Statistics Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched ?

a) Ordinates of the – Class vertices of the polygon frequencies

b) Abscissa of the vertices – Class marks of of the polygon the frequency distribution

c) Base line of the polygon – X-axis

d) Area of the – Total polygon frequency of the distribution

Question : 2

The arithmetic mean of two numbers is 10 and their geometric mean is 8. What are the two numbers?

a) 12, 8

b) 16, 4

c) 15, 5

d) 18, 2

Question : 3

In a pi-diagram there are three sectors. If the ratio of the angles of the sectors is 1 : 2 : 3, then what is the angle of the largest sector?

a) 180°

b) 150°

c) 200°

d) 120°

Question : 4

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

Question : 5

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 : 6

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