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WorksheetsStatisticsforManagement-20April2025
Total questions: 38
Worksheet time: 23mins
Which of the following is not a measure of dispersion?
Range
Standard deviation
Arithmetic mean
Variance
The range of the data 8, 8, 8, 8, 8 . . . 8 is
0
1
8
3
The sum of all deviations of the data from its mean is
Always positive
Always negative
zero
non-zero integer
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is
40000
160900
160000
30000
Variance of first 20 natural numbers is
32.25
44.25
33.25
30
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
3
15
5
225
If the standard deviation of x, y, z is p then the standard deviation of 3x + 5 , 3y + 5 , 3z + 5 is
3p + 5
3p
p + 5
9p + 15
If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is
3.5
3
4.5
2.5
Which of the following is incorrect?
P (A) > 1
0 ≤ P (A) ≤ 1
P(ɸ) = 0
P (A) + P (A^-) = 1
The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is
A page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is
3/10
7/10
3/9
7/9
The probability of getting a job for a person is x/3 . If the probability of not getting the job is 2/3 then the value of x is
2
1
3
1.5
Kamalam went to play a lucky draw contest. 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is 1/9 , then the number of tickets bought by Kamalam is
5
10
15
20
If a letter is chosen at random from the English alphabets {a,b,...,z}, then the probability that the letter chosen precedes x
12/13
1/13
23/26
3/26
A purse contains 10 notes of ₹2000, 15 notes of ₹500, and 25 notes of ₹200. One note is drawn at random. What is the probability that the note is either a ₹500 note or ₹200 note?
1/5
3/10
2/3
4/5
Statistic help us to...
obtain data and then organize and analyse
obtain data and then organize, summarize, present, analyze, interpret and reach conclusions
obtain data and then organize, summarize, present and analyze
plan studies and experiments
Which of the following data is continuous?
The weight of a person
Books sold every month on Amazon
Employees working in a store
Marital status, beauty and quality are examples of a...
Qualitative Data
Quantitative Data
Continuous Data
Discrete Data
What does the term 'dispersion' in statistics refer to?
The sum of all data points
The spread or variability of a set of data
The shape of the data distribution
The center of a distribution
Which of the following measures is not a measure of dispersion?
Mean
Variance
Range
Standard Deviation
The range is calculated as:
The difference between the maximum and minimum values
The product of the data set
The sum of all values in the data set
The average of the data set
The interquartile range (IQR) is a measure of dispersion based on which quartiles?
First and third quartiles
Second and fourth quartiles
First and second quartiles
Second and third quartiles
Which measure of dispersion is influenced heavily by extreme values in a data set?
Interquartile Range
Standard Deviation
Variance
Range
Question: The ages of a group of students are: 18, 20, 22, 24, 26. What is the range of ages?
8
6
10
12
Question: The standard deviation of a dataset is 5, and the mean is 30. What is the coefficient of variation (CV)?
16.67%
25%
20%
15%
Question: The relationship between the mean, median, and mode in a perfectly symmetrical distribution is:
Mean = Median = Mode
Mean < Median < Mode
Mean > Median > Mode
Mean = Median ≠ Mode
The range of 5, 15, 20, 32, 35, 40 and 50 is
5
5
45
20
The positive square root of variance is
MD
SD
Range
QD
If Mean ˃ Mode, then skewness is ____________.
No skewness
Negative
Positive
None of these
Standard deviation of the values 10, 10, 10, 10, 10 and 10 is ________.
1
0
2
4
Price and demand is an example of variable with
negative correlation
positive correlation
uncorrelation
None
The hypothesis tested for possible rejection under the assumption that it is true is called
Test of significance
Errors in testing of hypothesis
Null hypothesis
Alternative hypothesis
Which one of the following is the relationship between mean, median and mode
Mode = Median - Mean
Mode = Median - 2 Mean
Mode = 3 Median - 2 Mean
Mode = 3 Median - Mean
Frequency distribution is a summary of data presented in the form of class intervals and frequencies.
True
False
Statistics are used as a basis for making decisions.
True
False
Which one of the following is referred to as the population mean?
µ
s
σ
χ
Variance is
a measure of the average, or central value of a random variable
a measure of the dispersion of a random variable
the square root of the standard deviation
the sum of the squared deviation of data elements from the mean
median of the following is
100,150,80,90,160,200,140
140
124
138
140.4
