Chapter 7
Business Statistics
Nepal Bank past exam questions
Past questions and answers
2 questions set from this chapter. Most repeated first.
- 2082 · 1st Paper · 5 marks
The following distribution gives the marks of 30 students in a certain examination. Find the Standard Deviation and Coefficient of Variation.
Marks 20-30 30-40 40-50 50-60 60-70 70-80 No. of Students 3 5 6 8 4 4
Answer
| Marks | Midpoint (x) | Frequency (f) | (fx) | (fx^2) |
|---|---|---|---|---|
| 20–30 | 25 | 3 | 75 | 1875 |
| 30–40 | 35 | 5 | 175 | 6125 |
| 40–50 | 45 | 6 | 270 | 12150 |
| 50–60 | 55 | 8 | 440 | 24200 |
| 60–70 | 65 | 4 | 260 | 16900 |
| 70–80 | 75 | 4 | 300 | 22500 |
| Total | (N=30) | (\sum fx=1520) | (\sum fx^2=83750) |
[ \bar{x}=\frac{\sum fx}{N}=\frac{1520}{30}=50.67 ]
Standard deviation:
[ \sigma=\sqrt{\frac{\sum fx^2}{N}-\left(\frac{\sum fx}{N}\right)^2} ]
[ \sigma=\sqrt{\frac{83750}{30}-\left(\frac{1520}{30}\right)^2} ]
[ \sigma=\sqrt{2791.67-2567.11} ]
[ \sigma=\sqrt{224.56}=14.99 ]
Coefficient of Variation:
[ CV=\frac{\sigma}{\bar{x}}\times 100% ]
[ CV=\frac{14.99}{50.67}\times 100%=29.58% ]
Standard Deviation = 14.99 marks
Coefficient of Variation = 29.58%
Answer checked by Claude Haiku · Oct 21, 2026
Test yourself · 2 MCQs
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- 2082 · 1st Paper (Open) · 1 mark
Which of the following are the major characteristics of an index number?
I) It is expressed in percentage.
II) It measures the net or relative changes in variables.
III) It measures changes over a period of time.
A) I and II only
B) I and III only
C) II and III only
D) I, II and III
Answer
(D) I, II and III
Index numbers are expressed as percentages (usually with base = 100), measure the relative (net) change in a variable, and are mainly used to measure change over a period of time. All three statements are correct.
Answer checked by Claude Sonnet · Oct 21, 2026
Test yourself · 1 MCQ
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