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Question for Kerala SET Statistics - Quiz / Questions / MCQ in English

Last Update on : October 11, 2026

Duration: 120 · Questions: 120 · Max Marks: 120

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To boost your performance in Kerala SET Statistics exam, practice each question regularly and with focus. Every question tests your subject understanding, so solve them one at a time. Taking a quiz improves your speed and accuracy. Practicing topic-wise MCQs. Students benefit greatly from reviewing questions with answer keys, which help clarify concepts and strengthen Questions knowledge for success in Kerala SET Statistics exams.

Latest Kerala SET Statistics Exam Question (Objective Questions), MCQ in English

Subjects : Statistics

Question Bank Kerala SET Statistics Exam - English

Statistics

Q 1 :
If x and y are related by x – y – 10 = 0 and mode of x is known to be 23, then the mode of y is :
  1. A.20
  2. B.13
  3. C.3
  4. D.23
Q 2 :
A man travels at a speed of 20 km/hr and then returns at a speed of 30 km/hr. His average speed of the whole journey is
  1. A.25 km/hr
  2. B.24.5 km/hr
  3. C.24 km/hr
  4. D.None
Q 3 :
A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later discovered that he had wrongly copied down an observation as 50 instead of 40. The correct standard deviation is
  1. A.5
  2. B.6
  3. C.3
  4. D.7
Q 4 :
For a moderately skewed distribution, quartile deviation and the standard deviation are related by
    Q 5 :
    The median of the data 13, 8, 11, 6, 4, 15, 2, 18 is
    1. A.5
    2. B.8
    3. C.11
    4. D.9.5
    Q 6 :
    The sum of the squares of deviations of a set of observations has the smallest value; when the deviations are taken from their
    1. A.A.M.
    2. B.H. M.
    3. C.G. M.
    4. D.None
    Q 7 :
    If two samples of sizes 30 and 20 have means as 55 and 60 and variances as 16 and 25 respectively, then what would be the S.D. of the combined sample size 50 ?
    1. A.5.33
    2. B.5.17
    3. C.5.06
    4. D.5
    Q 8 :
    If two variables x & y are related by 2x + 3y –7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the coefficient of mean deviation of y about mean is
    1. A.–5
    2. B.4
    3. C.12
    4. D.50
    Q 9 :
    Which of the following result hold for a set of distinct positive observations ?
    1. A.A.M > G.M > H.M
    2. B.G.M. > A.M. > H.M
    3. C.G.M > A.M > H.M
    4. D.A.M > G.M > H.M
    Q 10 :
    Measures of dispersion are called averages of the ____ order .
    1. A.1st
    2. B.2nd
    3. C.3rd
    4. D.None
    Q 11 :
    For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is –11 cm and the sum of the squares of these deviations is 257 cm. The coefficient of variation is :
    1. A.41.13%
    2. B.42.13%
    3. C.0.13%
    4. D.None
    Q 12 :
    If the AM and HM for two numbers are 5 and 3.2 respectively, then the GM will be
    1. A.4.05
    2. B.16
    3. C.4
    4. D.4.10
    Q 13 :
    ________ are used for measuring central tendency, dispersion and skewness
    1. A.Median
    2. B.Deciles
    3. C.Percentiles
    4. D.Quartiles
    Q 14 :
    Which of the following companies A or B is more consistent so far as the payment of dividend is concerned ?
    Dividend paid by A : 5 9 6 12 15 10 8 10
    Dividend paid by B : 4 8 7 15 18  9  6  6
    1. A.A
    2. B.B
    3. C.Both A & B
    4. D.Neither A nor B
