The given is the marks obtained by 70 boys in a class test. Marks 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 No. of boys 10 12 14 12 9 7 6 Calculate the mean by step-deviation method.

Given, marks of 70 boys Marks 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 No. of boys 10 12 14 12 9 7 6 Here the class width is h = 40 - 30 = 10 The table for the given data is : Marks Frequency f i Mid point x i u = x i - A h f i u i 30 - 40 10 35 - 3 - 30 40 - 50 12 45 - 2 - 24 50 - 60 14 55 - 1 - 14 60 - 70 12 65 ( A ) 0 0 70 - 80 9 75 1 9 80 - 90 7 85 2 14 90 - 100 6 95 3 18 ∑ f i = 10 + 12 + 14 + 12 + 9 + 7 + 6 = 70 ∑ f i u i = - 30 - 24 - 14 + 0 + 9 + 14 + 18 = - 27 Assumed mean A = 65 Mean = A + ∑ f i u i ∑ f i × h = 65 - 27 70 × 10 Mean = 65 - 27 7 = 65 - 3 . 857 = 61 . 14 Hence, mean is 61 . 14

Jitender Gupta and Divya Malik Solutions for Exercise 5: CHAPTER EXERCISE

Author:Jitender Gupta & Divya Malik

Jitender Gupta Mathematics Solutions for Exercise - Jitender Gupta and Divya Malik Solutions for Exercise 5: CHAPTER EXERCISE

Attempt the practice questions from Exercise 5: CHAPTER EXERCISE with hints and solutions to strengthen your understanding. All In One ICSE Mathematics Class 10 solutions are prepared by Experienced Embibe Experts.

Questions from Jitender Gupta and Divya Malik Solutions for Exercise 5: CHAPTER EXERCISE with Hints & Solutions

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 7

The given is the marks obtained by $70$ boys in a class test.

Marks	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
No. of boys	$10$	$12$	$14$	$12$	$9$	$7$	$6$

Calculate the mean by step-deviation method.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 13

Find the mean marks of students from the given cumulative frequency distribution.

Marks	Number of Students	Marks	Number of Students
$0 and above$	$80$	$60 and above$	$28$
$18$	$77$	$70 and above$	$16$
$20 and above$	$\sum_{} f_{i} u_{i} = - 30 - 24 - 14 + 0 + 9 + 14 + 18 = - 27$	$80 and above$	$10$
$30 and above$	$65$	$90 and above$	$8$
$= A + (\frac{\sum_{} f_{i} u_{i}}{\sum_{} f_{i}}) \times h = 65 - (\frac{27}{70}) \times 10$	$55$	$100 and above$	$0$
$50 and above$	$43$

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 14

From the given data $25, 10, 40, 88, 45, 60, 77, 36, 18, 95, 56, 65, 70, 38 and 83$ . Find median.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 14

From the given data $25, 10, 40, 88, 45, 60, 77, 36, 18, 95, 56, 65, 70, 38 and 83$ . Find upper quartile.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 14

From the given data $25, 10, 40, 88, 45, 60, 77, 36, 18, 95, 56, 65, 70, 38 and 83$ . Find interquartile.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 16

A boy scored the given marks in various class tests during a term, each test being marked out of $20$ .

$15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16$

What are his modal marks?

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 16

A boy scored the given marks in various class tests during a term, each test being marked out of $20$ .

$15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16$

What are his median marks?

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 20 - Statistics>CHAPTER EXERCISE>Q 16

A boy scored the given marks in various class tests during a term, each test being marked out of $20$ .

$15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16$

What are his mean marks?

Jitender Gupta and Divya Malik Solutions for Exercise 5: CHAPTER EXERCISE

Jitender Gupta Mathematics Solutions for Exercise - Jitender Gupta and Divya Malik Solutions for Exercise 5: CHAPTER EXERCISE

Questions from Jitender Gupta and Divya Malik Solutions for Exercise 5: CHAPTER EXERCISE with Hints & Solutions

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