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The Following Table Gives the Frequency Distribution of Trees Planted by Different Housing Societies in a Particular Locality - Algebra

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The following table gives the frequency distribution of trees planted by different Housing Societies in a particular locality:

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

Find the mean number of trees planted by Housing Societies by using ‘Assumed Means Method’

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Solution

By Assumed Mean Method 

No. of trees

            Class mark

                xi

              di=xi-A             No of housing
             societies(fi)
                fidi
10-15 12.5 -10 2 -20
15-20 17.5 -5 7 -35
20-25

`22.5toA`

0 9 0
25-30 27.5 5 8 40
30-35 32.5 10 6 60
35-40 37.5 15 4 60
             Total             -                    -  

` sumf_i=36`

   

`sumf_id_i=105`

`bar d=(sumf_id_i)/(sumf_i)=105/36=2.916`

 Mean = `bar x=A+bard` = 22.5 + 2.916 = 25.42

Therefore the mean number of trees planted by Housing Societies is 25.42.

 

 
Concept: Mean of Grouped Data
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