MCQ 22

26.   When the rates are expressed as x per y, and x is constant the harmonic mean is required, but if y is constant, the

A.      Geometric mean is required.

B.       Arithmetic mean is required.

C.       Mode is required.

D.      Median is required.

27.   When n/2 is not an integer, the median is

A.      {(n/2) +1}th observation.

B.       {(n+2) +1}th observation.

C.       {(n+1)/2}th observation.

D.      {(n-1)/2}th observation.

28.   When n/2 is an integer, the median is the average of

A.       (n/2)th and {(n/2)+1} th observation.

B.        (n/2)th and {(n/2)-1} th observation.

C.        (n/2)th and {(n+2)/2} th observation.

D.       (n/2)th and {(n-1)/2} th observation.

29.    For data grouped into a frequency distribution, the value or a point on the horizontal scale through which a vertical line divides the histogram of the distribution into two equal parts of equal area.

A.      Mode.

B.       Mean

C.       Median

D.      Harmonic mean.

30.    Median is that value on the horizontal scale which corresponds to a cumulative frequency

A.      n/4.

B.       n/3.

C.       n/2.

D.      n/5.

31.   Median is also known as

A.      Mixed value.

B.       Mean value.

C.       Between value.

D.      Partition value.

32.    The second quartile or the fifth decile or the fiftieth percentile is identical with the

A.      Mode.

B.       Median.

C.       Mean

D.     Geometric mean

33.   A set of data may have more than one mode or no mode at all when each observation

A.       Does not occur the same number of times.

B.        Occurs the same number of times.

C.        Cancels out each other.

D.       Is not clear.   

34.   The class that carries the highest frequency is called the

A.       Class frequency.

B.        Frequency class.

C.        Model class.

D.       Frequent class.

35.            When a frequency distribution is displayed as smooth curve, mode is

A.       Ordinate of the highest abscissa.

B.        Abscissa of the highest ordinate.

C.        Abscissa of the highest frequency.

D.       Ordinate of the highest frequency.

36.            When a frequency distribution has classes of unequal widths, the model class is the class with the maximum frequency per unit.

A.       The class that minimum frequency per unit.

B.        The class that with maximum frequency.

C.        The class with maximum frequency per unit.

D.       The minimax class.

37.             In a unimodel curve of moderate skewness the median is usually sandwiched between the

A.        Harmonic mean and geometric mean.

B.         Harmonic mean and arithmetic mean.

C.         Geometric mean and arithmetic mean.

D.        Mean and mode.

38.            In a unimodel curve of moderate skewness the following relation holds good.

A.       Mode= 2Median - 3Mean.

B.        Mode= 3Mean - 2Medain.

C.        Mode=3Meadian - 2Mean.

D.       Mode= 2Mean - 3Median.

39.            The empirical relation “Mode=3Meadian - 2Mean” holds in case of a   J –shaped or extremely skewed distribution.

A.      True.

B.       False.

C.       Sometimes true.

D.      Sometimes false.

40.            In a highly skewed distribution, the mean is not an appropriate measure of average but

A.      Mode.

B.       G.M.

C.       H.M.

D.      Median.

41.             G.M and H.M vanishes if any observation is

A.      1.

B.       Zero.

C.       Less than 10.

D.      Less than zero

42.            G.M and H.M are not much affected by

A.      Adding zero.

B.       Multiplying   -1.

C.       Sampling variability.

D.      Multiplying zero.

43.            G.M and H.M are

A.     Easily understood.

B.      Not easily understood.

C.      Interchangeable.

D.     Simple.

44.             Can be determined for both the quantitative data and the qualitative data.

A.     Median.

B.      Mean.

C.      Mode.

D.     G.M.

45.            A.M, G.M and H.M are

A.     Rigorously defined by a mathematical formula.

B.      Not rigorously defined by a mathematical formula.

C.      Formula less.

D.     Identical.

46.            A.M, G.M and H.M are

A.     Not based on all the observation in the data.

B.      Based on all the observation in the data.

C.      Not mathematically treatable.

D.     Not clear.

47.             Can compute even when a frequency distribution involves open end classes, like those of income and prices.

A.     Mean.

B.      Median.

C.      Mode.

D.     H.M.

48.            Does not adequately describe the data. It is because, it is quite possible that two or more sets of data may have same average (mean,median,mode) but their individual observations may differ considerably from the average.

A.      A value of variance.

B.       A value of standard deviation.

C.       A value of central tendency.

D.      A value of point.

49.             The extent to which the observations in a sample or in a population vary about their mean.

A.      Mode.

B.       Dispersion.

C.       G.M.

D.      Median.

50.             Dispersion is zero when all the observations are

A.      Zero.

B.       Not equal.

C.       Equal.

D.      Not clear.

26	B	27	C	28	A	29	C	30	C
31	D	32	B	33	B	34	C	35	B
36	C	37	D	38	C	39	B	40	D
41	B	42	C	43	B	44	C	45	A
46	B	47	B	48	C	49	B	50	C