Stats Practice material

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Faculty: AMIR KHATRI
Measure of Central Tendency
1. Measure of central tendency for a given set of obsaervations
a. summarizes the data into a single value.
b. tends to lie at the centre of the data.
c. measures the scatterness of the observations.
d. both (a) & (b)
2. Measure of central tendency for a given set of obsaervations is measures
a. the scatterness of the observations.
b. the central location of the observation
c. both (a) & (b)
d. none of these
3. A good measure of central tendency should be
a. capable of further algebric treatment
b. based on all abservations
c. rigidky defined
d. all of these
4. Which of the following is/are a poistional average?
a. A.M b. G.M c. Median d. H.M
5. Which of the following is affected by extreme observations?
a. mean b. median c. mode d. quartile
6. Which of the following cannot be determined by graphically?
a. mean b. median c. mode d. quartile
7. Which of the following is not an advantage of median?
a. it is particularly useful in open end classes.
b. it is not influenced by extreme values
c. it is the most appropriate average in dealing with qualitative data
d. it is determine by each & every observation
8. Which of the following is true for A.M?
a. the sum of deviations of the observations from A.M (ignoring signs) is minimum.
b. the sum of deviations of the observations from A.M (taking signs) is minimum.
c. the sum of deviations of the observations from A.M (ignoring signs) zero.
d. the sum of deviations of the observations from A.M (taking signs) is zero.
9. The sum of the squares of deviations of observation has the smallest value, when the
deviations are taken from their:
a. Mode b. A.M c. median d. H.M
10. The mean, median & mode of a data are of a single point. The data will be
a. symmetrical b. positively skewed
c. negatively skewed d. open-ended

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Faculty: AMIR KHATRI
11. Which of the following statement is true?
a. the sum of deviations taken from median is zero.
b. the sum of squares of deviations taken from median is minimum.
c. the sum of absolute deviations taken from median is minimum.
d. none of these
12. Which is the most popular & widely used measure of central tendency?
a. median b. G.M c. A.M d. mode
13. Which of the following is the empirical relationship among mean, median & mode?
a. Mean – Median =
1
3
(Mean –Mode) b. Mode = 3 Median – 2 Mean
c. Median = Mode +
2
3
(Mean – Mode) d. all of these
14. If every item in the data set is replaced by its A.M, then the sum of these substituitions
will be:
a. greater than the sum of the individual observations.
b. less than the sum of the individual observations.
c. equal to the sum of the individual observations.
d. always positive.
15. If each observation of a data set is miltipled by 5, the mean of the new data set:
a. is multiplied with 5 b. is multiplied by 1/3
c. remain same d. none of these
16. If the A.M & G.M for two numbers are 6.5 & 6 respectively then the two numbers are
a. 6 & 7 b. 9 & 4 c. 10 & 3 d. 8 & 5
17. For a data set G.M is 10 then A.M will be
a. 8 b. 9 c. 12 d. 7
18. The best measures of finding average rate of increase or decrease is
a. A.M b. median c. mode d. G.M
19. If an organization wants to give more importance to marks obtained in personal interview
than the marks obtained in group discussion & written test then the best method is
a. simple average b. weighted average
c. combined average d. none of these
20. For locating mode graphically we have to use
a. Pie diagram b. Ogive curves
c. Histogram d. None of these
21. Median can be determined graphically using
a. Pie diagram b. Ogive curves
c. Histogram d. Frequency polygon

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Faculty: AMIR KHATRI
22. 55% of observations are more than a value ‘A’ in a given data set. What is ‘A’?
a. P45 b. P55 c. 0.55 d. 0.45
23. What is the lower limit of the central 505 of observations in a data set?
a. Q3 b. P25 c. P75 d. Median
24. When a company registers both profit & loss, which of the following measure of central
tendency cannot be considered?
a. A.M b. median c. G.M d. mode
25. Given that the median sales of shoes was Rs.24000, find the missing frequency
Sale (‘000 Rs.) 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
No. of Shops 5 25 - 18 7
a. 20 b. 24 c. 25 d. 15
26. The median of the observations x – 12, x – 9, x – 7, x – 5, x + 1, x + 3, x + 10, x + 15, x +
20, x + 23 arranged in ascending prder is 22. Find Q1.
a. 12.5 b. 20 c. 15 d. data
insufficient
27. Mean of 10 observations is 32.2. If by mistake, one observation is taken as 4, in place of
– 4. Find the correct mean.
a. 34 b. 32.2 c. 31.4 d. none of
these
28. Mean of 5 observations is 8. Out of them, three observations are 2, 6, 11. In remaining
two observations, one is twice the other. Find the least of the remaining two
observations.
a. 7 b. 14 c. 6 d. 12
29. If p & q are related variables such that 3p + 4q = 120 & G.M of p is 20 then G.M of q is
a. 15 b. 6 c. 20 d. none of
these
30. In case of open ended class, which measure is most appropriate?
a. A.M b. median c. G.M d. H.M
31. Deciles divides the given data set into _____ equal parts.
a. 10 b. 4 c. 100 d. 2
32. Which of the following results hold for a set of distinct positive observations?
a. A.M ≥ G.M ≥ H.M b. H.M ≥ G.M ≥ A.M
c. G.M > A.M > H.M d. A.M > G.M ≥ H.M

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Faculty: AMIR KHATRI
33. The mean of 10 observations is 7.5. if 2.5 is deducted from each observation & then it is
multiplied by 2. Mean of new observations is:
a. 20 b. 10 c. 15 d. 5
34. If a constant 5 is deducted from each observation of a set having median M, then
median of set of new observations will be
a. 5 – M b. M c. M – 5 d. M + 5
35. For a data set having 15 observations median is 7 & ∑| 𝑥 − 7|= 12 then ∑| 𝑥 − 𝐴| = …….
where A ≠ 7.
a. 10 b. 17 c. 9 d. 0
36. What % of observations lies between P20 & P78 ?
a. 20 b. 78 c. 58 d. None of
these
37. In a frequency distribution, third quartile is 22 & ∑ 𝑓 = 100, then find the missing
frequency for the class 24 – 30.
Class 0 – 6 6 – 12 12 – 18 18 – 24 24 – 30 30 – 36 36 – 42
Frequency 12 18 - 30 - 4 2
a. 25 b. 9 c. 29 d. 5
38. The average runs of a cricketer in 4 innings are 32. How many runs he should score in
the fifth innings so that his average score becomes 50 runs?
a. 132 b. 122 c. 128 d. 126