Introduction to Statistics

Q.

Why do we use average ? Are there any limitations to their use? Illustrate with your example related to development?

Q.

The probability that a leap year selected at random contains $53$ Sundays is

1. $\frac{7}{366}$

2. $\frac{28}{183}$

3. $\frac{1}{7}$

4. $\frac{2}{7}$

Q.

How to find the size of class interval

Q. what is the class size and class interval of interval 40 - 45

Q. In the class interval 10-20 which is the lower limit and find the class size.

Q.

Tally marks are used to find

1. Class Interval

2. Range

3. Upper Limit

4. Frequency

Q.

A batsman scored the following number of runs in six innings:

36, 35, 50, 46, 60, 55.

Calculate the mean runs scored by him in an inning.

Q. What is the location of the points A and B in the cartesian co-ordinate system in the following figure?

1. A : (1, 7) , B : (2, 4)
2. A : (7, 1) , B : (4, 2)
3. A : (7, 2) , B : (4, 1)
4. A : (7, 4) , B : (1, 2)

Q.

What is the name of horizontal and vertical lines draw to determine the position of any point in the Cartesian plane?

Q. The class-width of the intervals in the given grouped frequency disribution table is:

Class interval	Frequency
0-10	2
10-20	10
20-30	21
30-40	19
40-50	7
50-60	1
Total	60

1. 5
2. 7
3. 9
4. 10

Q. An unbiased die is tossed. What is the probability of getting a multiple of 3?

1. $\frac{2}{3}$
2. $\frac{1}{3}$
3. $\frac{1}{6}$
4. $\frac{1}{2}$

Q. In frequency distribution table the frequency of the scores is denoted as _____.

1. $L_i$
   
2. $A_i$
   
3. $B_i$
   
4. $f_i$
   

Q.

Mean of eight observation is 25 if one observation 11 is excluded, find the mean of the remaining

Q. The mean of 40 observations was 160. It was detected that the value of 165 was wrongly copied as 125. Find the correct mean

Q.

What is the width of the class interval 200 - 225?

1. 25

2. 12.5

3. 22.5

4. 50

Q.

Difference between histogram and bar graph

Q. If Swamy has two children and he truthfully answers yes to the question “Is at least one of your children a girl?”, what is the probability that both his children are girls?

1. $\frac{1}{3}$
2. $\frac{1}{2}$
3. $\frac{2}{3}$
4. 1

Q.

A motor bike covers 10 miles at an average speed of 60 mph. If it covers the first 3 miles at 60 mph and the next 5 miles at 50 mph, at what speed does it cover the remaining 2 miles?

Q. if the mean of p, q, r, s and t is 5 then the value of (p-5)+(q-5)+(r-5)+(s-5)+(t-5)

Q. The monthly rainfall in Bangalore for 6 months is given below. What is the average rainfall for those 6 months?
800 mm, 570 mm, 500 mm, 710 mm, 420 mm, 900 mm.

1. 850 mm
2. 625 mm
3. 650 mm
4. 710 mm

Q. Construct a histogram from the following distribution of total marks obtained by 60 students of class VIII.

$\begin{array}{ccc}\text{Class Marks (Mid points)}& \text{Number of students}& \text{Class Interval}\\ 150& 7& \\ 160& 14& \\ 170& 9& \\ 180& 12& \\ 190& 15& \\ 200& 3& \end{array}$

Q.

During organization of data, tally marks are used to find the:

1. Frequency

2. Cumulative frequency

3. Class limit

4. Variable

Q.

Which Of The Following Is Mathematical Average?

1. Harmonic Mean

2. Geometric Mean

3. Arithmetic Mean

4. All Of These

Q. Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is (A) 48 (B) 82 (C) 50 (D) 80

Q. State true or false.
Collecting data on GDP from the government resources will be termed as a secondary collection of data.

1. True
2. False

Q.

In order to analyse and interpret a data set, we should _________ it first.

1. organise

2. remove

3. find

4. visualize

Q.

What do we understand by the term statistics?

1. Collection and organistaion of data

2. Analysis of data

3. Interpretation of data

4. All of the above

Q. Question 3(ii)
Find the: Probability of getting an ace from a well-shuffled deck of 52 playing cards.

Q. The number of times a particular observation occurs in a data set is called_______ of that observation.

1. frequency
2. presentation
3. observation
4. None of the above

Q. When we draw the subdivided bar graph, the distance between the two consecutive bars need to be _____.

1. equal
2. unequal
3. of any length
4. different