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