Page 82 - Concepts of Reasoning-8

Sum of all observation
Solution. 1. (a) Mean =
Number of observations
0 + 0 + 2 + 2 + 3 + 3 + 3 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 8
=
64 16
=
16
= 4

2. (d) Here, the number of observations is n = 16, which is even.
( ) th and ( ) th
n
n
\ Median = Average value of observations.
+ 1
2
2
th
th
Þ Median = Average value of 8 and 9 observations
= 4 + 5
2
= 4.5
3. (c) In the given data, 5 occurs most frequently, i.e., four times.

So, the mode is 5.

Type II. Bar-Graphs:
Example 2. Read the given bar-graph and answer the questions.

3500
Expenditur e in July 2024
Expenditur
e in July 2024
Expenditure in July 2024
3000
2500
Expenditure (in `) Expenditure (in `) Expenditure (in `) 2000

1500

1000

500

Food Clothing Rent Educa on Miscellaneous
Heads
Heads
Heads
1. What is the expenditure on rent?
a. ` 3000 b. ` 2500 c. ` 3500 d. None of these
2. What is the expenditure on education and clothing?
a. ` 4000 b. ` 3000 c. ` 3500 d. ` 2500

3. On which item is the expenditure minimum and how much is it?
a. Food, ` 3600 b. Education, ` 1000
c. Rent, ` 2000 d. Clothing, ` 1000

82 Reasoning - 8