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Mcq (test), Study notes of Social Statistics and Data Analysis

Allama Iqbal Open University (AIOU)Social Statistics and Data Analysis

basic statistics Mcqs

Typology: Study notes

2014/2015

Uploaded on 04/19/2015

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1. Any measure indicating the centre of a set of data, arranged in an increasing or decreasing
order of magnitude, is called a measure of:
a. Skewness
b. Symmetry
c. Central tendency
d. Dispersion
2. The measure of central tendency listed below is:
a. The raw score
b. The mean
c. The range
d. Standard deviation
3. The total of all the observations divided by the number of observations is called:
a. Arithmetic mean
b. Geometric mean
c. Median
d. Harmonic mean
4. While computing the arithmetic mean of a frequency distribution, the each value of a class is
considered equal to:
a. Class mark
b. Lower limit
c. Upper limit
d. Lower class boundary
5. Change of origin and scale is used for calculation of the:
a. Arithmetic mean
b. Geometric mean
c. Weighted mean
d. Lower and upper quartiles
6. The sample mean is a:
a. Parameter
b. Statistic
c. Variable
d. Constant
7. The population mean µ is called:
a. Discrete variable
b. Continuous variable
c. Parameter
d. Sampling unit
8. The arithmetic mean is highly affected by:
a. Moderate values
b. Extremely small values
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  1. Any measure indicating the centre of a set of data, arranged in an increasing or decreasing order of magnitude, is called a measure of: a. Skewness b. Symmetry c. Central tendency d. Dispersion
  2. The measure of central tendency listed below is: a. The raw score b. The mean c. The range d. Standard deviation
  3. The total of all the observations divided by the number of observations is called: a. Arithmetic mean b. Geometric mean c. Median d. Harmonic mean
  4. While computing the arithmetic mean of a frequency distribution, the each value of a class is considered equal to: a. Class mark b. Lower limit c. Upper limit d. Lower class boundary
  5. Change of origin and scale is used for calculation of the: a. Arithmetic mean b. Geometric mean c. Weighted mean d. Lower and upper quartiles
  6. The sample mean is a: a. Parameter b. Statistic c. Variable d. Constant
  7. The population mean μ is called: a. Discrete variable b. Continuous variable c. Parameter d. Sampling unit
  8. The arithmetic mean is highly affected by: a. Moderate values b. Extremely small values

c. Odd values d. Extremely large values

  1. If a constant value is added to every observation of data, then arithmetic mean is obtained by: a. Subtracting the constant b. Adding the constant c. Multiplying the constant d. Dividing the constant
  2. Which of the following statements is always true? a. The mean has an effect on extreme scores b. The median has an effect on extreme scores c. Extreme scores have an effect on the mean d. Extreme scores have an effect on the median
  3. The elimination of extreme scores at the bottom of the set has the effect of: a. Lowering the mean b. Raising the mean c. No effect d. None of the above
  4. The elimination of extreme scores at the top of the set has the effect of: a. Lowering the mean b. Raising the mean c. No effect d. Difficult to tell
  5. The sum of deviations taken from mean is: a. Always equal to zero b. Some times equal to zero c. Never equal to zero d. Less than zero
  6. If = 25, which of the following will be minimum: a. ∑(X – 27)^2 b. ∑(X – 25) 2 c. ∑(X – 22) 2 d. ∑(X + 25) 2
  7. The sum of the squares fo the deviations about mean is: a. Zero b. Maximum c. Minimum d. All of the above
  8. If , then sample mean is a. 10 b. 50
  1. If the arithmetic mean of the two numbers X1 and X2 is 5 if X1=3, then X2 is: a. 3 b. 5 c. 7 d. 10
  2. Given X1=20 and X2= -20. The arithmetic mean will be: a. Zero b. Infinity c. Impossible d. Difficult to tell
  3. The sample mean of first n natural numbers is: a. n(n+ 1) / 2 b. (n+ 1) / 2 c. n/ d. (n+ 1) / 2
  4. The mean of first 2n natural numbers is: a. n(n+ 1) / 2 b. n(2n+ 1) / 2 c. (2n+1)/ d. (n+ 1) / 2
  5. The sum of deviations is zero when deviations are taken from: a. Mean b. Median c. Mode d. Geometric mean
  6. When the values in a series are not of equal importance, we calculate the: a. Arithmetic mean b. Geometric mean c. Weighted mean d. Mode
  7. When all the values in a series occur the equal number of times, then it is not possible to calculate the: a. Arithmetic mean b. Geometric mean c. Harmonic mean d. Weighted mean
  8. The mean for a set of data obtained by assigning each data value a weight that reflects its relative importance within the set, is called: a. Geometric mean b. Harmonic mean

c. Weighted mean d. Combined mean

  1. The arithmetic mean of 10 items is 4 and the arithmetic mean of 5 items is 10. The combined arithmetic mean is: a. 4 b. 5 c. 6 d. 90
  2. The midpoint of the values after they have been ordered from the smallest to the largest or the largest to the smallest is called: a. Mean b. Median c. Lower quartile d. Upper quartile
  3. The first step in calculating the median of a discrete variable is to determine the: a. Cumulative frequencies b. Relative weights c. Relative frequencies d. Array
  4. The suitable average for qualitative data is: a. Mean b. Median c. Mode d. Geometric mean
  5. Extreme scores will have the following effect on the median of an examination: a. They may have no effect on it b. They may tend to raise it c. They may tend to lower it d. None of the above
  6. We must arrange the data before calculating: a. Mean b. Median c. Mode d. Geometric mean
  7. If the smallest observation in a data is decreased, the average which is not affected is: a. Mode b. Median c. Mean d. Harmonic mean
  8. If the data contains an extreme value, the suitable average is:

