# 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

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.

#### 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