NAME
1. Differentiate between parameter and statistic.
2. Write down the parts of the table
3. The following national weather report gives the temperatures and weather conditions
on the previous day in cities across the nation.
a.
b.
c.
d.
e.
City
Hi
Lo
Condition
Albany, N.Y.
Chicago
Dallas-Ft.Worth
Denver
Hartford
Honolulu
Kansas City
Los Angeles
Nashville
New York City
Philadelphia
88
92
89
75
88
86
93
80
94
90
90
60
64
72
54
61
70
74
62
72
69
67
cloudy
clear
cloudy
clear
cloudy
clear
clear
cloudy
rain
rain
rain
How many elements are in this data set?
How many variables are in this data set?
How many observations are there in the above data set?
Which variables are categorical and which are quantitative?
What measurement scale is used for temperature and weather conditions?
4. The following data shows the students in millions on rolls at school/university stage in
India according to different class groups and gender for the year 1970-71 as on 31st
March
Stage
Boys Girls Total
Class I to V
35.74 21.31 57.05
Class VI to VIII
9.43 3.89 13.32
Class XI to XI
4.87 1.71 6.58
University/College 2.17 0.64 2.81
Represent the data by (i) Component Bar Diagram (ii) Multiple Bar diagram
5. Draw Histogram for the following frequency distribution, frequency polygon
Variable: 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency: 12 30 35 65 45 25 18
NAME
1. Mention the ways of classifying the data
2. What do you mean by outliers? Give an example
3. The following information regarding the ten richest Americans was reported in a
recent issue of Forbes.
Name
Gates, William
Buffett, Warren
Adelson, Sheldon
Ellison, L. J.
Brin, Sergey
Page, Larry
Kerkorian, Kirk
Dell, Michael
Koch, Charles
Koch, David
a.
b.
c.
d.
e.
Ranking
1
2
3
4
5
5
7
8
9
9
Worth
($Billions)
59.0
52.0
28.0
26.0
18.5
18.5
18.0
17.2
17.0
17.0
Age
51
77
74
63
34
34
90
42
71
67
Marital
Status
married
married
married
married
married
single
divorced
married
married
married
Source
Microsoft
Berkshire Hathaway
casinos, hotels
Oracle
Google
Google
investments, casinos
Dell
oil, commodities
oil, commodities
How many elements are in the above data set?
How many variables are in this data set?
How many observations are in this data set?
Which variables are categorical and which are quantitative?
What measurement scale is used for each variable?
4. The weekly observations on cost of living index in a certain city for the year 2000-2001
are given below:
COL Index
: 140-150 150-160 160-170 170-180 180-190 190-200
No. of workers : 5
10
20
9
6
2
Prepare ‘less than’ and ‘more than’ cumulative frequency distributions and draw a suitable
diagram
5. Following are the marks obtained by 24 students in English and economics in a test.
(15,13) (0,1) (1,2) (3,7) (16,8) (2,9) (18,12) (5,9) (4,17) (17,16) (6,6) (19,18) (14,11)
(9,3) (8,5) (13,4) (10,10) (13,11) (11,14) (11,7) (12,18) (18,15) (9,15) (17,3)
Taking class intervals as 0-4, 5-9, etc, for both X and Y, Construct
i.Bivariate Frequency Table
ii.Marginal Frequency Tables of X and Y
NAME
1. Differentiate between Population and Statistic
2. Write down the functions of classification
3. The highway patrol is interested in determining the average speed of automobiles
traveling on I-75 between Chattanooga and Atlanta. To accomplish this task, the
speed of every tenth car passing a particular point on I-75 is recorded.
a.
b.
c.
d.
What is the population for this study?
What constitutes the sample?
Is speed a categorical or a quantitative variable?
What type of measurement scale is used?
4. A portfolio contains 50 stocks whose prices are given below. Summarize these stock
prices in the form of a frequency distribution. Also calculate the relative frequency
distribution.
67
34
36
48
49
31
61
34
43
45
38
32
27
61
29
47
36
50
46
30
40
32
30
33
45
49
48
41
53
36
37
47
47
30
50
28
35
35
38
36
38
43
34
62
69
50
28
44
43
60
5. Represent the following data by a deviation Bar diagram
Year Income (in Crores
Expenditure (in Crores
Rs)
Rs)
1994 15
18
1995 16
17
1996 17
16
1997 18
20
1998 19
17
1999 20
18
NAME
1. Write down the applications of statistics in business.
2. Differentiate between Descriptive statistics and inference statistics.
3. The following information regarding a sample of seven students is provided.
Student
Adam
Brandon
Jason
Marissa
Michelle
Wendy
Webster
a.
b.
c.
d.
e.
Identification
number
1234
8978
6578
2345
8901
7789
6780
Grade Point
Average
2.89
2.01
3.97
3.98
2.67
4.00
3.77
Classification
Gender
Senior
Junior
Freshman
Sophomore
Senior
Senior
Freshman
Male
Male
Male
Female
Female
Female
Male
Rank in
Class
15
25
3
2
18
1
4
How many elements are in the above data set?
How many variables are in this data set?
How many observations are in this data set?
Which variables are categorical and which are quantitative variables?
What measurement scale is used for each variable?
4. In a degree colleges of a city no teacher is less than 20 years or more than 60 years in
age. Their cumulative frequencies are as follows.
Age (Less than) :
60
55
50
45
40
35
30
25
Cumulative frequency
980
925
810
675
535
380
220
75
Find the frequencies in the class intervals 25-30, 30-35,…
5. A company wants to pay daily bonus to its employees. The bonus is to be paid as under:
Daily salary (Rs): 100-200 200-300 300-400 400-500 500-600 600-700
Daily Bonus (Rs): 10
20
30
40
50
60
Actual daily salaries of the employees in rupees are as under:
175, 225, 375, 478, 525, 650, 570, 451, 382, 280,
375, 465, 530, 480, 320, 515, 225, 345, 471, 450
Find out the total daily bonus paid to the employees.
NAME
1. Define Statistics and its scope
2. Write down the various levels of measurement along with an example
3. Michael, Inc., a manufacturer of electric guitars, is a small firm with 50 employees.
The table below shows the hourly wage distribution of the employees.
Hourly Wages (In Dollars)
10 - 13
14 - 17
18 - 21
22 - 25
Number of Employees
8
12
20
10
a. How many employees receive hourly wages of at least $18?
b. What percentage of the employees has hourly wages of at least $18?
c. What percentage of the employees has hourly wages of less than $14?
4. Construct
a. Bivariate Frequency Table
b. Marginal Frequency Tables of L and M
L
1
2
3
6
2
3
4
5
9
6
5
4
6
9
8
7
10
M 600 610 620 630 640 650 680 690 680 690 660 700 720 710 730 740 710
L
7
7
9
8
11
13
16
11
10
13
13
16
M
730 700 750 780 760 760 750 780 800 830 850 880
5.A survey of 400 college seniors resulted in the following crosstabulation regarding their
undergraduate major and whether or not they plan to go to graduate school.
Undergraduate Major
Graduate School
Business
Engineering
Others
Total
Yes
35
42
63
140
No
91
104
65
260
Total
126
146
128
400
a. Are a majority of the seniors in the survey planning to attend graduate school?
b. Which discipline constitutes the majority of the individuals in the survey?
c. Compute row percentages and comment on the relationship between the students'
undergraduate major and their intention of attending graduate school.
d. Compute the column percentages and comment on the relationship between the
students' intention of going to graduate school and their undergraduate major.