CBSE Class 11 Economics VBQs Measures of Central Tendency

Multiple Choice Questions

Question. Median is always a number present in the same series. Choose from options below.
(a) True
(b) False
(c) Partially true
(d) Incomplete statement
Answer : B

Question. By observation method, mode value will lie in which class interval from the given below?

(a) 10-20
(b) 20-30
(c) 30-40
(d) None of the above
Answer :C

Question. Which of the following is true about central tendency?
(a) Mode = 2 Median −Mean
(b) Mode = 3 Median −Mean
(c) Mode = 3 Median − 2 Mean
(d) Mode = 2 Median − 3 Mean
Answer : C

Question. Write the correct pair

Codes
(a) A-(i)
(b) B-(ii)
(c) C-(iii)
(d) None of these
Answer : C

Question. Sum of deviations taken from actual mean is always equal to
(a) sum of frequency
(b) arithmetic mean
(c) zero
(d) maximum
Answer : C

Question. Write the correct pair.

Codes
(a) A-(i)
(b) B-(ii)
(c) C-(iii)
(d) D-(iv)
Answer : A

Question. A series need to be arranged in either ascending or descending order for calculating which of the following?
(a) Median
(b) Quartiles
(c) Mode
(d) Both (a) and (b)
Answer : D

Question. The mode of the series 3, 4, 8, 7, 7, 8, 9 will be
(a) 8
(b) 7
(c) Both (a) and (b)
(d) 9
Answer : C

Question. Arithmetic mean of 5 observations Y, Y+2, Y+4, Y+6, Y+8 is 11. What is the value of Y?
(a) 4
(b) 5
(c) 6
(d) 7
Answer : D

Question. Identify the correct statement from the given below.
(a) If all the items of a series increase by 5, standard deviation will also increase by 5.
(b) Arithmetic mean cannot be calculated for open ended series.
(c) Lower quartile represents highest value of lowest 25%items of the series.
(d) There can be more than one median in a statistical distribution.
Answer : C

Question. Calculation of arithmetic mean for an inclusive frequency distribution is the same as in case of exclusive frequency distribution. The given statement is
(a) True
(b) False
(c) Partially true
(d) Incomplete statement
Answer : A

Question. What will be the median of the following series? 2, 3, 4, 8, 7, 12, 10, 11
(a) 7
(b) 7.5
(c) 8
(d) 8.5
Answer : B

Question. Which of the following central tendency can be located using histogram?
(i) Median
(ii) Quartiles
(iii) Mode 
Choose from the options below.
(a) Only (i)
(b) (ii) and (iii)
(c) Only (iii)
(d) (i), (ii) and (iii)
Answer : C

Question. Arithmetic mean is free from change of origin. Choose from the options below.
(a) True
(b) False
(c) Partially true
(d) Incomplete statement
Answer : A

Question. Choose the correct statement from given below.
(a) Quartiles are positional averages of central tendency
(b) Median can only be located graphically using ‘more than’ cumulative frequency distribution
(c) Mode of a distribution is the value at the point around which the items tend to be most heavily concentrated
(d) All of the above are correct
Answer : C

Question. Quartile group is decided in continuous series by using the following formula
(a) (N/4)th term
(b) 3 (N/4)th term
(c) [(N+1)/ 4]th term
(d) Both (a) and (b)
Answer : D

Question. Given the mean value of X variable as 50. What will be the mean value of Y variable in the given equation Y = 200 – 2X.
(a) 0
(b) 50
(c) 100
(d) 200
Answer : C

Question. Which of the following is known as partition values?
(a) Median
(b) Quartiles
(c) Mode
(d) None of these
Answer : B

Question. 5 is the mode of the numbers 2, 4, 3, 5, 5, 3, 2. Choose from the options below.
(a) True
(b) False
(c) Partially true
(d) Incomplete statement
Answer : B

Question. Quartile of a series is based on which of the following?
(a) Middle 50%items of the series
(b) Upper 25%items of the series
(c) Lower 25%items of the series
(d) All the items of the series
Answer : A

Question. Which of the following are correct for a symmetrical distribution?
(a) Mean > Median > Mode
(b) Median > Mode > Mean
(c) Mean = Median = Mode
(d) Mode > Median > Mean
Answer : C

Question. A frequency distribution can have
(a) two means
(b) two medians
(c) two modes
(d) None of these
Answer : C

Question. Which of the following is/are not a positional average?
(a) Mean
(b) Median
(c) Mode
(d) None of these
Answer : A

Question. Write the correct pair.

