BUSINESS STAT_Measures of Dispersion Quiz

Which measure is not commonly used in hypothesis testing or forecasting?

• Standard deviation

• Variance

• Mean deviation

• Coefficient of variation

Population variance is denoted by:

• s²

• σ²

• CV

• QD

Sample variance differs from population variance because:

• It divides by n

• It divides by (n - 1)

• It divides by n²

• It uses mode

Standard deviation is preferred over variance because:

• It is easier to compute

• It uses squared units

• It is in the same unit as the data

• It is always larger

Coefficient of variation (CV) is calculated as:

• Variance ÷ Mean

• Standard deviation ÷ Mean × 100%

• Range ÷ Mean

• Q3 - Q1 ÷ Mean

If CV of Dataset A = 12% and Dataset B = 20%, which dataset is more consistent?

• Dataset A

• Dataset B

• Both are equal

• Cannot be determined

If mean = 40 and standard deviation = 5, CV is:

• 8%

• 12.5%

• 20%

• 25%

If mean = 6, mode = 8, standard deviation = 2, skewness is:

• Positive

• Negative

• Zero

• Undefined

A distribution with mean = median = mode is:

• Skewed to the right

• Skewed to the left

• Symmetrical

• Positively skewed

Pearson's coefficient of skewness formula is:

• (Mean - Median) ÷ Range

• (Mean - Mode) ÷ Standard deviation

• (Median - Mode) ÷ Variance

• (Range - Mean) ÷ Standard deviation