# INTRODUCTION TO STATISTICAL THEORY-I

1. Scores that differ greatly from the measures of central tendency are called:

a. Raw scores

b. Extreme scores

c. Z-scores

d. The best scores

2. The measure of central tendency listed below is:

a. The range

b. Standard deviation

c. The mean

d. The raw score

3. The total of all the observations divided by the number of observations is called:

a. Geometric mean

b. Median

c. Harmonic mean

d. Arithmetic mean

4. The scatter in a series of values about the average is called:

a. Skewness

b. Symmetry

c. Dispersion

d. Central tendency

5. If all the scores on examination cluster around the mean, the dispersion is said to be:

a. Small

b. Large

c. Normal

d. Symmetrical

6. If there are many extreme scores on all examination, the dispersion is:

a. Symmetric

b. Large

c. Small

d. Normal

7. If the arithmetic mean of the two numbers X1 and X2 is 5 if X1=3, then X2 is:

a. 10

b. 7

c. 3

d. 5

8. The arithmetic mean of 10 items is 4 and the arithmetic mean of 5 items is 10. The combined arithmetic mean is:

a. 15

b. 6

c. 4

d. 10

9. The measures of dispersion can never be:

a. Equal to 2

b. Positive

c. Negative

d. Zero

10. Change of origin and scale is used for calculation of the:

a. Arithmetic mean

b. Weighted mean

c. Geometric mean

d. Lower and upper quartiles

11. When the values in a series are not of equal importance, we calculate the:

a. Harmonic mean

b. Geometric mean

c. Arithmetic mean

d. Weighted mean

12. The sum of deviations is zero when deviations are taken from:

a. Median

b. Mode

c. Geometric mean

d. Mean

13. The degree to which numerical data tend to spread about an average value called:

a. Flatness

b. Constant

c. Variation

d. Skewness

14. The population mean μ is called:

a. Discrete variable

b. Continuous variable

c. Parameter

d. Sampling unit

15. A qualitative characteristic is called:

a. Attribute

b. Variable

c. Constant

d. Association

16. The range of the scores 29, 3, 143, 27, 99 is:

a. 146

b. 70

c. 140

d. 143

17. If an attribute has two classes, it is called:

a. Dichotomy

b. Mainfold classification

c. Trichotomy

d. Simple classification

18. The arithmetic mean is highly affected by:

a. Odd values

b. Extremely large values

c. Extremely small values

d. Moderate values

19. The average of squared deviations from mean is called:

a. Coefficient of variation

b. Variance

c. Mean deviation

d. Standard deviation

20. The total of all frequencies n is of order:

a. One

b. Two

c. three

d. Zero

21. In a Chi-square distribution no expected frequency should be:

a. Both (a) and (b)

b. Less than 5

c. More than 5

d. Equal to 5

22. A specific characteristic of a population is called:

a. Parameter

b. Statistic

c. Variable

d. Sample

23. If a constant value is added to every observation of data, then arithmetic mean is obtained

b. Dividing the constant

c. Subtracting the constant

d. Multiplying the constant

24. A specific characteristic of a sample is called:

a. Statistic

b. Parameter

c. Constant

d. Variable

25. A set of all units of interest in a study is called:

a. Population

b. Sample

c. Parameter

d. Statistic

26. If the maximum value in a series is 25 and its range is 15, the maximum value of the series is:

a. 35

b. 10

c. 15

d. 25

27. A number between 0 and 1 that is use to measure uncertainty is called

a. Probability

b. Simple event

c. Trial

d. Random variable

28. The probability of an event cannot be:

a. Greater than zero

b. Equal to zero

c. Less than zero

d. Equal to one

29. The elimination of extreme scores at the bottom of the set has the effect of:

a. None of the above

b. Lowering the mean

c. Raising the mean

d. No effect

30. The probability of all possible outcomes of a random experiment is always equal to:

a. Infinity

b. All of the above

c. One

d. Zero

31. Probability can be expressed as:

a. Ration

b. All of the above

c. Percentage

d. Fraction

32. The result of no interest of an experiment is called:

a. Event

b. Constant

c. Failure

d. Success

33. An arrangement of objects without regard to order is called:

a. Combination

b. Permutation

c. Sample point

d. Random experiment

34. The elimination of extreme scores at the top of the set has the effect of:

a. No effect

b. Difficult to tell

c. Lowering the mean

d. Raising the mean

35. A relationship where the flow of the data points is best represented by a curve is called:

a. Linear relationship

b. Linear positive

c. Linear negative

d. Nonlinear relationship

36. The predicted rate of response of the dependent variable to changes in the independent variable is called:

a. Error

b. Regression equation

c. Slope

d. Intercept

37. Ten families have an average of 2 boys. How many boys do they have together?

a. 12

b. 20

c. 2

d. 10

38. If the value of any regression coefficient is zero, then two variables are:

a. Qualitative

b. Independent

c. Dependent

d. Correlation

39. The dependent variable is also called:

a. Independent

b. Continuous variable

c. Regressand

d. Regression

40. The sum of the squares of the deviations of the values of a variable is least when the deviations are measured from:

a. Median

b. Geometric mean

c. Harmonic mean

d. Arithmetic mean

41. The independent variable in a regression line is:

a. Qualitative variable

b. None of the above

c. Non-random variable

d. Random variable

42. Step deviation method or coding method is used for computation of the:

a. Harmonic mean

b. Arithmetic mean

c. Geometric mean

d. Weighted mean

43. When bXY is positive, then byx will be:

a. Negative

b. Zero

c. One

d. Positive

44. If one regression coefficient is greater than one, then other will he:

a. Less than one

b. Equal to one

c. More than one

d. Equal to minus one

45. The sum of the squares fo the deviations about mean is:

a. Maximum

b. Zero

c. All of the above

d. Minimum

46. It is possible that two regression coefficients have:

a. Difficult to tell

b. Same signs

c. Opposite signs

d. No sign

47. If the arithmetic mean of 20 values is 10, then sum of these 20 values is:

a. 10

b. 200

c. 20 + 10

d. 20

48. If both variables X and Y increase or decrease simultaneously, then the coefficient of correlation will be:

a. Positive

b. Negative

c. Zero

d. One

49. If one item is fixed and unchangeable and the other item varies, the correlation coefficient will be:

a. Zero

b. Undecided

c. Negative

d. Positive