    Q 15 :
    What is the coefficient of range for the following distribution ?
    Class Interval : 10-19 20-29 30-39 40-49 50-59
    Frequency :         11      25      16       7       3
    1. A.22
    2. B.50
    3. C.75.82
    4. D.72.46
    Q 16 :
    An aeroplane flies from A to B at the rate of 500 km/hr and comes back from B to A at the rate of 700 km/hr. The average speed of the aeroplane is
    1. A.600 km/hr
    2. B.583.33 km/hr
    3. D.620 km/hr
    Q 17 :
    For a moderately skewed distribution, which of the following relationship holds ?
    1. A.Mean – Median = 3 (Median – Mode)
    2. B.Median – Mode = 3 (Mean – Median)
    3. C.Mean – Mode = 3 (Mean – Median)
    4. D.Mean – Median = 3 (Mean – Mode)
    Q 18 :
    ___ & ___ are called ratio averages :
    1. A.HM & GM
    2. B.HM & AM
    3. C.AM & GM
    4. D.None
    Q 19 :
    A sample of 35 observations has the mean 80 and S.D. as 4. A second sample of 65 observations from the same population has mean 70 and S.D. 3. The S.D. of the combined sample is :
    1. A.5.85
    2. B.5.58
    3. C.10.23
    4. D.None of these
    Q 20 :
    If x and y are related as 3x – 4y = 20 and the quartile deviation of x is 12, then the quartile deviation of y is
    1. A.14
    2. B.15
    3. C.16
    4. D.9
    Q 21 :
    Extreme values have ____ effect on mode .
    1. A.High
    2. B.low
    3. C.No
    4. D.None of these
    Q 22 :
    The mean salary for a group of 40 female workers is Rs. 5,200 per month and that for a group of 60 male workers is Rs. 6,800 per month. What is the combined salary ?
    1. A.Rs. 6,160
    2. B.Rs. 6,280
    3. C.Rs. 6,890
    4. D.Rs. 6,920
    Q 23 :
    The best measure of dispersion is
    1. A.Q.D.
    2. B.M.D.
    3. C.Range
    4. D.S.D.
    Q 24 :
    If the mean and S.D. of x are a and b respectively, then the S.D. of â€‹ is :
    1. A.a/b
    2. B.–1
    3. C.1
    4. D.ab
    Q 25 :
    Suppose a population A has 100 observations 101, 102, 103, ...., 200 and another population B has 100 observations 151, 152, 153, ....., 250. If VA and VB represents the variance of the two populations respectively, then VA/ VB =
    1. A.9/4
    2. B.1
    3. C.4/9
    4. D.2/3
    Q 26 :
    If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observations then the combined H.M. is given by :
    1. A.70
    2. B.80
    3. C.70.35
    4. D.69.48
    Q 27 :
    The G.M. of 4, 6 and 8 is
    1. A.4.17
    2. B.5.32
    3. C.6.14
    4. D.5.77
    Q 28 :
    The Mean and S.D. for group of 100 observations are 65 and 7.03 respectively. If 60 of these observations have mean and S.D. as 70 and 3 respectively, what is the S.D. for the group comprising 40 observations ?
    1. A.2.03
    2. B.4.03
    3. C.8.03
    4. D.9.33
    Q 29 :
    The Quartile deviation for the date is
    x : 2 3 4 5 6
    y : 3 4 8 4 1
    1. A.1/4
    2. B.1/2
    3. C.1
    4. D.0
    Q 30 :
    If X and Y are two random variables then v(x + y) is
    1. A.v(x) + v(y)
    2. B.v(x) + v(y) – 2v(x, y)
    3. C.v(x) + v(y) + 2v(x, y)
    4. D.v(x) – v(y)
    Q 31 :
    G.M is a better measure than others when,
    1. A.ratios and percentages are given
    2. B.interval of scale is given
    3. C.Both (a) and (b)
    4. D.Either (a) or (b)
    Q 32 :
    Mean and S.D. of x is 50 and 5 respectively. Find mean and S.D. of â€‹ .
    1. A.(1, 0)
    2. B.(0, 1)
    3. C.(1, 1)
    4. D.(0, –1)
    Q 33 :