c. Mode d. Percentile

  1. Which of the following average cannot be calculated for the observations 2, 2, 4, 4, 6, 6, 8, 8, 10, 10? a. Mean b. Median c. Mode d. All of the above
  2. Mode of the series 0, 0, 0, 2, 2, 3, 3, 8, 10 is: a. 0 b. 2 c. 3 d. No mode
  3. A distribution with two modes is called: a. Unimodel b. Bimodal c. Multimodal d. Normal
  4. The model letter of the word “STATISTICS” is: a. S b. T c. Both S and I d. Both S and T
  5. The mode for the following frequency distribution is: Weekly sales of burner units 0 1 2 3 Over 3 Number of weeks 38 6 5 1 0 a. 0 b. 2 c. 3 d. No mode
  6. Which of the following statements is always correct? a. Mean = Median = Mode b. Arithmetic mean = Geometric mean = Harmonic mean c. Median = Q2 = D5 = P d. Mode = 2Median - 3Mean
  7. In a moderately skewed distribution, Mean = 45 and Median = 30, then the value of mode is: a. 0 b. 30 c. 45 d. 180
  1. If for any frequency distribution, the median is 10 and the mode is 30, then approximate value of mean is equal to: a. 0 b. 10 c. 30 d. 60
  2. In a moderately asymmetrical distribution, the value of mean and mode is 15 and 18 respectively. The value of median will be: a. 48 b. 18 c. 16 d. 15
  3. Which of the following is correct in a positively skewed distribution? a. Mean = Median = Mode b. Mean < Median < Mode c. Mean > Median > Mode d. Mean + Median + Mode
  4. If the values of mean, median and mode coincide in a unimodel distribution, then the distribution will be: a. Skewed to the left b. Skewed to the right c. Multimodal d. Symmetrical
  5. A curve that tails off to the right end is called: a. Positively skewed b. Negatively skewed c. Symmetrical d. Both (b) and (c)
  6. The sum of the deviations taken from mean is: a. Always equal to zero b. Some times equal to zero c. Never equal to zero d. Less than zero
  7. If a set of data has one mode and its value is less than mean, then the distribution is called: a. Positively skewed b. Negatively skewed c. Symmetrical d. Normal
  8. Taking the relevant root of the product of all non-zero and positive values are called a. Arithmetic mean

a. Small values b. Large values c. Positive values d. Negative values

  1. If all the items in a variable are non zero and non negative then: a. A.M > G.M > H.M b. G.M > A.M > H.M c. H.M > G.M > A.M d. A.M < G.M < H.M
  2. If the arithmetic mean and harmonic mean of two positive numbers are 4 and 16, then their geometric mean will be: a. 4 b. 8 c. 16 d. 64
  3. If all the values in a series are same, then: a. A.M = G.M = H.M b. A.M ≠ G.M ≠ H.M c. A.M > G.M > H.M d. A.M < G.M < H.M
  4. The averages are affected by change of: a. Origin b. Scale c. Both (a) and (b) d. None of the above
  5. The shape of the binomial probability distribution depends upon the values of its: a. Mean b. Variance c. Parameters d. Quartiles
  6. In binomial distribution the number of trials are: a. Very large b. Very small c. Fixed d. Not fixed
  7. In a binomial probability distribution, relation between mean and variance is: a. mean < variance b. mean = variance c. mean > variance d. Difficult to tell
  8. In binomial distribution when n = 1, then it becomes: a. Hyper geometric distribution

b. Normal distribution c. Uniform distribution d. Bernoulli distribution

  1. The mean of a binomial distribution depends on: a. Number of trials b. Probability of success c. Probability of failure d. Number of trials and probability of success
  2. The variance of a binomial distribution depends on: a. Number of trials b. Probability of success c. Probability of failure d. All of the above.
  3. If n = 10 and p = 0.6, then P( X > 0 ) is: a. 0. b. 0. c. 1. d. 1.
  4. A random variable X has a binomial distribution with n = 4, the standard deviation of X is: a. 4 p q b. 2 c. 4 p d. 4 ( q + p)
  5. In a multiple choice test there are five possible answers to each of 20 questions. If a candidate guesses the correct answer each time, the mean number of correct answers is: a. 4 b. 5 c. 1 / 5 d. 20
  6. A random variable X has binomial distribution with E ( X ) = 2.4 and p = 0.3. Find the standard deviation of X. a. 0. b. 0. c. 1. d. 0
  7. In hyper geometric probability distribution, the relation between mean and variance is: a. mean > variance b. mean < variance c. mean = variance d. mean = 2 variance
  8. Which of the following is the property of hyper geometric experiment? a. p remains constant from trial to trial b. Successive trials are independent c. Sampling is performed without replacement d. n is not fixed
  9. Hyper geometric distribution reduces to binomial distribution when: