# 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:

- 60,40
__80,20__- 30,70
- 50,50

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

__7__- 5,5
- 5
- 4,5

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

__26__- 31
- 28
- 41

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

- 18
- 30
- 7
__26__

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

- 100
- 60
__30__- 40

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

- 6
- 75
__6__- 125

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

- 30
- 33
- 34
- 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

- 5/8
- 7/8
- 1/3
__1/7__

Q9: Coefficient of non-determination is

__1-r2__- r2 -1
- r2
- 1+ r2

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

- probability of q
- probability of p
- Trials
__all options__

Q11: The formula to calculate standardized normal random variable is

- x + μ ⁄ σ
__x – μ ⁄ σ__- x – σ ⁄ μ
- x + σ ⁄ μ

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

- square root of p
- square root of pq
__square root of npq__- square root of np

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

- non functional events
__complementary events__- non complementary events
- functional events

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

- Gary’s coefficient of skewness
- Sharma’s coefficient of skewness
__Bowley’s coefficient of skewness__- 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

- ±8
__±1__- ±9
- ±11

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

__around the mode__- around the mean
- around the median
- around the variance

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

- mean+mode
__mean-mode__- mean+median
- 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

__negatively skewed__- not skewed at all
- absolute open ended
- 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

- Professor Keller
- Professor Kelly
__Karl Pearson__- 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

- 67
__67__- 67
- 67

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

__n > or = 30__- n < or = 30
- n > or = 40
- n < or = 50

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

- 50
__25__- 30
- 20

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

__standard error__- statistic error
- sampling error
- probability error

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

- square root of pqn ⁄ p
- square root of pn ⁄ q
- square root of nq ⁄ p
__square root of pq ⁄ n__

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

- social statistics
- education statistics
__descriptive statistics__- business statistics

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

- pointed data sources
- itemized data sources
- secondary data sources
__primary data sources__

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

- statistical process
__population__- data
- marginal error

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

- equalities
- inequalities
__ratios__- both 1 and 2

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

- downward point
- upward point
__corner point__- front point

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

- subset or proper set modeling
__maximize or minimize__- row or column modeling
- adjacent modeling

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

- quadratic
- solved
__linear__- adjacent

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

- mean values of z
- mid values of z
- lowest value of z
__highest value of z__

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

- coefficient of deviation
- coefficient of mean
__standard deviation__- variance

Q34: The formula of coefficient of range is

- L+L ⁄ H+H
- H+l ⁄ H-L
__H-L ⁄ H+L__- H+H ⁄ L+L

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

- 5⁄4 σ
- 7⁄8 σ
- 5⁄8 σ
__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

__50__- 70
- 80
- 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

- 24
- 34
- 64
__13__

Q38: Which is the best method to find trend

- free hand
- least square
__moving average__- semi average

Q39: Components of time series are

__T,S,C,I__- T,S.P.I
- T,C,S,P
- T,I,C.P

Q40: Regression lines intersect at

__mean values__- median
- mode
- correlation