NCERT Solutions for Class 9 Maths Chapter 14: Statistics

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The NCERT Solutions for class 9 Maths Chapter 14 Statistics are provided in the article below. Statistics is a mathematical body of science that pertains to the collection, analysis, interpretation and presentation of data. It also includes the mean, median and mode of ungrouped data.

Class 9 Maths Chapter 14 Statistics belong to Unit 6 Statistics and Probability which has a weightage of 6 marks in the Class 9 Maths Examination. Class 9 Mathematics Chapter 14 has the following important concepts:

Download: NCERT Solutions for Class 9 Mathematics Chapter 14 pdf

NCERT Solutions for Class 9 Mathematics Chapter 14

Important Topics in Class 9 Maths Chapter 14 Statistics

Important Topics in Class 9 Maths Chapter 14 Statistics are elaborated below:

Harmonic Mean Formula

Harmonic mean formula helps determine the multiplicative or divisor relationship between fractions without disrupting the common denominators. It is a measure of central tendency and comes under Pythagorean mean.

Example: List the steps to calculate Harmonic Mean Formula.

Solution: The steps to calculate Harmonic Mean formula for a given set of values are:

Step 1: First consider the reciprocal of every term in the given data set.
Step 2: Now, assume the count of the total number of terms whose harmonic mean needs to be calculated as ‘n’.
Step 3: Start adding the reciprocal terms.
Step 4: Finally, divide the value acquired in the 2nd step by the value acquired from the 3rd step.

Confidence Interval

The confidence level in statistics usually exhibits a frequency of confidence intervals that acomprises the true value of an unknown parameter.

Formula of Confidence Interval (CI) = \(\bar{X} ± Zα/2 × [ σ / √ n ]\)

NCERT Solutions for Class 9 Maths Chapter 14 Exercises

The detailed solutions for all the NCERT Solutions for Statistics under different exercises are:

Also Read:

Chapter Related Topics
Bar Graph	Histograms	Measures of Central Tendency

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CBSE X Related Questions

1.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.
View Solution
2.
If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).
View Solution
3.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.
View Solution
4.
A circle centered at (2, 1) passes through the points A(5, 6) and B(-3, K). Find the value(s) of K. Hence find length of chord AB.
View Solution
5.
The HCF of 960 and 432 is :
- 48
- 54
- 72
- 36
View Solution
6.
If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is
- 3
- –3
- –4
- \(\pm 3\)
View Solution

View All

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NCERT Solutions for Class 9 Maths Chapter 14: Statistics

NCERT Solutions for Class 9 Mathematics Chapter 14

Important Topics in Class 9 Maths Chapter 14 Statistics

Harmonic Mean Formula

Confidence Interval

NCERT Solutions for Class 9 Maths Chapter 14 Exercises

CBSE X Related Questions

1.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

2.
If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

3.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

4.
A circle centered at (2, 1) passes through the points A(5, 6) and B(-3, K). Find the value(s) of K. Hence find length of chord AB.

5.
The HCF of 960 and 432 is :

6.
If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

Similar Mathematics Concepts

Comments

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NCERT Solutions for Class 9 Maths Chapter 14: Statistics

NCERT Solutions for Class 9 Mathematics Chapter 14

Important Topics in Class 9 Maths Chapter 14 Statistics

Harmonic Mean Formula

Confidence Interval

NCERT Solutions for Class 9 Maths Chapter 14 Exercises

CBSE X Related Questions

1.In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

2.If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

3.A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

4.A circle centered at (2, 1) passes through the points A(5, 6) and B(-3, K). Find the value(s) of K. Hence find length of chord AB.

5.The HCF of 960 and 432 is :

6.If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

2.
If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

3.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

4.
A circle centered at (2, 1) passes through the points A(5, 6) and B(-3, K). Find the value(s) of K. Hence find length of chord AB.

5.
The HCF of 960 and 432 is :

6.
If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is