CBSE Class 10 Mathematics Statistics Worksheet Set A

Read and download free pdf of CBSE Class 10 Mathematics Statistics Worksheet Set A. Students and teachers of Class 10 Mathematics can get free printable Worksheets for Class 10 Mathematics Chapter 14 Statistics in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 10 students should practice questions and answers given here for Mathematics in Class 10 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 10 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 10 Mathematics Chapter 14 Statistics

Class 10 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 14 Statistics in Class 10. This test paper with questions and answers for Class 10 will be very useful for exams and help you to score good marks

Class 10 Mathematics Worksheet for Chapter 14 Statistics

 

 Statistics

Q.- Given below are the ages of 25 students of class IX in a school. Prepare a discrete frequency distribution. 
15, 16, 16, 14, 17, 17, 16, 15, 15, 16, 16, 17, 15, 16, 16, 14, 16, 15, 14, 15, 16, 16, 15, 14, 15.

 Sol. Frequency distribution of ages of 25 students

  statistics notes 1

Q.- Form a discrete frequency distribution from the following scores:- 
 
Sol. 15, 18, 16, 20, 25, 24, 25, 20, 16, 15, 18, 18, 16, 24, 15, 20, 28, 30, 27, 16, 24, 25, 20, 18, 28, 27, 25, 24, 24, 18, 18, 25, 20, 16, 15, 20, 27, 28, 29, 16.

statistics notes 2

Q.- The water tax bills (in rupees) of 30 houses in a locality are given below. Construct a grouped frequency distribution with class size of 10.
30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88,40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102,110, 88, 74, 112, 14, 34, 44.
 
Sol. Here the maximum and minimum values of the variate are 112 and 14 respectively.
∴Range = 112 – 14 = 98.
It is given that the class size is 10, and
Range/Class size = 98/10=9.8
So, we shoule have 10 classes each of size 10.
The minimum and maximum values of the variate are 14 and 112 respectively. So we have to make the classes in such a way that first class includes the minimum value and the last class includes the maximum value. If we take the first class as 14-24 it includes the minimum value 14. If the last class is taken as 104-114, then it includes the maximum value 112. Here, we form classes by exclusive method. In the class 14-24, 14 is included but 24 is excluded. Similarly, in other classes, the lower limit is included and the upper limit is excluded.
In the view of above discussion, we construct the frequency distribution table as follows:
statistics notes 3
 
Q.- The marks obtained by 40 students of class IX in an examination are given below :
18, 8, 12, 6, 8, 16, 12, 5, 23, 2,16, 23, 2, 10, 20, 12, 9, 7, 6, 5, 3, 5, 13, 21, 13, 15, 20, 24,1, 7, 21, 16, 13, 18, 23, 7, 3, 18, 17, 16. 
Present the data in the form of a frequency distribution using the same class size, one such class being 15-20 (where 20 is not included)
 
Sol. The minimum and maximum marks in the given raw data are 0 and 24 respectively. It is given that 15-20 is one of the class intervals and the class size is same. So, the classes of
equal size are
0-5, 5-10, 10-15, 15-20 and 20-25
Thus, the frequency distribution is as given under :
 
statistics notes 4

 

Q.- The class marks of a distribution are :
47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102
Determine the class size, the class limits and the true class limits.
 
Sol. Here the class marks are uniformly spaced.
So, the class size is the difference between any two consecutive class marks
∴ Class size = 52 – 47 = 5
We know that, if a is the class mark of a class interval and h is its class size, then the lower and upper limits of the class interval are 
a –h/2 and a +h/2 respectively. 
∴ Lower limit of first class interval 
= 47 – 5/2 = 44.5 
And, upper limit of first class interval 
= 47 + 5/2 = 49.5 
So, first class interval is 44.5 – 49.5 
Similarly, we obtain the other class limits as given under :

statistics notes 5

 

Since the classes are exclusive (continuous) so the true class limits are same as the class limits.
 
Q.- The class marks of a distribution are 26, 31, 36, 41, 46, 51, 56, 61, 66, 71. Find the true class limits.
 
Sol. Here the class marks are uniformly spaced.
So, the class size is the difference between any two consecutive class marks.
∴ Class size = 31 – 26 = 5.
If a is the class mark of a class interval of size h, then the lower and upper limits of the class interval are a – h/2 and a + h/2 respectively.
Here h = 5
∴ Lower limit of first class interval
= 26 – 5/2 = 23.5
∴ First class interval is 23.5 – 28.5.
Thus, the class intervals are:
23.5 – 28.5, 28.5 – 33.5, 33.5 – 38.5,38.5 – 43.5,43.5 – 48.5, 48.5 – 53.5 
Since the classs are formed by exclusive method. Therefore, these limits are true class limits.

