The daily pocket expenses of 200 students in a school are given below. Pocket expenses 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 Frequency 20 28 40 50 24 38 Construct a frequency polygon representing the above data.

To draw a frequency polygon, we required the mid-values of the class intervals of the given data. So modifying the given data, we get the below frequency distribution table. Pocket expenses Mid-values Frequency 0 0 0 - 5 5 + 0 2 = 2 . 5 20 5 - 10 7.5 28 10 - 15 12.5 40 15 - 20 17.5 50 20 - 25 22.5 24 25 - 30 27.5 38 30 - 35 32 . 5 0 Draw the frequency polygon by representing the mid-values on X-axis and frequency on Y-axis.

Draw the frequency polygon representing the following frequency distribution. Mid values 32 37 42 47 52 57 Frequency 12 16 20 8 10 4

A frequency polygon is a line graph of class frequency plotted against class midpoint. Here the scale on X-axis is 1 division = 5 units and for Y-axis is 1 division = 2 units .

Draw a frequency polygon for the following frequency distribution. Class Interval 1 - 10 11 - 20 21 - 30 31 - 40 41 - 50 51 - 60 Frequency 5 7 9 14 3 8

The given data is a discontinuous frequency distribution, which is converted to continuous frequency distribution as shown below. Subtract 0 . 5 from the lower limit and add 0 . 5 to upper limit of each interval. For the interval 10 - 14 , the new class interval is 1 - 0 . 5 = 0 . 5 10 + 0 . 5 = 10 . 5 Follow the similar method for other intervals as well. The new frequency distribution table is given below. Class interval class mark Frequency 0 . 5 - 10 . 5 5 . 5 5 10 . 5 - 19 . 5 15 . 5 7 20 . 5 - 30 . 5 25 . 5 9 30 . 5 - 40 . 5 35 . 5 14 40 . 5 - 50 . 5 45 . 5 3 50 . 5 - 60 . 5 55 . 5 8 60 . 5 - 70 . 5 65 . 5 0 Draw the frequency polygon by representing the class marks on X - axis and frequency on Y - axis

Draw a frequency polygon for the following data: Marks 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 No. of students 10 15 40 45 40 How many students got marks less than 60 ?

Given, Marks 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 No. of students 10 15 40 45 40 Given data is not continous. The given data is modified as shown below. Marks class mark Number of students 0 - 20 10 10 20 - 40 30 15 40 - 60 50 40 60 - 80 70 45 80 - 100 90 40 The number of students having marks less than 60 is 10 + 15 + 40 = 65 .

Draw a frequency polygon for the following data: Marks 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 No. of students 10 15 40 45 40 How many students got marks more than or equal to 40 ?

Given, Marks 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 No. of students 10 15 40 45 40 Given data is not continous. The given data is modified as shown below. Marks class mark Number of students 0 - 20 10 10 20 - 40 30 15 40 - 60 50 40 60 - 80 70 45 80 - 100 90 40 The number of students having marks more than or equal to 40 is 40 + 45 + 40 = 125 .

Draw a histogram and frequency polygon of the following: Class interval Frequency 10 - 20 4 20 - 30 5 30 - 40 9 40 - 50 12 50 - 60 7 60 - 70 3

The given table is modified as shown below. Class interval Class mark Frequency 0 - 10 5 0 10 - 20 15 4 20 - 30 25 5 30 - 40 35 9 40 - 50 45 12 50 - 60 55 7 60 - 70 65 3 70 - 80 75 0 The histogram and then frequency polygon are drawn by representing the class marks on X-axis and frequency on Y-axis.

The following table gives the distribution of marks of students Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Frequency 3 9 17 12 19 Represent the marks in a frequency polygon.

Given, Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Frequency 3 9 17 12 19 A frequency polygon is a line graph of class frequency plotted against class midpoint. The given data is modified by adding the class marks as shown below. Marks Class-marks Frequency 0 - 10 5 3 10 - 20 15 9 20 - 30 25 17 30 - 40 35 12 40 - 50 45 19

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MATHEMATICS>Chapter 14 - Statistics>EXERCISE

A K Upadhyay and S Upadhyay Solutions for Chapter: Statistics, Exercise 1: EXERCISE

Author:A K Upadhyay & S Upadhyay

A K Upadhyay Mathematics Solutions for Exercise - A K Upadhyay and S Upadhyay Solutions for Chapter: Statistics, Exercise 1: EXERCISE

Attempt the practice questions on Chapter 14: Statistics, Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. MATHEMATICS solutions are prepared by Experienced Embibe Experts.