KSLU Solved Question Papers
Business Statistics
Previous Year Question Paper with Solution
B.B.A. LL.B. (Five Years) · Sem 3
2025 Jan Examination
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Mumbai
B.B.A. LL.B. (Five Years) Sem 3 Business Statistics 2025 Jan Question Paper with Solutions
First published on munotes.in on 21 October 2026.
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The question paper reproduced here is the paper as set by Karnataka State Law University at the 2025 Jan examination.
Contents
The questions below are the paper as Karnataka State Law University set it at the 2025 Jan examination, in the order it was set.
MarksPage
MarksPage
The Paper as Set
The questions in this volume are the questions asked at the 2025 Jan examination, reproduced as Karnataka State Law University set them, in the order it set them. Long reading passages are shortened to their first and last lines and our summary; the original paper prints them in full. Only the answers are ours. See the original question paper.
Duration 3 hours · Total marks 80 · 20 questions answered
Instructions printed on the paper
- N.B. (1) Answer all five Units. (2) One essay type question and short note/problem is compulsory from each Unit. (3) Figures to the right indicate marks. (4) Answer should be written in English only. (5) Use simple calculator only.
How to use this volume
Solve the paper first, under exam conditions and against the clock. Then read the answers here and mark your own. Reading a solution before attempting the question feels productive and teaches very little, because recognising an answer is not the same as being able to write one.
Q1
Unit 1
(a)Prepare a frequency distribution for the following observation by constructing a class interval of 10 and draw a histogram.[10]
Answer
The figures given in the question
| 16 | 12 | 30 | 29 | 22 | 35 | 39 | 40 | 42 | 40 |
| 50 | 30 | 18 | 12 | 5 | 15 | 3 | 4 | 9 | 45 |
| 9 | 0 | 5 | 6 | 8 | 15 | 25 | 22 | 3 | 4 |
| 8 | 12 | 5 | 9 | 3 | 4 | 30 | 32 | 29 | 1 |
For full marks, cover: the range of the data and the choice of classes of width 10; how each observation is entered (tally); the frequency table with its total; and how the histogram is drawn, with axes, scale and what it shows.
Step 1: choosing the classes
There are 40 observations. The smallest is 0 and the largest is 50. The question asks for a class interval of 10, so the classes are 0-10, 10-20, 20-30, 30-40, 40-50 and 50-60.
These are exclusive classes: the upper limit of each class is not included in it. So 10 goes into 10-20, 30 into 30-40, 40 into 40-50 and 50 into 50-60.
Step 2: entering the observations
Each observation is taken in turn and a tally mark (a short stroke) is put against its class. Every fifth stroke is drawn across the four before it, so the marks can be counted in fives. The strokes in each class are then counted to give its frequency.
The observations that fall in each class, arranged in order, are listed below, so the count of every class can be checked.
| Class | Observations in the class | f |
|---|---|---|
| 0-10 | 0, 1, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 8, 8, 9, 9, 9 | 17 |
| 10-20 | 12, 12, 12, 15, 15, 16, 18 | 7 |
| 20-30 | 22, 22, 25, 29, 29 | 5 |
| 30-40 | 30, 30, 30, 32, 35, 39 | 6 |
| 40-50 | 40, 40, 42, 45 | 4 |
| Class | Observations in the class | f |
|---|---|---|
| 50-60 | 50 | 1 |
| Total | 40 |
The frequencies add up to 40, the number of observations, so none has been missed or counted twice.
Step 3: the frequency distribution
| Class | f |
|---|---|
| 0-10 | 17 |
| 10-20 | 7 |
| 20-30 | 5 |
| 30-40 | 6 |
| 40-50 | 4 |
| 50-60 | 1 |
| Total | 40 |
Step 4: drawing the histogram
- Take the classes on the X axis, from 0 to 60, with 1 cm for 10 units.
- Take the frequencies on the Y axis, from 0 to 18, with 1 cm for 2 observations.
- All the classes have the same width, 10, so the height of each rectangle equals its frequency.
- Draw a rectangle on each class to the height of its frequency in the table above.
- The rectangles stand side by side with no gaps, because the classes are continuous.
- Write a title, "Histogram of the 40 observations", and label the axes "Class" and "Frequency".
What the histogram shows
The tallest rectangle is on 0-10, which holds 17 of the 40 observations. The heights then fall away to the right, with only one observation in 50-60. So the distribution is heavily concentrated at the low values and has a long tail to the right. It is positively skewed.
Conclusion. With a class interval of 10, the frequencies are 17, 7, 5, 6, 4 and 1 for the classes 0-10 to 50-60. They total 40. The histogram drawn on it has its tallest bar on 0-10 and a long tail to the right.
The rest of the answers
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