Mean of Ungrouped Data

IMPORTANT

Mean of Ungrouped Data: Overview

This topic covers concepts such as Mean for Ungrouped Data, Mean for Grouped Data, Class Intervals for Grouped Data, Class Marks for Grouped Data, Upper and Lower Class Limits for Grouped Data, Direct Method for Finding the Mean of Grouped Data, etc.

Important Questions on Mean of Ungrouped Data

EASY
IMPORTANT

Find the mean of sec60°,cosec30° and tan45°

EASY
IMPORTANT

If the Arithmetic mean of (x-3), (x+2), (x+8), 2x and (x-3) is 8. Then find the value of x.

EASY
IMPORTANT

The height(in cm) of students in a class is given below:

150,151,152,155,164,166,155,156,151,151,157,159,161,168,169,162,163,157,154,

Find the class interval (in cm) with highest frequency?

EASY
IMPORTANT

The height(in cm) of students in a class is given below:

150,151,152,155,164,166,155,156,151,151,157,159,161,168,169,162,163,157,154,

Find the class interval with lowest frequency?

EASY
IMPORTANT

The height(in cm) of students in a class is given below:

150,151,152,155,164,166,155,156,151,151,157,159,161,168,169,162,163,157,154,

Arrange the data in a frequency distribution table and find the range

EASY
IMPORTANT

Find the class interval of given frequency distribution table:

Interval Frequency
0-10 8
10-20 18
20-30 12
30-40 4

 

MEDIUM
IMPORTANT

The following table shows the number of students and the time they utilised daily for their studies. Find the mean time (in hours), spent by students for their studies:

Time hours No. of students
0-2 8
2-4 14
4-6 18
6-8 10
8-10 10

MEDIUM
IMPORTANT

Find the mean age of 100 residents of a colony from the following data.

Age

(in years)

0-10 10-20 20-30 30-40 40-50 50-60 60-70
No. of
Persons
10 15 25 25 10 10 5

MEDIUM
IMPORTANT

The following table shows the number of students and the time they utilised daily for their studies. Find the mean time (in hours), spent by students for their studies:

Time hours No. of students
0-2 8
2-4 14
4-6 18
6-8 10
8-10 10

MEDIUM
IMPORTANT

Find the mean of the following frequency distribution:-

Class 0-10 10-20 20-30 30-40 40-50
fi 6 10 13 7 4

EASY
IMPORTANT

Define Arithmetic mean and give their two demerits.

HARD
IMPORTANT

Find the arithmetic mean from the following frequency distribution:

Weight (in kg) 40-44 44-48 48-52 52-56 56-60 60-64
No. of persons 5 6 5 9 3 2

MEDIUM
IMPORTANT

Find the arithmetic mean of the following distribution:

x 1 2 3 4 5 6
f 45 25 19 8 2 1

MEDIUM
IMPORTANT

Find the arithmetic mean of the following distribution:

x 19 21 23 25 27 29 31
f 13 15 16 18 16 15 13

MEDIUM
IMPORTANT

Find the arithmetic mean of the following distribution

x 10 15 17 20 22 30 35
f 5 10 2 8 3 6 6

EASY
IMPORTANT

Find the arithmetic mean of the following distribution

x 5 6 7 8 9
f 4 8 14 11 3

EASY
IMPORTANT

 Give difference between arithmetic mean and weighted arithmetic mean

EASY
IMPORTANT

Positional mean is:

HARD
IMPORTANT

In the following table, the age distribution of patients of a disease in a particular year is given. Find the average age (in years) per patient.

Age (in years) 5-14 15-24 25-34 35-44 45-54 55-64
Number of patients 6 11 21 23 14 5

HARD
IMPORTANT

Find the mean of the following distribution by taking assumed mean as 25.

Class interval 0-10 10-20 20-30 30-40 40-50
f 6 10 13 7 4