Mcqs (measures of central tendency)

1. MCQs
(Measures of central tendency)
NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
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2. 1- For a certain distribution, if 𝑥 − 15 = 0, then 𝑥 is equal to:
a. 15 b. 0 c. 100 d. 200
2- If 𝑥 = 50 and 𝑦 = 3𝑥 − 10, then the mean of is:
a. 140 b. 160 c. 10 d. 20
3- If the mean of 5 numbers is 6 then 𝑥 is:
a. 30 b. 36 c. 25 d. 0
4- Sum of the deviation of the values from their mean is:
a. Minimum b. Zero c. Range d. Mode
5- The sum of the squares of the deviations of the values of a variable form their
mean is:
a. Minimum b. Maximum c. Zero d. Range

3. 6- The most frequent value of a data is:
a. Mean b. Median c. Mode d. Range
7- A distribution with one mode is called:
a. Mean b. Bimodal c. Multimodal d. Unimodal
8- A distribution with two modes is called:
a. Bimodal b. Unimodal c. Multimodal d. Median
9- A distribution with more than two modes is called:
a. Multimodal b. Unimodal c. Bimodal d. Mode
10- The symbol of sample mean is:
a. 𝑥 b.µ c. 𝑥 d. 𝑥

4. 11- The symbol of population mean is:
a. µ b. 𝑥 c. 𝑥 d. 𝑥
12- Mode of the series 2, 2, 3, 3, 4, 4, 4, 7, 9, 10 is:
a. 2 b. 4 c. 3 d. Zero
13- The sample mean 𝑥 is a:
a. Sample b. Parameter c. Statistic d. Population
14- The population mean µ is a:
a. Population b. Statistic c. Sample d. Parameter
15- The mean of series 7, 7, 7, 7, 7, 7 is:
a. 7 b. 42 c. Zero d. None

5. 16- We must arrange the data before calculating:
a. Mean b. Median c. Mode d. Range
17- Median is that value which divide the data into:
a. Four equal parts b. Three equal parts
c. Two equal parts d. None
18- Median of a series 2, 3, 4, 5, 6, 7 is:
a. 4.5 b. 4 c. 5 d. None
19- In a symmetrical distribution mean, median and mode are:
a. 𝑥 = 𝑥 = 𝑥 b. 𝑥 > 𝑥 > 𝑥 c. 𝑥 < 𝑥 < 𝑥 d. None
20- In a positively skewed distribution mean, median and mode are:
a. 𝑥 = 𝑥 = 𝑥 b. 𝑥 > 𝑥 > 𝑥 c. 𝑥 < 𝑥 < 𝑥 d. None

6. 21- In a negatively skewed distribution mean, median and mode are:
a. 𝑥 = 𝑥 = 𝑥 b. 𝑥 > 𝑥 > 𝑥 c. 𝑥 < 𝑥 < 𝑥 d. None
22- A curve that tail off two the right end is called:
a. Positively skewed b. Negatively skewed
c. Symmetrical d. None
23- A curve that tails off to the left end, is called:
a. Negatively skewed b. Positively skewed
c. Symmetrical d. None
24- If the mean, median and mode coincide in a unimodal distribution, then the
distribution will be:
a. Positively skewed b. Symmetrical
c. Negatively skewed d. None

7. 25- In a moderately skewed distribution, mean = 40 and median = 30, then the mode
is:
a. 10 b. 20 c. 90 d. 80
26- A data set contains the observations5, 1, 3, 2, 1 find 𝑥
a. 10 b. 20 c. 90 d. 12
27- The G.M of 2 and 8 is
a. 4 b. 20 c. 90 d. 12
28- An average monthly production of a certain factory for the first 9 months is 2584
units and for the remaining three months it is 2416 units find average monthly
production.
a. 4000 b. 2542 c. 900 d. 1250

8. 29- The average wage of 4 men is Rs. 17 per week. What is the average wage of
further 6 men if the average wage of all 10 men is Rs. 20.
a. 22 b. 20 c. 90 d. 12
30.- An examination candidate’s percentages are: English 73, Urdu 82; Mathematics
75; Science 62; History 60. Find the candidate’s weighted mean if weights of 4,
3, 3, 1,1 respectively are allotted to the subjects.
a. 40% b. 20% c. 90% d. 69.25%
31- If X1 = 11, X2 = 3, X3 = 4, X4 = 5, Evaluate. 𝑥 − 1 2
a. 22 b. 20 c. 90 d. 29
32- The formula u = x + 20 is used to find Mean of x it is found that
𝑓𝑖 = 40, 𝑢𝑖 𝑓𝑖 = 112
a. -17.2 b. - 20 c. 2.8 d. 29

9. 33- Find 𝑥 given that 𝑖=1
20
𝑥𝑖 = 226
a. 226 b. 11.3 c. 90 d. 20
34- Find 𝑦 given that 𝑖=1
20
𝑦𝑖 − 100 = 226
a. 100 b. 200 c. 111.3 d. 20
35- The numbers 3.2, 5.8, 7.9 and 4.5 have frequencies x, (x + 2), (x – 3) and (x + 6)
respectively if their mean is 4.876 find the value of x.
a. 3 b. 5 c. 4 d. 3.5

10. 36- If the average mark of 100 students is 28. Find missing value A and B.
Marks
No. of
students
0-10 A
10-20 18
20-30 27
30-40 20
40-50 B
50-60 6
a. A=12, B=17 b. A=10, B=20
c. A=1, B=2 d. None of these
37- The mean mark of 100 students was given to be 40. It was found later that a
mark 53 read as 83. What is the corrected mean mark?
a. 39.7 b. 40
c. 40.8 d. 38

11. 1-a 6-c 11-a 16-b 21-c 26-d 31-d 36-a
2-a 7-d 12-b 17-c 22-a 27-a 32-a 37-a
3-a 8-a 13-c 18-a 23-a 28-b 33-b
4-b 9-a 14-d 19-a 24-b 29-a 34-c
5-a 10-a 15-a 20-b 25-a 30-d 35-b
Answers