Mcqs (measures of dispersion)

1. MCQs
(Measures of dispersion)
NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
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2. 1- Calculate the Range and coefficient of Dispersion from following data. 40, 80, 70,
60, 100, 160, 240, 50.
a. 200, 71.43% b. 150, 80% c. 180, 95% d. All of these
2- Find Quartile deviation and coefficient of quartile deviation 33, 32, 11, 12, 14, 17,
19, 21, 27, 28, 30, 30.
a. 20, 41.43% b. 16, 36.4% c. 18, 95% d. None of these
3- Marks secured by 9 students are 28, 87, 25, 43, 14, 45, 50, 46, 70 then the
Coefficient of Variation is
a. 141.43% b. 136.4% c. 131.07% d. 150.60%
4- An airline company disclosed that on the average 750 men flew per month with
that company from Karachi to USA in the year 1981, and the standard deviation
was 65 men. The same company also disclosed that in the year 1982 the average,
per month, flew was 888 men and the standard deviation was 88 men. Find in
which year the flew was more consistent.
a. 1981 b. 1982 c. both d. None of these

3. 5- For a data having mean 50 and coefficient of variation 38.42% calculate standard
deviation.
a. 20 b. 19.21 c. 19 d. 20.5
6- For a data having standard deviation 10.82 and coefficient of variation 75 percent,
find arithmetic mean.
a. 13.25 b. 15.23 c. 14.43 d. 14
7- If V(X) is 25 then find variance of u where 𝑢 =
3𝑥+2
7
a. 6.36 b. 3.96 c. 5 d. 4.59
8- The formula u = x + 20 is used to find the standard deviation of the value of x
given in a frequency table. It is found that
𝑓𝑖 = 40, 𝑓𝑖 𝑢𝑖 = 112 𝑎𝑛𝑑 𝑓𝑖 𝑢𝑖
2
= 10208
a. 15.72 b. 16.23 c. 17.25 d. 18.79

4. 9- Find variance and standard deviation of the following data. 2, 2, 2, 2, 2.
a. 0 b. 2 c. 4 d. None of these
10- The S.D of three numbers a, b, c, is 3.2. State the S.D of three numbers
a + 2, b + 2, c +2
a. 4 b. 3.2 c. 6.4 d. 10.24
11- Distribution is said to be Symmetrical if
a. Q3 – Q2 = Q2 – Q1 b. Q3 – Q2< Q2 – Q1
c. Q3 – Q2> Q2 – Q1 d. none
12- Distribution is said to be Negatively Skewed if
a. Q3 – Q2 = Q2 – Q1 b. Q3 – Q2< Q2 – Q1
c. Q3 – Q2> Q2 – Q1 d. none
13- Distribution is said to be Positively Skewed if
a. Q3 – Q2 = Q2 – Q1 b. Q3 – Q2< Q2 – Q1
c. Q3 – Q2> Q2 – Q1 d. none

5. Answers
1-a 5-b 9-a 13-c
2-b 6-c 10-b
3-c 7-d 11-a
4-a 8-a 12-b