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: 

  1. Harmonic Mean Formula
  2. Confidence Interval
Download: NCERT Solutions for Class 9 Mathematics Chapter 14 pdf

NCERT Solutions for Class 9 Mathematics Chapter 14

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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:

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CBSE X Related Questions

  • 1.
    A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


      • 2.
        Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.


          • 3.
            Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.


              • 4.
                Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is

                  • $\frac{5}{12}$
                  • $\frac{5}{6}$
                  • $1$
                  • $0$

                • 5.
                  PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.


                    • 6.
                      In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

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