MCQs ( Measures of central tendency ) NADEEM UDDIN ASSOCIATE PROFESSOR OF STATISTICS https ://www.slideshare.net/NadeemUddin17 https://nadeemstats.wordpress.com/listofbooks/
1- For a certain distribution, if , then is equal to: a . 15 b . 0 c. 100 d. 200 2- If and , then the mean of is: a . 140 b . 160 c. 10 d. 20 3- If the mean of 5 numbers is 6 then 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
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 . b.µ c. d.
11- The symbol of population mean is : a . µ b . c . d. 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 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
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 . b. c . d . None 20- In a positively skewed distribution mean, median and mode are : a. b. c . d . None
21- In a negatively skewed distribution mean, median and mode are : a. b. c. 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
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 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
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 X 1 = 1 1 , X 2 = 3, X 3 = 4, X 4 = 5, Evaluate. 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 a . -17.2 b . - 20 c. 2.8 d. 29
33- Find given that a . 226 b . 11.3 c. 90 d. 20 34- Find given that 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
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
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