the spread is large, then mean is not representative of data.

Range

Range gives the variability of scores using the maximum and minimum values in the set.

Example: In a cricket match, Batsman A range = 121 – 0 = 121 and Batsman B range = 52 – 22 = 30

Range A > Range B. So, the scores are spread in case of A whereas for B they are close to each other.

Mean Deviation

Concept of mean deviation can also be used by biologists in the comparison of different animal weights and decide what would be a healthy weight.

Variance and standard deviation

This section involves variance and standard deviation definition and formula on the discrete and continuous frequency distribution.

Analysis of Frequency Distributions

This section deals with the process of comparing the variability of two series having the same mean, coefficient of variation with few solved problems.

NCERT Solutions For Class 11 Maths Chapter 15 Exercises:

The detailed solutions for all the NCERT Solutions for Chapter 15 Statistics under different exercises are as follows:

Also check:

Important Chapter Related Topics
Mode of Grouped Data	Frequency Distribution Table	Median Formula
Difference between ln and log	Difference between mean and median	Difference between average and mean

Also check:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).
- \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
- \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
- \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
- \(p = 0, \, q = 0\)
View Solution
2.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.
3.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).
View Solution
4.
Differentiate \( \tan^{-1}\left( \frac{\sqrt{1 + x^2} + \sqrt{1 - x^2}}{\sqrt{1 + x^2} - \sqrt{1 - x^2}} \right) \) with respect to \( \cos^{-1}(x^2) \).
View Solution
5.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]
View Solution
6.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :

View All

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Relation Between Mean, Median, and Mode with Solved Examples

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NCERT Solutions For Class 11 Maths Chapter 15: Statistics

Class 11 Maths NCERT Solutions Chapter 15 Statistics

Important Topics: Class 11 Maths NCERT Solutions Chapter 15 Statistics

NCERT Solutions For Class 11 Maths Chapter 15 Exercises:

CBSE CLASS XII Related Questions

1.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

2.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

3.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

4.
Differentiate \( \tan^{-1}\left( \frac{\sqrt{1 + x^2} + \sqrt{1 - x^2}}{\sqrt{1 + x^2} - \sqrt{1 - x^2}} \right) \) with respect to \( \cos^{-1}(x^2) \).

5.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

6.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :

Similar Mathematics Concepts

Comments

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NCERT Solutions For Class 11 Maths Chapter 15: Statistics

Class 11 Maths NCERT Solutions Chapter 15 Statistics

Important Topics: Class 11 Maths NCERT Solutions Chapter 15 Statistics

NCERT Solutions For Class 11 Maths Chapter 15 Exercises:

CBSE CLASS XII Related Questions

1. Find: If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

2.A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

3.If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

4.Differentiate \( \tan^{-1}\left( \frac{\sqrt{1 + x^2} + \sqrt{1 - x^2}}{\sqrt{1 + x^2} - \sqrt{1 - x^2}} \right) \) with respect to \( \cos^{-1}(x^2) \).

5. Find: The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

6.At a birthday party, children are being served orange juice in conical cups, as shown in the figure. Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.On the basis of the above information, answer the following questions :

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

2.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

3.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

4.
Differentiate \( \tan^{-1}\left( \frac{\sqrt{1 + x^2} + \sqrt{1 - x^2}}{\sqrt{1 + x^2} - \sqrt{1 - x^2}} \right) \) with respect to \( \cos^{-1}(x^2) \).

5.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

6.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :