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.
If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is
- \(\frac{7}{2}\)
- \(\frac{6}{7}\)
- \(\frac{-7}{6}\)
- \(\frac{7}{6}\)
View Solution
2.
For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is
- \(0\)
- \(\frac{80}{81}\)
- \(1\)
- \(\frac{82}{80}\)
View Solution
3.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are
- \((x + 2), (x - 5)\)
- \((x + 5), (x - 2)\)
- \((x + 1), (x - 5)\)
- \((x - 1), (x + 2)\)
View Solution
4.
Which of the following graphs represents a polynomial with both zeroes being positive?
View Solution
5.
The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is
- 2
- \(-6\)
- \(-2\)
- 6
View Solution
6.
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is
- 34
- 43
- 38.5
- 41.5
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.
If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

2.
For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

3.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

4.
Which of the following graphs represents a polynomial with both zeroes being positive?

5.
The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

6.
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode 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.If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

2.For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

3.The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

4.Which of the following graphs represents a polynomial with both zeroes being positive?

5.The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

6.Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

2.
For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

3.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

4.
Which of the following graphs represents a polynomial with both zeroes being positive?

5.
The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

6.
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is