CBSE Class 11 Measures of Central Tendency MCQs Set B

Question: The number of observations smaller than is the same as the number larger than it.
a) Median
b) Mode
c) Mean
d) None of the options
Answer: a

Question: Graphic location of mode is done with reference to:
a) Cumulative frequency curve
b) Frequency Polygon
c) Frequency Curve
d) Histogram
Answer: d

Question: Out of the following, by which method mode can be calculated?
a) Inspection method
b) Grouping method
c) Both Inspection method and Grouping method
d) None of the options
Answer: c

Question: Dividing a series into ten equal parts is called:
a) decile
b) quartile
c) percentile
d) None of the options
Answer: a

Question: For a certain distribution, if Σ(X -20) = 25, Σ(X- 25) =0, and Σ(X-35) = -25, then is equal to:
a) 20
b) 25
c) -25
d) 35
Answer: b

Question: The values of extreme items do not influence the average in case of
a) Median
b) Mean
c) Mode
d) None of the options
Answer: a

Question: When arithmetic mean is calculated using assumed mean and the sum of deviation from assumed mean is zero, which of the below statement is correct in that situation?
a) Assumed mean is equal to actual mean
b) Assumed mean is less than actual mean
c) Assumed mean is more than actual mean
d) It’s an exception
Answer: a

Question: Formula of D7 in individual series is:
a) Size of (𝑁+1/100)th item
b) Size of 7(𝑁+1/10)th item
c) Size of 7(𝑁/10)th item
d) None of the options
Answer: b

Question: Median divides a series into how many parts?
a) Two
b) Three
c) Four
d) All of the options
Answer: a

Question: Which of the following is a kind of partition value?
a) Arithmetic mean
b) Median
c) Quartile
d) Both Median and Quartile
Answer: c

Question: The sum of absolute deviations is minimum when taken from.
a) Arithmetic Mean
b) Median
c) Mode
d) None of the options
Answer: b

Question: Simple arithmetic mean can also be referred to as
a) weighted mean
b) unweighted mean
c) relative mean
d) geometric mean
Answer: b

Question: 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
Answer: c

Question: Step deviation method or coding method is used for computation of the:
a) Arithmetic mean
b) Geometric mean
c) Weighted mean
d) Harmonic mean
Answer: a

Question: Most frequent occurring value in a series is called:
a) Mode
b) Median
c) Mean
d) Quartiles
Answer: a

Question: Median:
a) Can be determined graphically
b) Not affected by extreme items
c) Cannot be determined
d) Involves complex calculations
Answer: a

Question: 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
Answer: d

Question: The sample mean of first n natural numbers is:
a) n(n+ 1) / 2
b) (n+ 1) / 2
c) n/2
d) (n+ 1) / 2
Answer: d

Question: 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
Answer: c

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: The sum of square of deviations from actual mean is
a) minimum
b) maximum
c) zero
d) not defined
Answer: a

Question: In an asymmetrical distribution, if mean is 20 and median is 25, what will be the value of mode?
a) 22
b) 25
c) 30
d) 35
Answer: d

Question: In a distribution, the value around which the items tend to be most heavily concentrated is called:
a) Median
b) Mean
c) Third quartile
d) Mode
Answer: d

Question: The second quartile is known as
a) Median
b) lower quartile
c) Upper quartile
d) None of the options
Answer: a

Question: If =100 and Y=2X – 200, then mean of Y values will be:
a) 0
b) 2
c) 100
d) 200
Answer: a

Question: For calculating median, all items of the series are arranged in:
a) descending order
b) ascending order
c) ascending or descending order
d) None of the options
Answer: c

Question: Mode refers to that value of a series that occurs ___________ times in the series.
a) zero
b) infinite
c) maximum
d) minimum
Answer: c

Question: What do you call the partition value which divides the series into two equal pats?
a) Upper Quartile
b) Median
c) Mode
d) Lower Quartile
Answer: b

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: Median of these numbers: 3, 5, 7, 9, 12 is:
a) 3
b) 6
c) 7
d) 12
Answer: c

Question: Mode of a series is.
a) An average value
b) A middle value
c) Highest frequency value
d) None of the options.
Answer: c

Question: The most used method of central tendency is median. Choose from the options below.
a) True
b) False
c) Partially true
d) Incomplete statement
Answer: b

Question: Quartiles can be located graphically using
a) less than ogive only
b) more than ogive only
c) Both less than ogive and more than ogive together
d) Either less than ogive or more than ogive
Answer: d

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: If mean of a series is 32 and median is 40, what would be the value of mode?
a) 54
b) 58
c) 56
d) 38
Answer: c

Question: A frequency distribution can have
a) two means
b) two medians
c) two modes
d) None of the options
Answer: c

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: Quartile is a type of:
a) mathematical average
b) statistical average
c) partition value
d) None of the options
Answer: c

Question: The most widely average used is:
a) Arithmetic mean
b) Median
c) Mode
d) Geometric mean
Answer: a

Question: The middle most value of a set of observations is
a) Median
b) Mode
c) Mean
d) None of the options
Answer: a

Question: In order to calculate mean of ‘n’ natural numbers, the number of items will be equal to
a) 100
b) 1000
c) n
d) Infinity
Answer: c

Question: For open-end classification, which of the following is the best measure of central tendency
a) Arithmetic Mean
b) Geometric Mean
c) Median
d) Mode
Answer: c

Question: The lowest value of highest 25 percent items of the series is known as lower quartile. Choose from the options below.
a) True
b) False
c) Partially true
d) Incomplete statement
Answer: b

Question: The sum of deviations is zero when deviations are taken from:
a) Mean
b) Median
c) Mode
d) Geometric mean
Answer: a

Question: Which of the following is not as measure of central tendency?
a) Mean
b) Median
c) Mode
d) Range
Answer: d

Question: Which of the following is correct for an asymmetrical distribution (positively skewed)?
a) Mean > Median > Mode
b) Median > Mode > Mean
c) Mean = Median = Mode
d) Mode > Median > Mean
Answer: a

Question: Refer to the data given in question no. 55, what will be the value of Q1?
a) 0.25
b) 4.25
c) 5.75
d) 8.25
Answer: a

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 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 (N/4)th term and 3 (N/4)th term
Answer: d

Question: Choose the incorrect statement from the given below.
a) For a symmetrical distribution, mean, median and mode are equal to each other.
b) Mid-value series need to be converted in normal frequency distribution in order to calculate median.
c) Inclusive series need to be converted into exclusive series in order to calculate arithmeticmean.
d) Mode calculated from the empirical relation is different from value calculated by statistical calculation.
Answer: c