Maharashtra State BoardSSC (English Medium) 8th Standard
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The Following Table Shows the Electricity (In Units) Used by 25 Families of Eklara Village in a Month of May. Complete the Table and Answer the Following Questions. - Mathematics

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Sum

The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.

Electricity used
(units) `x_i`
No. of Families
(frequency) `f_i`
`f_ix_i`
30 7 _________
45 2 __________
60 8 __________
75 5 __________
90 3 __________
  N = _________ `sum f_ix_i` =______

(1) How many families use 45 units electricity?
(2) State the score, the frequency of which is 5.
(3) Find N, and `sum f_ix_i`
(4) Find the mean of electricity used by each family in the month of May.

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Solution

The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.

Electricity used
(units) `x_i`
No. of Families
(frequency) `f_i` 
`f_ix_i`
30 7 30 × 7 =  210 
45 2 45 × 2 =  90 
60 8 60 × 8 =  480 
75 5 75 × 5 =  375 
90 3  90 × 3 =  270 
  N =  25  `sum f_ix_i` =  1425 


(1) 2 families use 45 units electricity.

(2) The score with a frequency of 5 is 75.

(3) N = 25, and `sum f_ix_i`= 1425

(4) Since,

          = `1425/25`

          = 57

So, the mean of electricity used by each family in the month of May is 57.

Concept: Arithmetic Mean - Raw Data
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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 11 Statistics
Practice Set 11.1 | Q 2 | Page 70
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