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SESSION MARCH 2025
PROGRAM BACHELOR OF COMMERCE (B.COM.)
SEMESTER III
COURSE CODE & NAME DCM 2104 BUSINESS STATISTICS
   
   

 

 

Assignment Set – 1

 

 

Q1. Discuss briefly primary and secondary data. Mention the methods of collecting primary data and secondary data. (4 + 6 Marks)

Ans 1.

Primary Data

Primary data refers to data that is collected firsthand by the researcher for a specific purpose. It is original and raw data that has not been previously published or processed. This type of data is collected directly from the source through various methods such as surveys, interviews, observations, or experiments.

Primary data is highly reliable

 

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Q2. From the following data, compute the values of:

  1. a) Upper and lower quartiles
  2. b) Median
Marks No. of Students Marks No. of Students
0–10 11 50–60 33
10–20 18 60–70 22
20–30 25 70–80 15
30–40 28 80–90 12
40–50 30 90–100 10

 

(5 + 5 Marks)

Ans 2.

Given Data (Grouped Frequency Table)

 

Marks (Class Interval) Frequency (f)
0 – 10 11
10 – 20 18
20 – 30 25
30 – 40 28

 

 

 

Q3. Explain the index number with its types.  (5 + 5 Marks)

Ans 3.

Meaning of Index Number

an index number is a statistical tool used to measure changes in the level of a phenomenon over time, location, or group. It expresses the relative change of variables like prices, quantities, or values compared to a base period. The base period is usually given an index value of 100, and subsequent values indicate the percentage increase or decrease from the base.

Index numbers are widely used in economics and business to track inflation, cost of living, production trends,

 

 

Assignment Set – 2

 

 

Q4. Explain time series with four types or elements of variation.  (4 + 6 Marks)

Ans 4.

Meaning of Time Series

time series refers to a sequence of data points recorded at regular intervals over time. It helps in analyzing how a variable changes over time and in forecasting future values based on historical trends. Time series is widely used in fields like economics, business forecasting, and social sciences.

Each observation in a

 

 

 

Q5. What do you mean by Hypothesis and Hypothesis testing? State differences between type I and II errors. (5 + 5 Marks)

Ans 5.

Hypothesis – Meaning

a hypothesis is a tentative assumption or a statement made about a population parameter which is tested using statistical methods. It provides a basis for drawing conclusions from sample data and is used in decision-making under uncertainty. Hypotheses are usually framed in pairs:

  • Null Hypothesis (H

 

 

Q6. Elaborate chi-square test and its significance in statistical analysis. (5 + 5 Marks)

Ans 6.

Chi-Square Test – Meaning

The chi-square (χ²) test is a non-parametric statistical tool used to determine whether there is a significant association between two categorical variables or whether the observed distribution of frequencies differs from the expected distribution. It is used when data is in the form of counts or