Codes
(a) A-(i)
(b) B-(ii)
(c) C-(iii)
(d) None of these
Answer : A

Assertion-Reasoning MCQs

Direction (Q.Nos. 74 to 80) There are two statements marked as Assertion (A) and Reason (R). Read the statements and choose the appropriate option from the options given below
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A)
(c) Assertion (A) is false, but Reason (R) is true
(d) Both are false

Question. Assertion (A) Arithmetic mean is a positional average, which can be calculated using graphical presentation methods.
Reason (R) Histograms and cumulative graphs are used to locate positional averages.
Answer : C

Question. Assertion (A) Sum of deviations taken from actual mean is always zero for a symmetrical distribution.
Reason (R) Sum of deviations from assumed mean is equal to zero when actual mean coincides with assumed mean.
Answer : B

Question. Assertion (A) Median is not dependent on all the data values in a dataset.
Reason (R) The distance between the median and the rest of the values is less than the distance from any other point.
Answer :B

Question. Assertion (A) Arithmetic mean reduces the sampling fluctuations in both symmetric and asymmetric distribution.
Reason (R) Arithmetic mean is a representative of the whole set of observations.
Answer : A

Question. Assertion (A) The sum of deviations taken from their mean is always zero.
Reason (R) For a symmetrical distribution, all the three measures of central tendency are equal to each other.
Answer : B

Question. Assertion (A) Mode of a distribution is the value at the point around which the items tend to be most heavily concentrated.
Reason (R) Median can only be located graphically using ‘more than’ cumulative frequency distribution.
Answer : B

Question. Assertion (A) Median can be located from less than ogive by taking half of total number of items in the series.
Reason (R) Quartiles are one-fourth and three-fourth of total number of items given in a distribution.
Answer : B

Case Based MCQs

Direction Read the following case study and answer questions 81 to 85 on the basis of the same.
Mr. Viaan’s is head of human resources in ABC Limited. His job is to see if his company’s employees are being paid relatively equally based on their responsibilities. He needs to review all employee records floor by floor.
The third-floor manager, supervisor, casual labourers to go first. Mr. Viaan surveyed the salaries of all the third-floor staff and finds the following monthly salaries as ₹ 5,000, ₹ 4,200, ₹ 3,000, ₹ 4,200, ₹ 8,000, ₹ 10,000 and ₹ 9,000.

Question. What is the median of the given data?
(a) ₹3,000
(b) ₹4,200
(c) ₹5,000
(d) Can’t be determined
Answer : C

Question. What will be the new median if each employee gets a boost of ₹ 500?
(a) ₹ 5,000
(b) ₹ 5,500
(c) ₹ 6,000
(d) Can’t be determined
Answer : B

Question. What will be the value of mode?
(a) ₹3,000
(b) ₹4,200
(c) ₹5,000
(d) Can’t be determined
Answer : B

Question. Mean wage of ABC Limited will be equal to ............... .
(a) ₹5,000
(b) ₹6,200
(c) ₹6,500
(d) Can’t be determined
Answer : B

Question. If the monthly salary of each staff is increased by ₹ 500. New average will be
(a) ₹ 6,200
(b) ₹ 6,700
(c) ₹ 7,200
(d) Can’t be determined
Answer : B

Very Short Answer Type Questions

Question. What is meant by central tendency?.
Answer : Single figure that represents the whole series is known as central tendency.

Question. Name any two partition values.
Answer : (i) Quartile (ii) Deciles (iii) Percentile

Question. Define mode.
Answer : The value which occurs most frequently in series is known as mode.

Question. Write the formula for weighted mean.
Answer :

Question. Which partition value divide the total set of values into four equal parts.
Answer : Quartile

Question. A shoes manufacturing company only manufactures shoes for adults. Company wants to know the most popular size. Which type of central tendency will be the most appropriate?
Answer : Mode.

Question. Mention one demerit of mode.
Answer : One demerit of mode is that it is not capable of algebraic treatment.

Question. Calculate mode from the following data 10, 8, 10, 6, 4, 12, 10, 8, 10, 18, 16, 10, 18, 10, 10.
Answer : Mode = 10

Question. What is positional average?
Answer : Those averages whose value is worked out on the basis of their position in the statistical series.