Statistics Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16

What is the difference between the number of boys studying Mathematics and the number of girls studying Physics?

a) 30

b) 60

c) 20

d) 80

Question : 17

Read the following information carefully to answer the questions that follow. The average age of 6 persons living in a house is 23.5 years. Three of them are majors and their average age is 42 years. The difference in ages of the three minor children is same.What is the median of the ages of minor children?

a) 5 years

b) 7 years

c) 3 years

d) Cannot be determined

Question : 18

Consider the following statements related to cumulative frequency polygon of a frequency distribution, the frequencies being cumulated from the lower end of the range :
1. The cumulative frequency polygon gives an equivalent representation of frequency distribution table.
2. The cumulative frequency polygon is a closed polygon with one horizontal and one vertical side. The other sides have non–negative slope.
Which of the above statements is / are correct ?

a) Only 2

b) Both 1 and 2

c) Only 1

d) Neither 1 nor 2

Question : 19

Let 1 $\ov{x_1}$ and $\ov{x_2}$ (where $\ov{x_2} > \ov{x_1}$) be the means of two sets comprising $n_1 and n_2$ (where $n_2 < n_1$) observations respectively. If $\ov{x}$ is the mean when they are pooled, then which one of the following is correct?

a) $\ov{x} > \ov{x_2}$

b) $\ov{x} < \ov{x_1}$

c) $\ov{x_1} < \ov{x} < \ov{x_2}$

d) $(\ov{x_1} - \ov{x}) + (\ov{x_2} - \ov{x}) = 0$

Question : 20

The number of girls studying Statistics is what percent (approximate) of the total number of students studying Chemistry?

a) 73.5

b) 78.7

c) 58.8

d) 80.6