    Mean and S.D. of a given set of observations is 1,500 and 400 respectively. If there is an increment of 100 in the first year and each observation is hiked by 20% in 2nd years, then find new mean and S.D.
    1. A.1920, 480
    2. B.1920, 580
    3. C.1600, 480
    4. D.1600, 400
    Q 34 :
    If 5 is subtracted from each observation of some certain item then its coefficient of variation is 10% and if 5 is added to each item then its, coefficient of variation is 6%. Find original coefficient of variation
    1. A.8 %
    2. B.7.5 %
    3. C.4 %
    4. D.None of these
    Q 35 :
    The median of x, â€‹ is 10. Find x where x > 0 .
    1. A.24
    2. B.32
    3. C.8
    4. D.16
    Q 36 :
    The average salary of 50 men was Rs. 80 but it was found that salary of 2 of them were Rs. 46 and Rs. 28 which was wrongly taken as Rs. 64 and Rs. 82. The revised average salary is :
    1. A.Rs. 80
    2. B.Rs. 78.56
    3. C.Rs. 85.26
    4. D.Rs. 82.92
    Q 37 :
    Inter Quartile Range is _____ of Quartile Deviation .
    1. A.Half
    2. B.Double
    3. C.Triple
    4. D.Equal
    Q 38 :
    The sum of squares of deviation from mean of 10 observations is 250. Mean of the data is 10. Find the coefficient of variation .
    1. A.10 %
    2. B.25 %
    3. C.50 %
    4. D.0 %
    Q 39 :
    If A be the A.M. of two positive unequal quantities X and Y and G be their G.M., then ;
    1. A.A < G
    2. B.A > G
    3. C.A < G
    4. D.A > G
    Q 40 :
    When mean is 3.57 and mode is 2.13 then the value of median is
    1. A.3.09
    2. B.5.01
    3. C.4.01
    4. D.None of these
    Q 41 :
    If L1 = highest observation and L2 = smallest observation, then Coefficient of Range =
      Q 42 :
      The equation of a line is 5x + 2y = 17, Mean deviation of y about mean is 5. Calculate mean deviation of x about mean .
      1. A.–2
      2. B.2
      3. C.–4
      4. D.None
      Q 43 :
      If variance of x is 5, then find the variance of (2 – 3x)
      1. A.10
      2. B.15
      3. C.5
      4. D.– 13
      Q 44 :
      The harmonic mean of 1, 1/2, 1/3 ... 1/n is
      1. A.1 / (n + 1)
      2. B.2 / (n + 1)
      3. C.(n + 1) / 2
      4. D.1 / (n – 1)
      Q 45 :
      The mean weight of 15 students is 110 kg. The mean weight of 5 of them is 100 kg. and of another five students is 125 kg. then the mean weight of the remaining students is
      1. A.120
      2. B.105
      3. C.115
      4. D.None of these
      Q 46 :
      In a class of 11 students, 3 students were failed in a test. 8 students who passed secured 10, 11, 20, 15, 12, 14, 26 and 24 marks respectively. What will be the median marks of the students
      1. A.12
      2. B.15
      3. C.13
      4. D.13.5
      Q 47 :
      The variance of data : 3, 4, 5, 8 is
      1. A.4.5
      2. B.3.5
      3. C.5.5
      4. D.6.5
      Q 48 :
      A lady travel at a speed of 20 km/h and returned at quicker speed. If her average speed of the whole journey is 24 km/h, find the speed of return journey (in km/h)
      1. A.25
      2. B.30
      3. C.35
      4. D.38
      Q 49 :
      Let the mean of the variable 'x' be 50, then the mean of u = 10 + 5x will be
      1. A.250
      2. B.260
      3. C.265
      4. D.273
      Q 50 :
      Given the observations 4, 9, 11, 14, 37. The Mean deviation about the Median is
      1. A.11
      2. B.8.5
      3. C.7.6
      4. D.7.45

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