CBSE Class 11 Measures of Central Tendency MCQs Set C

Question. The sample mean is a:
(a) Parameter
(b) Statistic
(c) Variable
(d) Constant

Answer: B

Question. The range of a sample gives an indication of the
(a) way in which the values cluster about a particular point
(b) number of observations bearing the same value
(c) maximum variation in the sample
(d) degree to which the mean value differs from its expected value.

Answer: C

Question. Which of the following is not a disadvantage of using mean?
(a) It is affected by extreme values
(b) It cannot be computed in grouped data with open-ended class intervals
(c) It does not possess the desired algebraic property
(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. 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. 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. 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. The number of observations smaller than ________ is the same as the number of observations larger than it.
(a) Median
(b) Mode
(c) Mean
(d) None of the options

Answer: A

Question. What is the modal weight?
(a) 9.9 kg
(b) 10.5 kg
(c) 10.2 kg
(d) 10.1 kg

Answer: D

Question. Division of one column in ten equal parts is called:
(a) Decile
(b) Quartile
(c) Percentile
(d) None of the options

Answer: A

Question. What is the median of the following set of scores? 19, 5, 12, 10, 14?
(a) 10
(b) 14
(c) 19
(d) 12

Answer: D

Question. Which of the following formula should be used to calculate median in series 2?
(a) (n+1)/2 th term
(b) (N+1)/2 th term
(c) 3(N+1)/4 th term
(d) None of the options

Answer: D

Question. The mean of 11 numbers is 7. One of the numbers, 13, is deleted. What is the mean of the remaining 10 numbers?
(a) 6.4
(b) 7.7
(c) 6.0
(d) 5.8

Answer: A

Question. Which of the following measures of central tendency is suitable for qualitative measurement?
(a) Median
(b) Mode
(c) Both (a) and
(b) (d) Neither (a) nor (b)

Answer: A

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

Answer: A

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 C

Answer: C

Question. Which of these is correct formula?
(a) Z = 3M +2X
(b) X M Z = 3 − 2
(c) 2X = 3M + Z
(d) MX Z = 2 −3

Answer: B

Question. Mode refers to the value within a series that occurs ________ number of times.
(a) Minimum
(b) Maximum
(c) Zero
(d) Infinite

Answer: B

Question. Following are the disadvantages of Mean except
(a) Does not possess the desired algebraic property
(b) Cannot be computed if there are missing values due to omission or non-response.
(c) Easily affected by extreme values
(d) In grouped data with open-ended class intervals, the mean cannot be computed

Answer: A

Question. Mean should be:
(a) Simple
(b) Based upon all items
(c) Rigidly defined
(d) Ail of the options

Answer: A

Question. The modal score was
(a) 3
(b) 6
(c) 8
(d) 11

Answer: A

Question. Refer to the data given in question no.55, what will be the value of Q3?
(a) 10
(b) 10.50
(c) 0.75
(d) 11

Answer: C

Question. The mean of a given items 5, 6, 7, X, 11 and 13 is 44. Value of X will be
(a) 200
(b) 222
(c) 224
(d) 254

Answer: B

Question. By observation method, mode value will lie in which class interval from the given below? 63
(a) 10-20
(b) 20-30
(c) 30-40
(d) None of the options

Answer: C

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. The mean of ten numbers is 58. If one of the numbers is 40, what is the mean of the other nine?
(a) 18
(b) 60
(c) 162
(d) 540

Answer: B

Question. There are two methods of finding mode in discrete series
(a) Mid point method and table method
(b) Descending method and grouping method
(c) Inspection method and grouping method
(d) Ascending method and grouping method

Answer: C

Question. How many packets were weighed?
(a) 9
(b) 65
(c) 14
(d) 92

Answer: B

Question. What will be the median of the following series?
2, 5, 3, 4, 8, 10, 12
(a) 4
(b) 5
(c) 8
(d) 10

