Statistics

Q.

A variable which can take any possible values within the range is called as _______________

1. Discrete

2. Continuous

3. Secondary

4. Primary data

Q. Construct a frequency distribution table from the following cumulative frequency distribution:-
(i)
$\begin{array}{cc}\text{Class Interval}& \text{Cumulative Frequency}\\ 10-19& 8\\ 20-29& 19\\ 30-39& 23\\ 40-49& 30\end{array}$

(ii)
$\begin{array}{cc}\text{Class Interval}& \text{Cumulative Frequency}\\ 5-10& 18\\ 10-15& 30\\ 15-20& 46\\ 20-25& 73\\ 25-30& 90\end{array}$

Q. Durations of sunshine (in hours) in Amritsar to first 10 days of August 1997 as reported by the Meteorological Department are given below:
9.6, 5.2, 3.5, 1.5, 1.6, 2.4, 2.6, 8.4, 10.3, 10.9

(i) Find the mean X.

(ii) Verify that $\sum _{i=1}^{10}(x_i-\overline{X})=0$

Q. Prepare the grouped frequency distribution table from the cumulative frequency distribution table given below. Draw the frequency polygon.

Mark	Cumulative Frequency
Less than 5 Less than 15 Less than 25 Less than 35 Less than 45 Less than 55 Less than 65 Less than 75	0 3 5 15 44 70 91 106

Q. Define cumulative frequency distribution.

Q. Answer in detail:
What is a sub divided bar diagram?
Draw a sub divided bar diagram from the following data?

Stream	No of Students
	2009	2010	2011
Arts	50	70	75
Science	200	250	300
Commerce	100	120	130

Q.

The given table shows the marks obtained and the frequency. The cumulative frequency is ________

$$\begin{array}{cc}\text{Marks}& \text{Frequency}\\ 10-20& 4\\ 20-30& 9\\ 30-40& 6\\ 40-50& 10\end{array}$$

Q. Construct a cumulative frequency distribution table from the frequency table given below:
$\begin{array}{cc}\text{Class Interval}& \text{Frequency}\\ 0-8& 9\\ 8-16& 13\\ 16-24& 12\\ 24-32& 7\\ 32-40& 15\end{array}$

Q. Explain the reading and interpretation of bar graphs.

Q. The following data gives the demand estimates of the Government of India, Department of Electronics for the personnel in the Computer sector during the Eighth Plan period (1990-95):

Qualifications:	MCA (Master in Computer applications)	DCA (Diploma in Computer Applications)	DCE (Diploma in Computer Engineering)	CL (Certificate Level Course)	ST (Short-term Course)
Personnel Required	40600	181600	18600	670600	1802900

Represent the data with the help of a bar graph. Indicate with the help of the bar graph the course where estimated requirement is least.

Q.

The given table shows the marks obtained and the frequency. The cumulative frequency is ________

$$\begin{array}{cc}\text{Marks}& \text{Frequency}\\ 10-20& 4\\ 20-30& 9\\ 30-40& 6\\ 40-50& 10\end{array}$$

1. 20

2. 16

3. 24

4. 29

Q. State which of the following variables are continuous and which are discrete
(a) Number of children in your class
(b) Distance travelled by a car
(c) Sizes of shoes
(d) Time
(e) Number of palients in a hospital.

1. Discrete variables: (a), (b), and (e)
   Continuos variables: (c) and (d)
2. Discrete variables: (a), (c), and (d)
   Continuos variables: (b) and (e)
3. Discrete variables: (a), (c), and (b)
   Continuos variables: (e) and (d)
4. Discrete variables: (a), (c), and (e)
   Continuos variables: (b) and (d)

Q. Three science classes A, B and C take a life science test. The average score of class A is $83$. The average score of class B is $76$. The average score of class C is $85$. The average score of class A and B is $79$ and average score of class B and C is $81$. Then the average score of classes A, B and C is

Q. "Statistics is numerical statement of facts in any development of enquiry placed in relation to each other". This definition of Statistics was given by____.

1. Bowley
2. Wappans
3. Kendal
4. Webster

Q. Business managers also need statistics for planning as _______________.

1. decisions can not be made on trial basis
2. both A & B
3. systematically organized data help in developing decision policies
4. none of the above

Q.

Match the two columns.
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) Data which is collected for the first time by the statistical}& \text{(p) Secondary data}\\ \text{investigator or with the help of his workers is called}& \\ \text{(B) These are the data already collected by a person or a}& \text{(q) Variable}\\ \text{society and these may be in published form.}& \\ \text{These data should be carefully used.}& \\ \text{(C) When the data is compiled in the same form and order in}& \text{(r) Primary Data}\\ \text{which it is collected, it is known as}& \\ \text{(D) A quantity which can vary from one individual to another is}& \text{(s) Raw Data}\\ \text{called}& \end{array}$
Choose the correct option:

1. A-r; B-s; C-q; D-p

2. A-r; B-p; C-s; D-q

3. A-s; B-p; C-r; D-q

4. A-q; B-r; C-p; D-s

Q. The percentage of literate males between the ages 15 and 45, in a colony is given.

Class	15$-$20	20$-$25	25$-$30	30$-$35	35$-$40	40$-$45
Percentage	42	38	35	26	16	05

Draw a histogram, with scale 1 cm = 5%

Q. _____ deals with collection, organization and interpretation of data.

1. Probability
2. Statistics
3. Both
4. None of these

Q.

Determine whether the following is a statistical question.

Did Shyam watch television last night? (yes/no)

__

Q.

In the class interval 22-26, the lower limit is _____ .

1. 25

2. 22

3. 26

4. 24

Q.

Given below is a cumulative frequency table:
$\begin{array}{cc}\text{Marks}& \text{Number of students}\\ \text{Below}10& 17\\ \text{Below}20& 22\\ \text{Below}30& 29\\ \text{Below}40& 37\\ \text{Below}50& 50\\ \text{Below}60& 60\end{array}$
Extaract a frequency table from the above.

Q. Fill in the blanks in the following table:

Marks	Frequency	Cumulative frequency
0−5	3	3
5−10	5	......
10−15	8	......
15−20	4	......

Q. Statistics helps us in drawing meaningful inferences from data collected in numerous experiments

1. True
2. False

Q. What are the groups into which large data is condensed called?

1. Classes
2. Class limits
3. Class size
4. Class width

Q.

Determine whether the following is a statistical question if data pertaining to internet searches is available.

How many internet searches do residents at Jacque’s retirement home perform each day? (Yes/No)

__

Q. Collect the date of births of the students in your class. Calculate their ages in years months. draw a histogram

Q. Which of the following are the characteristics of statistics?

1. Aggregate of facts
2. Numerically expressed
3. Affected by multiplicity of causes
4. All the above

Q.

Determine whether the following is a statistical question.

Did Shyam watch television last night?

1. No, as here we get the absolute data without variability.
2. No, as here we get the absolute data with variability.
3. Yes, as here we get the absolute data without variability.
4. May be yes, as here we get the absolute data with variability.

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