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# Business Statistics Online Assignments

Q1: The mean age of combined group of men and women is 25 years. If the mean age of group of men is 26 and that of group of women is 21, then percentage of men and women in the group respectively is:

1. 60,40
2. 80,20
3. 30,70
4. 50,50

Q2: What is the weighted mean of first 10 natural numbers whose weights are equal to the corresponding number?

1. 7
2. 5,5
3. 5
4. 4,5

Q3: Sum of mode and median of the data 12, 15, 11, 13, 18, 11, 13, 12, 13

1. 26
2. 31
3. 28
4. 41

Q4: The mean of 9 observations is 16. One more observation is included and the new mean becomes 17. The 10th observation is

1. 18
2. 30
3. 7
4. 26

Q5: Given third quartile is 80 & first quartile is 20 then semi-inter quartile range is

1. 100
2. 60
3. 30
4. 40

Q6: Given third quartile is 100 & first quartile is 25 then coefficient of Quartile Deviation

1. 6
2. 75
3. 6
4. 125

Q7: Given mean is  45  & standard deviation is 15 then coefficient of variation is

1. 30
2. 33
3. 34
4. 33

Correct answer is: 0.33, as coefficient of variation = SD / Mean = 15/45 = 0.33
Q8: Given, covariance of (x ,y )=10   variance of x =49,variance of y =100,correlation between x and y  is

1. 5/8
2. 7/8
3. 1/3
4. 1/7

Q9: Coefficient of non-determination is

1. 1-r2
2. r2 -1
3. r2
4. 1+ r2

Q10: In binomial probability distribution, the dependents of standard deviations must includes

1. probability of q
2. probability of p
3. Trials
4. all options

Q11: The formula to calculate standardized normal random variable is

1. x + μ ⁄ σ
2. x – μ ⁄ σ
3. x – σ ⁄ μ
4. x + σ ⁄ μ

Q12: In binomial distribution, the formula of calculating standard deviation is

1. square root of p
2. square root of pq
3. square root of npq
4. square root of np

Q13: The tail or head, the one or zero and the girl and boy are examples of

1. non functional events
2. complementary events
3. non complementary events
4. functional events

Q14: The method of calculating skewness which is based on the positions of quartiles and median in a distribution is called

1. Gary’s coefficient of skewness
2. Sharma’s coefficient of skewness
3. Bowley’s coefficient of skewness
4. Jack Karl’s coefficient of skewness

Q15: The median of a moderately skewed distribution is 8, third quartile is 12, first quartile is 8 and inter-quartile range is 4 then relative coefficient of skewness is

1. ±8
2. ±1
3. ±9
4. ±11

Q16: The kurtosis defines the peakness of the curve in the region which is

1. around the mode
2. around the mean
3. around the median
4. around the variance

Q17: In measures of skewness, the absolute skewness is equal to

1. mean+mode
2. mean-mode
3. mean+median
4. mean-median

Q18: If for a distribution the difference of first quartile and median is less than difference of median and third quartile then the distribution is classified as

1. negatively skewed
2. not skewed at all
3. absolute open ended
4. positively skewed

Q19: The three times of difference between mean and median is divided by standard deviation to calculate coefficient of skewness by method of

1. Professor Keller
2. Professor Kelly
3. Karl Pearson
4. Professor Bowley

Q20: If the standard deviation of the population is 35 and the sample size is 9 then the standard deviation of sampling distribution is

1. 67
2. 67
3. 67
4. 67

Q21: In statistical analysis, the sample size is considered large if

1. n > or = 30
2. n < or = 30
3. n > or = 40
4. n < or = 50

Q22: If the mean of population is 25 then the mean of sampling distribution is

1. 50
2. 25
3. 30
4. 20

Q23: The standard deviation of a sampling distribution is also classified as

1. standard error
2. statistic error
3. sampling error
4. probability error

Q24: In sampling distribution, the formula of calculating standard deviation of sample proportion is as

1. square root of pqn ⁄ p
2. square root of pn ⁄ q
3. square root of nq ⁄ p
4. square root of pq ⁄ n

Q25: The numerical methods and graphical methods are specialized procedures used in

1. social statistics
2. education statistics
3. descriptive statistics
4. business statistics

Q26: The focus groups, individual respondents and panels of respondents are classified as

1. pointed data sources
2. itemized data sources
3. secondary data sources
4. primary data sources

Q27: The collection of all the elements such as group of variables for research is classified as

1. statistical process
2. population
3. data
4. marginal error

Q28: In linear programming, the constraints can be represented by

1. equalities
2. inequalities
3. ratios
4. both 1 and 2

Q29: The feasible region’s optimal solution for a linear objective function always includes

1. downward point
2. upward point
3. corner point
4. front point

Q30: The objective of linear programming for an objective function is to

1. subset or proper set modeling
2. maximize or minimize
3. row or column modeling
4. adjacent modeling

Q31: In linear programming, the objective function and objective constraints are

1. quadratic
2. solved
3. linear
4. adjacent

Q32: In maximization problem, the optimal solution occurring at the corner point yields the

1. mean values of z
2. mid values of z
3. lowest value of z
4. highest value of z

Q33: If the arithmetic mean is multiplied to coefficient of variation then the resulting value is classified as

1. coefficient of deviation
2. coefficient of mean
3. standard deviation
4. variance

Q34: The formula of coefficient of range is

1. L+L ⁄ H+H
2. H+l ⁄ H-L
3. H-L ⁄ H+L
4. H+H ⁄ L+L

Q35: Considering the standard deviation, the mean absolute deviation is equal to

1. 5⁄4 σ
2. 7⁄8 σ
3. 5⁄8 σ
4. 4⁄5 σ

Q36: The sum of highest and lowest value is 80 and the coefficient of range is 0.625 then the difference between highest and lowest value is

1. 50
2. 70
3. 80
4. 48

Q37: The value of third quartile is 61 and inter quartile range of the set of observation is 48 then value of first quartile is

1. 24
2. 34
3. 64
4. 13

Q38: Which is the best method to find trend

1. free hand
2. least square
3. moving average
4. semi average

Q39: Components of time series are

1. T,S,C,I
2. T,S.P.I
3. T,C,S,P
4. T,I,C.P

Q40: Regression lines intersect at

1. mean values
2. median
3. mode
4. correlation
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