Answer: B

Question. Mode value calculated using the empirical formula differs from the actual value of series. Choose from the options below.
(a) True
(b) False
(c) Partially true
(d) Incomplete statement

Answer: A

Question. Division of one column in ten equal parts is called ……… .
(a) Decile
(b) Quartile
(c) Percentile
(d) None of the options

Answer: A

Question. The observation which occurs most frequently in a sample is the
(a) median
(b) mean deviation
(c) standard deviation
(d) mode

Answer: D

Question. Which measure of central tendency takes into account the magnitude of scores?
(a) Median
(b) Range
(c) Mode
(d) Mean

Answer: D

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. The highest value of the lowest 25 percent items of the series is upper quartile. Choose from the options below.
(a) True
(b) False
(c) Partially true
(d) Incomplete statement

Answer: B

Question. What is the frequency of the median weight?
(a) 7
(b) 8
(c) 12
(d) 14

Answer: C

Question. What is the median of the sample 5, 5, 11, 9, 8, 5, 8 ?
(a) 5
(b) 6
(c) 8
(d) 9

Answer: C

Question. What will be the mode value in series 1?
(a) 6
(b) 8
(c) 10
(d) None of the options

Answer: A

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

Question. Percentiles divide a series into ______.
(a) Ten equal parts
(b) Twenty equal parts
(c) Fifty equal parts
(d) Hundred equal parts

Answer: D

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. 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. Where is correlation multiple placed:
(a) Between 0 and + 1
(b) Between – 1 and 0
(c) Between – 1 and + 1
(d) None of the options

Answer: C

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

Direction Read the following case study and answer questions 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. Which form of graphical presentation is used to locate mode?
(a) Histogram
(b) Bar graphs
(c) Cumulativecurves
(d) Arithmeticlinegraphs

Answer: A

Question. According to figure two, the approximate value of mode is equal to ……… .
(a) 25
(b) 35
(c) 45
(d) Can’t be determined

Answer: B

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. Mode value of series 2 will be equal to….
(a) 12
(b) 16
(c) 28
(d) Can’t be determined

Answer: D

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

Direction Read the following case study and answer questions on the basis of the same.

Measures of central tendency are an effective statistical tools, which are widely used for different purposes. Two statistical series are given below, observe them carefully and answer the questions that follow.

Question. What will be the median value of series 1?
(a) 6
(b) 8
(c) 10
(d) None of the options

Answer: D

Question. What is the mean height of the above students?
(a) 54
(b) 59
(c) 62
(d) 67

Answer: B

Question. If we reverse the data in decreasing order, value of median will be
(a) 52
(b) 55
(c) 64
(d) None of the options

Answer: D

Question. Median of a given series divides the data into ……… parts.
(a) two
(b) three
(c) four
(d) None of the options

Answer: A

Question. What will be themode value in series 1?
(a) 6
(b) 8
(c) 10
(d) None of the options

Answer: A

Question.What will be the mode value in the above series?
(a) 54
(b) 59
(c) 67
(d) Can’t be determined

Answer: C

Question. According to figure one, value of median is equal to ………… .
(a) 15
(b) 20
(c) 30
(d) 40

Answer: A

Question. What will be the mean value in case 1?
(a) 10
(b) 15
(c) 25
(d) None of the options

Answer: D

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

Answer: B

Question. Which of the following methods should be used to calculate mode in series 1?
(a) Observation method
(b) Grouping table method
(c) Empirical relationbetweencentral tendencies
(d) Can’t be determined

Answer: C

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. Median can be located graphically using which of the following?
(a) Less than ogive
(b) More than ogive
(c) Both less than ogive and more than ogive together
(d) All of the options

Answer: D

Question. Which of the following formula should be used to calculate median in series 2?
(a) (n+1/2) th term
(b) (N+1/2) th term
(c) 3(N+1/4) th term
(d) None of the options

Answer: D

Question. What will be the median value of the above figure?
(a) 52
(b) 56
(c) 62
(d) 65

Answer: C