CBSE Class 11 Measures of Dispersion MCQs Set B

Question: The average daily wage of 100 workers in a shipyard was Rs. 200, with a standard deviation of 40. Now, if each worker gets an increment of 20% in their wages, how will it affect the mean wage?
a) The mean wage will remain unchanged
b) The mean wage will be increased by 20%
c) The mean wage will be Rs. 240
d) Both The mean wage will be increased by 20% and The mean wage will be Rs. 240
Answer: d

Question: The measure of dispersion which is expressed in terms of the nits of observations
a) Absolute measure
b) Variance
c) Relative measure
d) None of the options
Answer: a

Question: Which of the following cannot be calculated for open-ended distributions?
a) Standard deviation
b) Mean deviation
c) Range
d) None of the options
Answer: b

Question: Study of scatteredness of observations is known as
a) Standard deviation
b) Measure of dispersion
c) Measure of central tendency
d) None of the options
Answer: b

Question: The measures of dispersion can never be
a) Positive
b) Zero
c) Negative
d) Equal to
Answer: c

Question: Which of the following methods is useful to calculate standard deviation when the mean is in the whole number.
a) Direct method
b) Short cut method
c) Step deviation method
d) All of the options
Answer: d

Question: The measure of dispersion which is expressed in terms of the units of the observations I called________Absolute measure
a) Variance
b) Relative measure
c) None of the options
d) All of the options
Answer: a

Question: Lowest value of variance can be?
a) 1
b) -1
c) 3
d) 0
Answer: d

Question: Mean deviation, Variance and Standard Deviation of the values 4,4,4,4,4,4 is?
a) 4
b) 8
c) 2
d) 0
Answer: d

Read the Statement given below and choose the correct alternative.

Question:
Statement 1- Standard deviation method of dispersion is very difficult to calculate
Statement 2- Standard deviation method of dispersion gives more importance to extreme values
a) Both are correct
b) Both are incorrect
c) Statement 1 is correct and statement 2 is incorrect
d) Statement 1 is incorrect and statement 2 is correct
Answer: a

Question:
Assertion- Lorenz Curve has spread to measure disparity of distribution.
Reason – Lorenz Curve is applied to measure distribution of income and wealth.
a) Both Assertion and reason are true. Reason is the correct explanation of assertion
b) Both Assertion and reason are true. Reason is not the correct explanation of assertion
c) Assertion is true but reason is not
d) Reason is true but assertion is not
Answer: b