Mean of Grouped Data

IMPORTANT

Mean of Grouped Data: Overview

This Topic covers sub-topics such as Mean, Measures of Central Tendency, Mean for Grouped Data, Mean for Ungrouped Data, Step Deviation Method for Finding the Mean of Grouped Data and, Direct Method for Finding the Mean of Grouped Data

Important Questions on Mean of Grouped Data

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Centuries scored and number of cricketers in the world are given below:

No. of Centuries 3 5 8 10 15 24 30
No. of cricketers 62 52 34 24 12 10 6

Find the mean of the given data.

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Find the mean for the following data:

Class-interval Frequency
1-5 4
6-10 3
11-15 2
16-20 1
21-25 5

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If assumed mean A= 57.5fidi= -10 and fi= 80, then Mean = _____

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Find the value of x if mode is 6 and median is 7.

Class interval 0-5 5-10 10-15
Frequency x 2 4

 

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C.I 0-20 20-40 40-60 60-80 80-100 100-120
Frequency 5 8 f 12 7 8

The mean of the following frequency distribution is 62.8. the missing frequency f is:

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The mean of the following distribution is: 

xi 11 14 17 20
fi 3 6 8 7

 

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How to find mean?

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Mean of the data given in the table below is 6. Find the value of P.

Score 3 6 7 4 P+4
Frequency 5 2 7 2 6

 

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For some data. if Σfixi=75 and Σfi=12 then find x¯

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A company has four departments in which  24,15,10 and 31 employees are working. The average wages of employees in the above department isRs.60, Rs.80, Rs.75 and Rs.70 . What are the average wages of all the employees of the company?

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CI 0-8 8-16 16-24 24-32 32-40
f 6 f1 10 f2 9

 

Mean= 21.4N= 40. Find f1 and f2

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If the mean of x and 1x is M, the mean of x3 and 1x3 is:

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The following table gives frequency distribution of trees planted by different housing societies in a particular locality.
Find mean number of trees planted by the housing society by using the 'step deviation method'.

No. of trees 10-15 15-20 20-25 25-30 30-35 35-40
No. of Societies 2 7 9 8 6 4

 

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Calculate Arithmetic mean from following distribution:

Items 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40
Frequency 2 5 7 13 21 16 8 3

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Find the mean and mode of the following frequency distribution:

Class 0-6 6-12 12-18 18-24 24-30
Frequency 7 5 10 12 6

 

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Find f1 and f2 if mean is 91.

Class 0-30 30-60 60-90 90-120 120-150 150-180 Total
Frequency 12 21 f1 52 20 f2 150

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What is mean formula?

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Find the mean wages from the data given below

C.I 10-30 30-50 50-70 70-90 90-110 110-130
Frequency 5 8 12 20 3 2

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Mean of ten observations is 38. If one observation 56 is excluded, then find the new mean.

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Find mean:

Marks 20 22 25 30 35 39 45 50
Frequency 4 6 8 10 8 7 5 2