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

Question : 1

Frequency density of a class is computed by the ratio

a) Class frequency to total frequency

b) Class frequency to total number of classes

c) Class frequency to the class width

d) Cumulative frequency up to that class to total frequency

Question : 2

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 : 3

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 : 4

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 : 5

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 : 6

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