 

Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 10 Mathematics Statistics Worksheet Set A

Chapter 01 Real Numbers
CBSE Class 10 Mathematics Real Numbers Worksheet Set D
CBSE Class 10 Mathematics Real Numbers Worksheet Set F
CBSE Class 10 Mathematics Real Numbers Worksheet Set G
CBSE Class 10 Mathematics Real Numbers Worksheet Set I
Chapter 02 Polynomials
CBSE Class 10 Mathematics Polynomials Worksheet Set B
CBSE Class 10 Mathematics Polynomials Worksheet Set C
CBSE Class 10 Mathematics Polynomials Worksheet Set D
CBSE Class 10 Mathematics Polynomials Worksheet Set E
CBSE Class 10 Mathematics Polynomials Worksheet Set F
CBSE Class 10 Mathematics Polynomials Worksheet Set G
CBSE Class 10 Mathematics Polynomials Worksheet Set H
CBSE Class 10 Mathematics Polynomials Worksheet Set I
CBSE Class 10 Mathematics Polynomials Worksheet Set J
Chapter 03 Linear Equations
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set B
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set H
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set M
Chapter 04 Quadratic Equation
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set A
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set C
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set D
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set E
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set F
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set I
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set J
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set K
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set L
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set M
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set N
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set O
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set P
Chapter 05 Arithmetic Progression
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set A
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set C
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set D
Chapter 06 Triangles
CBSE Class 10 Mathematics Triangles Worksheet Set A
CBSE Class 10 Mathematics Triangles Worksheet Set B
CBSE Class 10 Mathematics Triangles Worksheet Set C
CBSE Class 10 Mathematics Triangles Worksheet Set D
CBSE Class 10 Mathematics Triangles Worksheet Set E
CBSE Class 10 Mathematics Triangles Worksheet Set F
CBSE Class 10 Mathematics Triangles Worksheet Set G
CBSE Class 10 Mathematics Triangles Worksheet Set H
Chapter 07 Coordinate Geometry
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set D
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set E
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set F
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set G
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set H
Chapter 09 Applications of Trigonometry
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set A
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set B
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set C
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set D
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set E
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set F
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set G
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set I
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set J
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set O
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set P
CBSE Class 10 Mathematics Applications Of Trigonometry Worksheet Set R
Chapter 10 Circles
CBSE Class 10 Mathematics Circles Worksheet Set A
CBSE Class 10 Mathematics Circles Worksheet Set B
CBSE Class 10 Mathematics Circles Worksheet Set C
CBSE Class 10 Mathematics Circles Worksheet Set D
CBSE Class 10 Mathematics Circles Worksheet Set E
CBSE Class 10 Mathematics Circles Worksheet Set F
CBSE Class 10 Mathematics Circles Worksheet Set G
CBSE Class 10 Mathematics Circles Worksheet Set H
Chapter 12 Areas related to Circles
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set A
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set B
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set C
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set D
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set E
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set F
Chapter 13 Surface Area and Volume
CBSE Class 10 Mathematics Surface Area And Volume Worksheet
Chapter 14 Statistics
CBSE Class 10 Mathematics Statistics Worksheet Set A
CBSE Class 10 Mathematics Statistics Worksheet Set B
CBSE Class 10 Mathematics Statistics Worksheet Set C
CBSE Class 10 Mathematics Statistics Worksheet Set D
CBSE Class 10 Mathematics Statistics Worksheet Set E
CBSE Class 10 Mathematics Statistics Worksheet Set F
CBSE Class 10 Mathematics Statistics Worksheet Set G
CBSE Class 10 Mathematics Statistics Worksheet Set H
CBSE Class 10 Mathematics Statistics Worksheet Set I
CBSE Class 10 Mathematics Statistics Worksheet Set J
Chapter 15 Probability
CBSE Class 10 Mathematics Probability Worksheet Set A
CBSE Class 10 Mathematics Probability Worksheet Set C
CBSE Class 10 Mathematics Probability Worksheet Set G
Other Topics
CBSE Class 10 Mathematics Number Systems Worksheet

Worksheet for CBSE Mathematics Class 10 Chapter 14 Statistics

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