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Exam Paper for Business Statistics in BBA (With Answers)
PAPER # 1
**BBA Business Statistics Exam**
**Duration: 2 hours**
**Instructions:**
1
...

2
...

3
...

4
...

5
...
Which of the following is NOT a measure of central tendency?
a) Mean
b) Median
c) Mode
d) Variance
**Answer: d) Variance**

2

2
...
85, it indicates:
a) A strong positive linear relationship
b) A strong negative linear relationship
c) No linear relationship
d) A weak positive linear relationship
**Answer: b) A strong negative linear relationship**
3
...
What is the formula for calculating the coefficient of variation (CV)?
a) CV = (Standard Deviation / Mean) x 100
b) CV = Mean / Standard Deviation
c) CV = Standard Deviation x Mean
d) CV = Mean - Standard Deviation
**Answer: a) CV = (Standard Deviation / Mean) x 100**
**Part B: Short Answer Questions (5 points each)**

3

5
...
" Provide an example
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It
assigns probabilities to each possible outcome
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Explain the concept of sampling error
...
g
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It occurs due to the inherent randomness in the sampling
process
...

The margin of error in surveys quantifies the possible range of values
within which the true population parameter is likely to fall
...
g
...
A larger sample size generally
results in a smaller margin of error, and a higher confidence level results in a
larger margin of error
...


4

**Part C: Problems (15 points each)**
7
...
Calculate the mean,
median, and mode of the data
...
5 hours
To calculate the median, arrange the data in ascending order: 5, 6, 6, 7, 7,
8, 8, 9, 9, 10
...

Mode = 6, 7, 8, and 9 (all occur twice), so there are multiple modes
...
A company wants to evaluate the performance of its sales team
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Calculate the
standard deviation of sales made per day
...

Mean = (5 + 6 + 4 + 7 + 8 + 5 + 6 + 7 + 9 + 5 + 4 + 7 + 8 + 6 + 5 + 7 + 6 + 8 + 5
+ 9) / 20 = 130 / 20 = 6
...

(5 - 6
...
25
(6 - 6
...
25

5

(4 - 6
...
25
(7 - 6
...
25
(8 - 6
...
25
(5 - 6
...
25
(6 - 6
...
25
(7 - 6
...
25
(9 - 6
...
25
(5 - 6
...
25
(4 - 6
...
25
(7 - 6
...
25
(8 - 6
...
25
(6 - 6
...
25
(5 - 6
...
25
(7 - 6
...
25
(6 - 6
...
25
(8 - 6
...
25
(5 - 6
...
25
(9 - 6
...
25
Average of squared differences = (2
...
25 + 6
...
25 + 2
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25 +
0
...
25 + 6
...
25 + 6
...
25 + 2
...
25 + 2
...
25 + 0
...
25 + 2
...
25) / 20 = 51 / 20 = 2
...

Standard Deviation = √2
...
59
9
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The sample has a mean lifespan of 1500
hours and a standard deviation of 100 hours
...

**Answer:**
To calculate the 95% confidence interval for the mean lifespan, we'll use
the formula for a confidence interval:
Confidence Interval = Mean ± (Z * (Standard Deviation / √n))
Where:
- Mean = 1500 hours
- Z is the critical value for a 95% confidence level, which is approximately
1
...

- Standard Deviation = 100 hours
- n (sample size) = 25
Confidence Interval = 1500 ± (1
...
96 * 20)
Confidence Interval ≈ 1500 ± 39
...
8, 1539
...


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PAPER # 2

BBA Business Statistics Exam Paper
Instructions: Answer any four questions from Section A, any two questions from Section
B, and any two questions from Section C
...
What is the difference between descriptive and inferential statistics?
2
...

3
...
What are the different types of probability distributions?
5
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A company sells widgets
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(b) Construct
a histogram of the number of widgets sold
...

7
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The company conducts a survey of
100 potential customers and finds that 60% of them are interested in the new product
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(b) Interpret the confidence interval
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A company is trying to predict the demand for its products next year
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(b) Use the model to predict the demand
for the company's products next year
...
A company wants to test the effectiveness of a new advertising campaign
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The following table shows the
number of sales generated by each group of customers:
Group

