A-Part (Brief question answers)
1. What is statistics?
Ans: Statistics is a special branch of applied mathematics that helps in collecting, classifying and presenting numerical data.
2. What is questionnaire?
Ans: A questionnaire is written list of question which are answered by a lot of people in order to provide information to a report a survey.
3. What is raw data?
Ans: Information before it is arranged or analyzed by statistical methods.
4. What is index number?
Ans: The number which expressed the changes in price or quantity or value in respect of time and places is called index number.
5. What is average?
Ans: Average is an attempt to find one single figure to describe whole of figures.
6. What is power of the test?
Ans: The probability of not committing a type II error is called the power of the test hypothesis.
7. What is random variable?
Ans: A variable that is allowed to take on any value within a given range.
8. What is skewness?
Ans. Skewness is the degree of a symmetry or, departure from symmetry, of a distribution.
9. What is the value of coefficient of correlation?
Ans: Co-efficient of correlation is the measure of the strength of the linear relationship between two variables.
10. What is regression model?
Ans: A regression model is used to investigate the relationship between two or more variable and estimate one variable based on the others.
11. What is empty set?
Ans: The empty set is unique set having no elements its size or cardinality is zero.
12. What is sample?
Ans: Sample is a Portion of the elements of a Population Selected for direct measurement.
13. What is business statistics?
Ans: Business statistics is a science assisting us to make business decisions under uncertainties based on some numerical and measurable scale.
14. What is variable ?
Ans: The characteristic which varies over the units is called variable.
15. What is meant by classification?
Ans: Classification is the process of arranging some groups or class in relation with data as collected by proper investigation in definite, Characteristics, grouping of related TA facts into classes.
16. What is BBS?
Ans: The Bangladesh Bureau of statistics (BBS) is the centralized official bureau in bangladesh for collecting statistics on demoraphy the economy and other facts abut the country and disseminating the unformation.
17. What is central tendency.
Ans: Central tendency of clustering all the observations of a data set to a specific or central value is know as central tendency.
18. What is measures of central tendency?
Ans: The central value which measures the central tendency of a distribution is known as the measure of central tendency.
19. What is quartile?
Ans: The values that divide the variables of series into four equal parts that are called the quartile.
20. What is the relationship among AM, GM & HM?
Ans. AM 2 GM≥ HM.
21. Define Geometric Mean.
Ans: Geometric Mean is the root of the product of nth Variables.
22. What is Harmonic Mean?
Ans: Harmonic mean is the ratio between the number of items and the Sum of reciprocals of items.
23.What is weighted arithmetic mean?
Ans: When we calculated the arithmetic mean considering the weight of every observation, the mean is called the weighted arithmetic mean.
24.Define dispersion.
Ans: The distance of different values from the central value is called dispersion.
25.What is quartile deviation.
Ans. The deviation which is calculated on the basis of interquartile range of a distribution is called quartile deviation.
26.What is standard deviation?
Ans: Standard deviation is the positive square root of the arithmetic mean of the squares of the deviations of the given observation from their arithmetic mean.
27.What is range?
Ans. The range is defined as the difference between the largest value and the smallest value in the data.
28.What is price relative?
Ans: A relative price is the price of a commodity such a good or service in term of another the ratio of tworopes.
29.Give the concept of moments.
Ans: Moments can be defined as the arithmetic mean of various powers of deviations taken from the mean of a distribution. Actually it describes the various characteristics of frequency distribution.
30.What is kurtosis?
Ans. Kurtosis is the degree of peakedness or flatness of a distribution ùs ually taken relative to a normal distribution.
31.What is correlation?
Ans. The term “Correlation” mean the combination of two inter-relation between two or more variables are called correlation.
32.Why correlation is used?
Ans: “Correlation analysis attempts to determine the degree of relationship among .
33.What is meant by r = +1, r = -1 and r=0?
Ans. The value of r = +1, Means the perfect positive correlation. The value of r = -1, Means called perfect Negative correlation. The value of r = 0 Means Zero (0) correlation.
34.What is meant by multiple regression?
Ans: Multiple regression is a statistical uioprocess by which more then two variables are used to predit another variable.
35.What is parameters?
Ans: The values that desirable the characteristics of a population are called Parameters.
36.What is sampling error?
Ans. The error that arises due to drawing inference about a population based on sampling is known sampling error.
37.What is the range of 0,-2?
Ans: Range Highest value – lowest value =0-(-2=0+2=2).
38.Define joint probability.
Ans. The probability of two events occurring together is called joint probability.
39.What do you mean by mutually exclusive events?
Ans: Events that can not happen together is called mutually exclusive event.
40.What is probability?
Ans. Probability is the favorable specific ratio of occurring or not occurring of any event.
Part-B (Short Questions)
1. “Statistics is both a science and art.”-Explain. 100%
2. What are the essential requisites of a good measure of central tendency? 100%
3. Proof that A.MG. M≥ H.M 100%
4. Show the difference between skewness and kurtosis. 100%
5. The mean age of a combined group of men and women is 30 years. If mean age of the group of men is 32 and that of the group of women is 25, find out the percentage of men and women in the group. 100%
6. From the following information determine Median and Standard Deviation: 5, -3, 0, 12, 7, 9, 10, 2. 100%
7. Draw a sample of 3 units from a population of (2, 4, 6, 8). Write down samples. Show that variance mean of samples is equal to population variance. 100%
8. What is statistics? 100%
9. Write down the scope of statistics. 99%
10. Briefly discuss the nature of business statistics. 99%
11. When geometric mean is preferred to arithmetic mean. 99%
12. Difference between simple and weighted arithmetic mean. 99%
13. What do mean by geometric mean? Explain briefly with example. 99%
14. What do you mean by standard error? 99%
15. Write down the properties of standard deviation. 99%
C-Part (Compositional Questions)
1. (a) Describe the functions of statistics. 100%
(b ) Show the distinction between continuous variable and discrete variable. 100%
2. (a) What steps are followed in hypotheses testing? 100%
(b) In a sample of 1,000 persons from the village of Chatkhil, 660 are found to be consumers of rice and the rest consumers of wheat. Can it be concluded that both the food articles are equally popular? 100%
3. (a) What are the major assumption of ANOVA? 100%
(b) Describe the steps followed in analysis of variance. 100%
4. (a)State the use of regression analysis. 100%
(b) “Statistics is the main tool for the decision making of business”- Explain. 100%
5. (a) What is questionnaire? 100%
(b) Describe the qualities of good questionnaire. 100%
6. (a) Show the difference between inclusive class interval and exclusive class interval. 100%
(b) State the characteristics of an ideal frequency distribution. 100%
7. (a) What do mean by frequency distribution? Briefly explain with example. 100%
(b) What do you mean by measures of central tendency ? 100%
8. (a) What are the essential characteristics of an ideal average? Which measure of central tendency is the best? 100%
(b) Show the difference between histogram and historigram. 100%
9. (a) Mention the five features of central tendency. 99%
(b) What are the various measures of dispersion. 99%
10. (a) Mention the significance of measuring dispersion. 99%
(b) Why standard deviation is considered to be the best measure. 99%
11. (a) Briefly, explain measures of dispersion, with example. 99%
12. (a) Discuss the different types of correlation. 99%
(b) Distinguish between positive, negative and zero correlation. 99%
13. (a) What do you mean by causation? Briefly explain with example. 99%
(b) Definition of regression line. 99%
14. (a) What is regression co-efficient? 99%
(b) State some of the important properties of regression co-efficient. 99%
15.(a) Mention the elements of set theory. 99%
(b) Briefly explain the concept of probability with example. 99%
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