Arithmetic Mean

IMPORTANT

Arithmetic Mean: Overview

This topic covers concepts, such as, Mean of Data, Properties of Mean of Data & Range of Data etc.

Important Questions on Arithmetic Mean

MEDIUM
IMPORTANT

If we sit like this,

On the first bench6 students
On the second bench 6 students
On the third bench 6 students
On the fourth bench 3 students
On the fifth bench 4 students

Average number of students sitting on each bench is _____.

EASY
IMPORTANT

The following table shows the electricity (in units) used by 25 families of Eklara village in the month of May. How many families use 45 units or lesser units of electricity ?

Electricity used (Units) No. of families (Frequency)
30 7
45 2
60 8
75 5
90 3

MEDIUM
IMPORTANT

The average height of 5 pupils in a class is 140 cm. If the total height of 4 pupils is 590 cm, and the height of the fifth pupil is h cm, find h.

EASY
IMPORTANT

The weights of 8 new-born babies (in kg) in a hospital on a particular day are as follows:

2.1, 2.7, 2.5, 3.0, 2.4, 2.9, 2.8, 3.1

Determine the range.

EASY
IMPORTANT

Heights of 10 students were recorded and the mean was calculated as 155.3 cm. Later, it was found that the height of two students was wrongly copied as 163 and 167 instead of 133 and 137. Calculate the mean using correct values rounded off to 3 decimal places.

HARD
IMPORTANT

7 students of 5th class scored 65, 60, 85, 70, 35, 80, 95 in maths. Find the average of their marks.

MEDIUM
IMPORTANT

Find the average of first 5 even numbers.

MEDIUM
IMPORTANT

Find the average of first 5 odd numbers.

MEDIUM
IMPORTANT

Find the average of first 5 natural numbers.

EASY
IMPORTANT

Find the missing frequency (x) for the following distribution whose mean is 7.68 :

x

3

5

7

9

11

13

f

6

8

15

x

8

4

EASY
IMPORTANT

The mean of five numbers is 27. If one number is excluded, their mean is 25. Find the excluded number.

MEDIUM
IMPORTANT

The mean of the 25 scores was found to be 64. Later on it was discovered that two values which were 60 and 90 were wrongly copied as 16 and 59. Find the correct mean.

MEDIUM
IMPORTANT

There are 45 students in a class of which 15 are girls. The mean weight of all the girls is 40 kg  and that of all the boys is 47 kg . Find the mean weight in kg of the whole class rounded off to two decimal places.

MEDIUM
IMPORTANT

Find the missing frequency x for the following distribution whose mean is 7.68.

x 3 5 7 9 11 13
f 6 8 15 x 8 4

MEDIUM
IMPORTANT

The mean of 5 observations is 15. If the mean of first three observations is 14 and that of the last three is 17, find the third observation.

EASY
IMPORTANT

Find the mean of the following frequency distribution :

Weight (kg)

30

31

32

33

34

No. of students

8

10

15

8

9

MEDIUM
IMPORTANT

The mean of 5 observation is 15. If the mean of the first three observations is 14 and that of the last three is 17, find the third observation.

EASY
IMPORTANT

Find the mean of the following distribution :

x

10

30

50

70

89

f

7

8

10

15

10

MEDIUM
IMPORTANT

Riya walked 12 km on Sunday, 10 km on Monday, 12 km on Tuesday and 8 km on Wednesday. What was her average walking in km

MEDIUM
IMPORTANT

Karin secured 89 marks in maths, 72 in Social Science and 95 in Science. Find her average marks.