Number of sales

New advertising campaign

55

Old advertising campaign

45

Use a chi-squared test to determine whether the new advertising campaign is more
effective than the old advertising campaign
...
Descriptive statistics are used to summarize and describe data, while inferential
statistics are used to make inferences about a population based on a sample
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The four types of data scales are nominal, ordinal, interval, and ratio
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Ordinal scales are used to rank data, but the
difference between each rank is not necessarily equal
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Ratio scales are used to measure data,
and the zero point is meaningful
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A population is the entire group of individuals or objects that you are interested in
studying, while a sample is a subset of the population
...
The four most common types of probability distributions are the normal distribution, the
binomial distribution, the Poisson distribution, and the exponential distribution
...
The central limit theorem states that the sampling distribution of the mean of a random
sample will be approximately normally distributed, regardless of the distribution of the
population from which the sample is drawn, as long as the sample size is sufficiently
large
...
(a) The mean number of widgets sold is 160
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The mode number of widgets sold is 160
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This table shows the number of times each value appears
in the data set
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The height of each
bar represents the frequency of that value
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7
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(b) The confidence interval tells us that we
are 95% confident

PAPER # 3:
BBA Business Statistics Exam Paper
Instructions: Answer any five questions out of seven
...

Q1
...
Statistics
2
...
Sample
4
...
Statistic
Answers:
1
...

2
...

3
...

4
...


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5
...

Q2
...

Answers:
There are four main types of data scales:
1
...
For
example, gender, hair color, and eye color are all nominal data
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Ordinal scale: Data at the ordinal scale is ranked, but the difference between each rank
is not necessarily equal
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3
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For example, temperature is interval data
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Ratio scale: Data at the ratio scale has equal intervals between each rank and a true
zero point
...

Q3
...
In this case, the median is
14
...
In this case, the mode
is 14
...
Construct a frequency distribution table for the following data set:
2, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15
Answers:
Class Interval

Frequency

1-3

1

12

4-6

2

7-9

3

10-12

3

13-15

4

Q5
...
83
Q6
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PAPER # 3:
Here is a sample exam paper for Business Statistics in BBA, with answers:
Section A
(Multiple Choice Questions)
1
...
Which of the following is the most appropriate measure of dispersion for a dataset with
outliers?

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(a) Standard deviation (b) Interquartile range (c) Range (d) Coefficient of variation
Answer: (b)
3
...
What is the probability of getting at least 3 heads?
(a) 1/32 (b) 1/16 (c) 1/8 (d) 1/4
Answer: (c)
4
...
Which of the following is the most appropriate statistical test to use to compare the
means of two independent groups?
(a) t-test (b) ANOVA (c) Chi-square test (d) Regression analysis
Answer: (a)
Section B
(Short Answer Questions)
6
...

A population is the entire group of individuals or objects that you are interested in
studying
...

7
...


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Descriptive statistics are used to summarize and describe data from a sample
...

8
...
Construct a frequency distribution table for the following dataset:
10, 12, 14, 11, 13, 15, 16, 17, 18, 19

Class Interval

Frequency

10-11

1

12-13

2

14-15

2

16-17

2

18-19

3

10
...

A hypothesis test is used to test a claim about a population parameter
...


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Section C
(Long Answer Questions)
11
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It selects a
random sample of 100 customers and finds that the average monthly sales for the
sample is $1000
...

To construct a 95% confidence interval for the average monthly sales of all customers,
we can use the following formula:
Confidence interval = mean +/- (t-value * standard error)

The t-value for a 95% confidence interval with 99 degrees of freedom is 1
...
The
standard error of the mean is calculated as follows:
Standard error of the mean = standard deviation / sqrt(sample size)

The standard deviation of the sample is unknown, so we can estimate it using the
sample standard deviation
...

Standard error of the mean = $200 / sqrt(100) = $20

Therefore, the 95% confidence interval for the average monthly sales of all customers
is:
$1000 +/- (1
...

12
...
It selects a random sample of 100 customers from each region and finds that
the

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PAPER # 4:
- Question 1: What are the three measures of central tendency and how are
they calculated? (3 marks)
- Answer: The three measures of central tendency are mean, median and
mode
...
The median is the middle value when the values are arranged in
ascending or descending order
...

- Question 2: What is the difference between a population and a sample?
Give an example of each
...
For example, if we
want to study the height of college students in India, the population would
be all the college students in India, and a sample could be 100 students
randomly selected from different colleges
...
They can also reveal patterns, trends and
outliers that may not be obvious from numerical summaries
...
For example, using inappropriate scales, axes, colors or
shapes can distort the data or create false impressions
...
It can be constructed from raw data
by following these steps:
- Identify the possible values or categories of the variable
...

- Record the counts in a table with two columns: one for the values or
categories and one for the frequencies
...

- Question 5: What is a normal distribution and what are its characteristics?
(4 marks)
- Answer: A normal distribution is a symmetric bell-shaped curve that
describes how many variables are distributed in nature
...

- The total area under the curve is equal to 1 or 100%
...

- The curve is determined by two parameters: the mean and the standard
deviation
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Business Administration
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