Find the mean for the following distribution: Numbers 60 61 62 63 64 65 66 Cumulative frequency 8 18 33 40 49 55 60

To find the mean, we construct the table under. Taking assumed mean a = 63 Numbers ( x i ) d i = x i - a ( a = 63 ) Cumulative frequency Frequency ( f i ) d i f i 60 - 3 8 8 - 24 61 - 2 18 10 - 20 62 - 1 33 15 - 15 63 0 40 7 0 64 1 49 9 9 65 2 55 6 12 66 3 60 5 15 Total 60 - 23 Mean = a + ∑ d i f i ∑ f i = 63 + ( - 23 ) 60 = 3757 60 ≈ 62 . 617 Hence, the obtained mean is 62 . 62 .

M L Aggarwal Solutions for Exercise 1: Exercise 21.1

Author:M L Aggarwal

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Exercise 1: Exercise 21.1

Attempt the practice questions from Exercise 1: Exercise 21.1 with hints and solutions to strengthen your understanding. Understanding ICSE Mathematics Class 10 solutions are prepared by Experienced Embibe Experts.

Questions from M L Aggarwal Solutions for Exercise 1: Exercise 21.1 with Hints & Solutions

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 4

In a class test, the mean of marks scored by a class of $40$ students was calculated as $18.2$ . Later on, it was detected that the marks of one student was wrongly copied as $21$ instead of $29$ . Find the correct mean.

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 5

Find the mean of $25$ numbers if the mean of $15$ of them is $18$ and the mean of the remaining numbers is $13$ .

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 6

Find the mean of the following distribution:

Number	$5$	$10$	$15$	$20$	$25$	$30$	$35$
Frequency	$1$	$2$	$5$	$6$	$3$	$2$	$1$

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 7

The contents of $100$ matchboxes were checked to determine the number of matches they contained:

No. of matches	$35$	$36$	$37$	$38$	$39$	$40$	$41$
No. of boxes	$6$	$10$	$18$	$25$	$21$	$12$	$8$

Calculate, correct to one decimal place, the mean number of matches per box.

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 7

The contents of $100$ matchboxes were checked to determine the number of matches they contained:

No. of matches	$35$	$36$	$37$	$38$	$39$	$40$	$41$
No. of boxes	$6$	$10$	$18$	$25$	$21$	$12$	$8$

Determine how many extra matches would have to be added to the total contents of the $100$ boxes to bring the mean up to exactly 39 matches.

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 8

Find the mean for the following distribution:

Numbers	$60$	$61$	$62$	$63$	$64$	$65$	$66$
Cumulative frequency	$8$	$18$	$33$	$40$	$49$	$55$	$60$

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 9

Category	$A$	$B$	$C$	$D$	$E$	$F$	$G$
Wages in $₹$ per day	$50$	$60$	$70$	$80$	$90$	$100$	$110$
No. of workers	$2$	$4$	$8$	$12$	$10$	$6$	$8$

Calculate the mean wage, correct to the nearest rupee.

MEDIUM

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 21 - Measures of Central Tendency>Exercise 21.1>Q 9

Category	$A$	$B$	$C$	$D$	$E$	$F$	$G$
Wages in $₹$ per day	$50$	$60$	$70$	$80$	$90$	$100$	$110$
No. of workers	$2$	$4$	$8$	$12$	$10$	$6$	$8$

If the number of workers in each category is doubled, what would be the new mean wage? correct to the nearest rupee.

M L Aggarwal Solutions for Exercise 1: Exercise 21.1

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Exercise 1: Exercise 21.1

Questions from M L Aggarwal Solutions for Exercise 1: Exercise 21.1 with Hints & Solutions

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