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Statistics Test - 3

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Weekly Quiz Competition
  • Question 1
    1 / -0
    The sum of the squares of deviations of a set of values is minimum when taken about:
  • Question 2
    1 / -0

    The mean of 5 observations is 4.4. If three observations are 1,2 and 6 and the difference of the other two is 5, then the other two observations are:


    Solution

    Let other two numbers be x and y 

    Mean (x) = 4.4 = (1+2+6+x+y)/5

    this gives (x+y)=13......(1) 

    Also,       (x−y)=5 ........(2) 

    Therefore from (1) and (2)

     x = 9 and  y = 4              

  • Question 3
    1 / -0
    The variance of numbers 3, 7, 10, 18 and 22 is equal to
  • Question 4
    1 / -0

    If the angle between two lines of regression is 900 , then it represents

    Solution

    {(23.PNG

    )}

    hence r = 0, therefore there is no linear correlation.

  • Question 5
    1 / -0
    Which of the following statements is/are correct?

    (i) Mode can be computed from histogram
    (ii) Median is not independent of change of scale
    (iii) Variance is independent of change of scale
  • Question 6
    1 / -0

    A batsman scores runs in 10 innings as 38,70,48,34,42,55,63,46,54 and 44 , then the mean score is

    Solution

    Mean (x) = (38+70+48+34+42+55+63+46+54+44)/10

                   = 494/10

                   = 49.4

  • Question 7
    1 / -0
    If the mean of the first n natural numbers is equal to , then n is equal to
  • Question 8
    1 / -0
    Mean of first n odd natural numbers is
  • Question 9
    1 / -0
    The average marks of boys in a class are 52 and those of girls are 42. The average marks of boys and girls combined are 50. The percentage of boys in the class is
  • Question 10
    1 / -0
    For symmetric distribution, which of the following should be true?
  • Question 11
    1 / -0
    The average monthly salary of workers in a factory is Rs. 206. If the average monthly salaries of males and females respectively are Rs. 210 and Rs. 190, then the percentage of females employed in the factory is
  • Question 12
    1 / -0
    If the standard deviation of 1, 2, 3, 4, & ..,10 is s, then the standard deviation of 11, 12, 13, 14, & ..20 is
  • Question 13
    1 / -0
    The quartile deviation of the following items 12, 7, 15, 10, 16, 17, 25 is
  • Question 14
    1 / -0
    Which of the following is a measure of central tendency?
  • Question 15
    1 / -0
    If the variance of a data is V, then its standard deviation is
  • Question 16
    1 / -0
    Find the mean of cubes of the first 'n' natural numbers.
  • Question 17
    1 / -0
    For the following data, the mean of x is found to be 7.3. The missing frequency is

  • Question 18
    1 / -0
    The most stable measure of central tendency is:
  • Question 19
    1 / -0

    The two lines of regression are x + 4y = 3 and 3x +y = 15 . value of x for y = 3 is


    Solution

    we have x + 4y = 3 and 3x + y = 15 as the lines of regression of y on x and x on y respectively. 

    therfore, for y = 3 the required line is x on y

    so put y= 3 in 3x + y = 15

    we get, x = 4

  • Question 20
    1 / -0
    What is the relationship between mean, median and mode for a moderately skewed distribution?
  • Question 21
    1 / -0

    For a moderately skewed distribution, quartile deviation and the standard deviation are related by

    Solution

    its a standard result

  • Question 22
    1 / -0
    The mean of 50 observations is 36. If two observations 30 and 42 are deleted, then the mean of the remaining observations is
  • Question 23
    1 / -0
    You are collecting data from newspapers and magazines about price fluctuations of a branded product. What type of data are you referring to?
  • Question 24
    1 / -0
    If r is the correlation coefficient, then
  • Question 25
    1 / -0
    The AM of n numbers of a series is . If the sum of first (n - 1) terms is k, then the nth number is
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