Range and Standard Deviation MCQs with Answers

The coefficient of variation is defined as?

• A.$\frac{\text{Standard Deviation}}{\text{Mean}} \times 100$
• B.$\frac{\text{Mean}}{\text{Standard Deviation}} \times 100$
• C.$\frac{\text{Variance}}{\text{Mean}} \times 100$
• D.$\frac{\text{Standard Deviation}}{\text{Median}} \times 100$

Marks obtained by 6 students are $6, 8, 10, 12, 4, 20$. Find the coefficient of dispersion.

• A.$0.4$
• B.$0.5$
• C.$0.6$
• D.$0.8$

Range is the _ between the largest and smallest value of a data set.

• A.Sum
• B.Difference
• C.Product
• D.Average

The normal distribution curve is ?

• A.Uniform (rectangular) shaped
• B.U shaped
• C.J shaped
• D.Bell shaped

A series contains values $4, 4, 4, 4, 4, 4$. Its standard deviation is:

• A.$0$
• B.$1$
• C.$4$
• D.$2$

Gaussian distribution is characterized by the and the ?

• A.Median; Range
• B.Mean; Variance
• C.Mean; Standard deviation
• D.Mode; Interquartile range

The standard deviation is independent of change of:

• A.Origin only
• B.Scale only
• C.Both origin and scale
• D.Neither origin nor scale

The standard deviation of a data set tells us:

• A.The middle value of the data
• B.The most frequent value in the data
• C.The average distance from the mean
• D.The difference between the largest and smallest values

The second moment about the mean of a symmetrical distribution is 3.5. What must be the value of the fourth moment about the mean in order for the distribution to be leptokurtic?

• A.Greater than 36.75
• B.Less than 36.75
• C.Exactly 36.75
• D.None of these

What are the class boundaries of 25 inches?

• A.$25.00 - 30.00$
• B.$24.50 - 25.50$
• C.$22.50 - 27.50$
• D.$23.50 - 28.70$