MULTIPLE CHOICE QUESTIONS: (MCQ’s)
1. If x1 ,x2 ,x3 , …… xn are the observations of a given data. Then the mean of the observations will be____
(a) Sum of observations/Total number of observations
(b) Total number of observations/Sum of observations
(c) Sum of observations + Total number of observations
(d) None of the above
2. If the mean of frequency distribution is 7.5 and ∑fi xi = 120 + 3k, ∑fi = 30, then k is equal to____
(a) 40
(b) 35
(c) 50
(d) 45
3. The mode and mean is given by 7 and 8, respectively. Then the median is_____
(a) 1/13
(b) 13/3
(c) 23/3
(d) 33
4. The mean of the data: 4, 10, 5, 9, 12 is______
(a) 8
(b) 10
(c) 9
(d) 15
5. The median of the data 13, 15, 16, 17, 19, 20 is_____
(a) 30/2
(b) 31/2
(c) 33/2
(d) 35/2
6. If the mean of first n natural numbers is 15, then the value of n is_____
(a) 23
(b)2 4
(c) 29
(d) 26
7. If Arithmetic Mean of a, a+3 , a+6, a+9 and a+12 is 10, then a is equal to_____
(a) 1
(b) 2
(c) 3
(d) 4
8. The class interval of a given observation is 10 to 15, then the classmark for this interval will be_____
(a) 11.5
(b) 12.5
(c) 12
(d) 14
9. If the sum of frequencies is 24, then the value of x in the observation: x, 5, 6, 1, 2, will be______
(a) 4
(b) 6
(c) 8
(d) 10
10.The mean of following distribution is_____
| xi | 11 | 14 | 17 | 20 |
| fi | 3 | 6 | 8 | 7 |
(a) 15.6
(b) 17
(c) 14.8
(d) 16.4
11.The mean of X: 4 ,6 ,8 , 10, 12.and F: 1 , 5, 10, 15, 20. will be ___
(a) 11.6
(b) 12.5
(c) 13
(d) 12.6
12.The mean of this distribution is 6. The value of y will be___
X: 2, 4 ,6 ,10 , y + 5 .
F: 3 , 2 , 3 , 1 , 2 .
(a) 7
(b) 12
(c) 3
(d) 6
13.____of a distribution is the value of the variable which divides it into two equal parts
(a) medium
(b) median
(c) mean
(d) mode
14.If n is odd then median is the value of ____ observation.
(a) (n + 2)/1 th
(b) (n −1)/2 th
(c) (n )/2 th
(d) (n + 1)/2 th
15.The median of the marks obtained in a test of 50 marks by 9 children will be___
(a) 32
(b) 52
(c) 42
(d) 22
16. Recollect the median formula.The alphabet f stands for ____
(a) lower limit of median class
(b) frequency of median class
(c) size of median class
(d) cumulative frequency of class preceding the median class
17.The ___or modal value of a distribution is that value of a variable for
which the frequency is maximum
(a) mean
(b) mode
(c) median
(d) none of these
18.For computation of mode for a continuous frequency distribution.
The first step will be ___
(a) find the class of maximum frequency
(b) find the width of modal class
(c) obtain the continuous frequency distribution
(d) put the values in the formula
19.To find median of a continuous frequency distribution the first step is ____
(a) prepare the cumulative frequency column
(b) obtain the frequency distribution
(c) use the formula
(d) none of these
20.The third method besides direct and short cut method will be ___ method
(a) step deviation
(b) step up
(c) step down
(d) fast track
Answers. + Clues
1 : (a) ⇒ (Text book)
2 : (b) ⇒ Use Direct Method formula of mean
3 : (c) ⇒ Use the formula 3Median = Mode +2Mean
4 : (a) ⇒ Use Mean formula
5 : (c) ⇒ Here n is even (Textbook) (14.4)
6 : (c) ⇒ Mean = [n (n + 1)/2]/n = 15
7 : (d) ⇒Use Mean formula
8 : (b) ⇒ Use class mark formula
9 : (d) ⇒ Add all the frequencies and it will be equal to 24
10 : (d) ⇒Use Mean formula
11: (d) ⇒ Use Mean formula
12(a): ⇒ Use Mean formula
13:(b) ⇒ Definition of median
14: (d) ⇒ Summary
15: (a) ⇒ Since 9 is an odd number.So median will be ( n+1)/2
16; (d) ⇒ Formula of Median
17: (b) ⇒ Definition of mode
18: (c) ⇒ Order of putting values before writing the formula
19. (b) ⇒ Steps of median formula
20: (a) ⇒ Three methods of finding mean