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+2 votes
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in Statistics by (29.8k points)
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Electricity energy consumption is the form of energy consumption that uses electric energy. Global electricity consumption continues to increase faster than world population, leading to an increase in the average amount of electricity consumed per person (per capita electricity consumption).

A survey is conducted for 56 families of a Colony A. The following tables gives the weekly consumption of electricity of these families.

The similar survey is conducted for 80 families of Colony B and the data is recorded as below:

Refer to data received from Colony A

1. The median weekly consumption is

a) 12 units

b) 16 units

c) 20 units

d) None of these

2. The mean weekly consumption is

a) 19.64 units

b) 22.5 units

c) 26 units

d) None of these

3. The modal class of the above data is I

a) 0-10

b) 10-20

c) 20-30

d) 30-40

Refer to data received from Colony B

4. The modal weekly consumption is

a) 38.2 units

b) 43.6 units

c) 26 units

d) 32 units

5. The mean weekly consumption is

a) 15.65 units

b) 32.8 units

c) 38.75 units

d) 48 units

2 Answers

+1 vote
by (46.5k points)
selected by
 
Best answer

1. c) 20 units

Colony A

∴ 10 -20 is the median class

And,

I = lower limit of median class = 10

h = class-interval = 10

cf = cumulative frequency of the class before median class

= 16

f = frequency of the median class

= 12

Putting values in formula

2. a) 19.64 units

Colony A

3. c) 20-30 units

Colony A

Modal class is class with highest frequency

Since 20-30 has highest frequency 18

∴ It is the modal class

4. b) 43.6 units

Colony B

where l = lower limit of modal class = 40

h = class-interval = 10

f1 = frequency of the modal class = 40

f0 = frequency of class before modal class = 20

f2 = frequency of class after modal class = 5

Putting values in formula

5. c) 38.75 units

Colony B

+2 votes
by (28.9k points)

1. c) 20 units

2. a) 19.64 units

3. c) 20-30 units

4. b) 43.6 units

5. c) 38.75 units

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