NCERT Solutions For Class 10 Maths Chapter 14: Statistics

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NCERT Solutions for class 10 Maths Chapter 14 Statistics are provided in the article below. Some of the important topics of Statistics chapter include:

  1. Types of Data
  2. Mode of Grouped Data
  3. Mean of Grouped Data

Expected no of questions: 2 to 3 questions of total 5 marks

Download PDF: NCERT Solutions for Class 10 Mathematics Chapter 14 pdf


NCERT Solutions for Class 10 Mathematics Chapter 14

NCERT Solutions for Class 10 Maths Chapter 14 Statistics is given below.

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Class 10 Mathematics Chapter 14 Statistics – Important Topics

Study of collection, presentation, organisation and analysis of data is known as Statistics. 

Important formulas in Statistics include:

Mean x = ∑x / n

Median [if n is odd] = (n+1 /2)

Median [if n is even] = [(n/2)th + (n+1 /2)] / 2

Standard Deviation σ = √∑ni=1(xi-μμ)2 /n

Variance σ2 = ∑ni=1(xi-μμ)2 /n

  • Average of a given set of numbers is known as the mean.
  • Middle Value in a given set of data is known as median.
  • Most Occurring item in a given set of data is known as mode.
  • A measure which gives an approximate idea about data is known as variance. It is used to calculate standard deviation of a data set.
  • We can find how far a value is from the mean by the help of Standard Deviation. It can be found by taking the square root of Variance.

NCERT Solutions for Class 10 Maths Chapter 14 Exercises

NCERT Solutions for Class 10 Mathematics Chapter 14 Statistics Exercises are given below.

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CBSE X Related Questions

  • 1.
    In the adjoining figure, the slant height of the conical part is :

      • 4 cm
      • 7 cm
      • 5 cm
      • 25 cm

    • 2.
      The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

        • 0
        • 1
        • 3
        • 2

      • 3.
        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.


          • 4.
            Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.


              • 5.
                To protect plants from heat, a shed of iron rods covered with green cloth is made. The lower part of the shed is a cuboid mounted by semi-cylinder as shown in the figure. Find the area of the cloth required to make this shed, if dimensions of the cuboid are \(14 \text{ m} \times 25 \text{ m} \times 16 \text{ m}\).


                  • 6.
                    Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

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