Worksheet on Finding the Quartiles and the Interquartile Range of Raw Data

In worksheet on finding the quartiles and the interquartile range of raw and arrayed data we will solve various types of practice questions on measures of central tendency. Here you will get 5 different types of questions on finding the quartiles and the interquartile range of raw and arrayed data.

1. The number of problems worked out by a student on seven days of a week were following.

5, 9, 15, 11, 13, 17, 7

Find the (i) lower quartile, (ii) upper quartile, (iii) interquartile range, (iv) semi-interquartile range, and (v) range for the distribution.

2. Find the (i) lower quartile, (ii) upper quartile, and (iii) interquartile range for the following data.

2, 1, 0, 3, 1, 2, 3, 4, 3, 5


3. Find for the given distribution.

(i) the lower quartile, (ii) the upper quartile, and (iii) the interquartile range.


Variate

1

2

3

4

5

6

7

8

Frequency

8

1

7

15

11

6

10

5


4. Find for the given distribution.

(i) the lower quartile, (ii) the upper quartile, and (iii) the interquartile range.

Hint: Arrange the variates in ascending order.


Variate

30

40

10

20

50

60

Frequency

11

30

15

8

12

9


5. Find for the given distribution.

(i) the lower quartile, (ii) the upper quartile, and (iii) the interquartile range.


Variate

5

10

20

30

50

60

80

Cumulative Frequency

7

12

21

35

42

50

56


Hint: Here \(\frac{3N}{4}\) = \(\frac{3 × 56}{4}\) = 42 = cumulative frequency of the variate 50. So, Q3 = \(\frac{50 + 60}{2}\).


Answers on Worksheet on Finding the quartiles and the interquartile range of raw and arrayed data are given below to check the exact answers of the questions. 

Worksheet on Finding the Quartiles and the Interquartile Range of Raw Data

Answers

1. (i) 7

(ii) 15

(iii) 8

(iv) 4

(v) 12


2. (i) 1

(ii) 3

(iii) 2

 

3. (i) 3

(ii) 7

(iii) 4

 

4. (i) 20

(ii) 40

(iii) 20


5. (i) 20

(ii) 55

(iii) 35







10th Grade Math

From Worksheet on Finding the Quartiles and the Interquartile Range of Raw Data to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

    Mar 28, 24 06:33 PM

    Multiplying by 3-Digit Number
    In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

    Read More

  2. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Mar 27, 24 05:21 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  3. Multiplication by 1-digit Number | Multiplying 1-Digit by 4-Digit

    Mar 26, 24 04:14 PM

    Multiplication by 1-digit Number
    How to Multiply by a 1-Digit Number We will learn how to multiply any number by a one-digit number. Multiply 2154 and 4. Solution: Step I: Arrange the numbers vertically. Step II: First multiply the d…

    Read More

  4. Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

    Mar 25, 24 05:36 PM

    Multiplying 3-Digit Number by 1-Digit Number
    Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb…

    Read More

  5. Multiplying 2-Digit Number by 1-Digit Number | Multiply Two-Digit Numb

    Mar 25, 24 04:18 PM

    Multiplying 2-Digit Number by 1-Digit Number
    Here we will learn multiplying 2-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. Examples of multiplying 2-digit number by

    Read More