Worksheet: Measures of Central Tendency | Economics Class 11 - Commerce PDF Download

Multiple Choice Questions

Q2: The average daily wage of a group of 100 workers was ₹ 250. Each worker is now given a raise of ₹ 50. What is the new average daily wage?
(a) 200
(b) 250
(c) 300
(d) 350

Q3: Arithmetic mean of a group of 50 students in an exam is 48. If marks of every student are reduced by 3, the new average will be
(a) 45
(b) 48
(c) 51
(d) Can’t be calculated

Q4: The most used method of central tendency is median. Choose from the options below.
(a) True
(b) False
(c) Partially true
(d) Incomplete statement

Q5: Broadly, arithmetic mean is of ……… types.
(a) two
(b) three
(c) four
(d) five

Q6: Choose the incorrect statement from given below.
(a) A good average is the one which is least affected by sampling fluctuations
(b) An average should be rigidly defined
(c) An average is based on the extreme observations of the statistical distribution
(d) An average should be capable of further algebraic treatment

Q7: 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

Q8: A distribution of three components with total number of terms being 200, 250 and 300 with means 25, 10 and 15 respectively. The combined mean will be equal to
(a) 200
(b) 240
(c) 300
(b) Can’t be determined

Q9: Which of the following values of quartiles is equal to median?
(a) Q1
(b) Q2
(c) Q3
(d) None of these

Q10: The sum of square of deviations from actual mean is
(a) minimum
(b) maximum
(c) zero
(d) not defined

Q11: Arithmetic mean can be calculated under which of the following series?
(a) Cumulative series
(b) Open ended series
(c) Unequal frequency distribution
(d) All of the above

Q12: Choose the correct option when equal weights are assigned to all the observations of the data.
(a) Weighted mean > Arithmetic mean
(b) Weighted mean < Arithmetic mean
(c) Weighted mean = Arithmetic mean
(d) They are not related

Q13: Combined mean method can be used to combine arithmetic mean of ……… series.
(a) 2
(b) 3
(c) 5
(d) N-number

Q14: Median of a given series is ‘k’. If all the item values of series are increased by ‘k’, then what will be the new median?
(a) 2k
(b) k2
(c) k +2
(d) Can’t be determined

Q15: Calculation of mean in which of the following series is not accurate?
(a) Exclusive continuous series
(b) Inclusive continuous series
(c) Open-ended series
(d) Unequal class interval series

Q16: Mode can be calculated only if the series is ……… .
(a) inclusive
(b) exclusive
(c) Both (a) and (b)
(d) Neither (a) nor (b)

Q17: A frequency distribution with more than 2 modal values, is known as
(a) Bi-modal frequency distribution
(b) Tri-modal frequency distribution
(c) Multi-modal frequency distribution
(d) None of the above

Q18: 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

Q19: What will be the median of the following series? 2, 5, 3, 4, 8, 10, 12
(a) 4
(b) 5
(c) 8
(d) 10

Q20: 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

Q21: Choose the correct statement about median.
(a) Highest value of lowest 25%of the items
(b) Lowest value of highest 25%of the items
(c) Highest value of lowest 50%of the items
(d) All of the above statements are false

Q22: 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

Q23: 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

Q24: Choose the incorrect statement.
(a) Mode cannot be calculated in open-ended distributions
(b) Median is affected by change in extreme values
(c) Median is not affected by fluctuations in sampling
(d) All of the above is incorrect

Direction Analyse the following case study graphs and answer questions 96 to 100 on the basis of the same.

Q25: What will be the mean value in case 1?
(a) 10
(b) 15
(c) 25
(d) None of the above

Q26: Which form of graphical presentation is used to locate mode?
(a) Histogram
(b) Bar graphs
(c) Cumulativecurves
(d) Arithmeticlinegraphs

Q27: 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 above

Q28: According to figure two, the approximate value of mode is equal to____.
(a) 25
(b) 35
(c) 45
(d) Can’t be determined

Q29: According to figure one, value of median is equal to ………… .
(a) 15
(b) 20
(c) 30
(d) 40

Short Answer Questions

Q2: What is meant by 'Central Tendency'?

Q3: State two functions of an average.

Q4: Name three measures of central tendency.

Q5: Give the formula for Weighted Arithmetic Mean.

Q6: What is Arithmetic Mean?

Q7: Name two types of arithmetic mean.

Q8: What is median?

Q9: What are quartiles?

Q10: What are percentiles?

Q11: What are partition values?

Q12: What is mode?

Q13: Give the formula for finding the median in the case of a continuous series.

Q14: Give the formula for finding the mode of a continuous series.