0542-213 Midterm Solved Questions & Study Guide (Summer 2026)

0542-213 Statistics for Decision-Making Midterm Exam Solved Questions — Summer 2026 (DIU BBA)

Introduction

The 0542-213 Statistics for Decision-Making course is a core requirement for BBA students at Daffodil International University (DIU), designed to equip future business leaders with essential data analysis skills. This course covers fundamental statistical concepts, including data collection, descriptive statistics, probability, and inferential techniques—all critical for making informed business decisions. The Summer 2026 Midterm Exam tests students' ability to apply these concepts to real-world scenarios, such as analyzing temperature data, constructing frequency distributions, and calculating measures of central tendency and dispersion.

For DIU BBA students, practicing past exam questions is one of the most effective ways to prepare. Solving these problems not only reinforces theoretical knowledge but also builds confidence in interpreting data, a skill highly valued in today’s data-driven business environment. Whether you're aiming to improve your grades or strengthen your analytical skills for future career success, mastering these questions will give you a competitive edge. In this post, we provide detailed, step-by-step solutions to the Summer 2026 Midterm Exam for Statistics for Decision-Making, ensuring you understand every concept thoroughly.

Exam Overview & Mark Distribution

The 0542-213 Statistics for Decision-Making Midterm Exam (Summer 2026) consists of three questions, totaling 20 marks. The questions assess a range of topics, from basic statistical definitions to practical data analysis techniques. Here’s a breakdown of the marks:

• Question 01: 5 marks (Population, Sample, Parameter, Statistic, Variable, Secondary Data)
• Question 02: 6 marks (Frequency Distribution, Ogive Curve)
• Question 03: 9 marks (Median, Mode, Mean, Interquartile Range)

Solved Questions

Question 01

a) A researcher wanted to find the average temperature of Dhaka city in June 2026. As it is not possible to check at every location in every single moment, he collected data from 10 weather stations, which showed an average temperature of 33.8°C. From official records, the average temperature of the whole Dhaka city in June was found to be 32.6°C. Based on the above scenario, identify the Population, Sample, Parameter, Statistic, Variable, Type of variable, and Scale of measurement.

Solution:

• Population: The entire set of temperature measurements for all locations in Dhaka city during June 2026.

- Reasoning: The population includes every possible temperature reading in the city for the entire month.

• Sample: The 10 weather stations from which the researcher collected data.

- Reasoning: A sample is a subset of the population used to estimate characteristics of the whole.

• Parameter: The true average temperature of Dhaka city in June (32.6°C).

- Reasoning: A parameter is a numerical characteristic of the entire population.

• Statistic: The average temperature from the 10 weather stations (33.8°C).

- Reasoning: A statistic is a numerical characteristic of the sample.

• Variable: The temperature (in °C).

- Reasoning: The variable is the characteristic being measured (temperature).

• Type of Variable: Quantitative (Continuous).

- Reasoning: Temperature can take any value within a range (e.g., 32.5°C, 33.8°C).

• Scale of Measurement: Interval Scale.

- Reasoning: Temperature in Celsius has meaningful intervals (e.g., 30°C is 5°C warmer than 25°C), but no true zero point (0°C does not mean "no temperature").

b) Define Secondary data with an example.

Solution:

• Secondary Data: Data collected by someone else for a different purpose but used by the researcher for their own analysis.

- Example: The official records of Dhaka’s average temperature (32.6°C) used by the researcher in part (a) are secondary data. This data was originally collected by meteorological departments for weather forecasting but was repurposed for the researcher’s study.

Question 02

The weight of 20 children (in kg) is given below:

35, 28, 25, 28, 38, 32, 43, 39, 27, 35, 32, 45, 38, 30, 42, 26, 33, 37, 36, 30

a) Construct a frequency distribution table and identify the percentage of children who weigh more than 35 kg.

Solution:

1. Determine the number of classes:

- Use the Sturges’ formula: \( k = 1 + 3.322 \log_{10}(n) \), where \( n = 20 \).

- \( k = 1 + 3.322 \log_{10}(20) \approx 5.32 \). Round to 5 classes.

1. Calculate class width:

- Range = Max value - Min value = 45 -