Quiz on Measures of Dispersion

What does a low dispersion in data indicate?

• Data points are widely spread

• Data points are closely clustered

• Data points have no variation

• Data points follow a skewed distribution

Which of the following is NOT a measure of dispersion?

• Range

• Median

• Variance

• Standard Deviation

What is the formula for calculating the range of a dataset?

• Range=Mean−Median

• Range=Q3−Q1

• Range=Maximum Value−Minimum Value

• Range=∑Xi/N

What does the variance measure in a dataset?

• The central tendency of the data

• The average of the data values

• The squared deviations from the mean

• The difference between the highest and lowest values

What is the relationship between standard deviation and variance?

• Standard deviation is the square of variance

• Standard deviation is the square root of variance

• Variance is the square root of standard deviation

• They are always equal

The coefficient of variation (CV%) is useful for:

• Comparing datasets with different units of measurement

• Finding the median of a dataset

• Identifying the mode of a dataset

• Calculating the range of a dataset

If the interquartile range (IQR) is small, what does it indicate?

• The data is highly variable

• The middle 50% of data values are closely packed

• There are many outliers

• The dataset is skewed

Which of the following best describes a box plot?

• A plot showing the relationship between two variables

• A graphical representation of quartiles, median, and outliers

• A distribution curve of probability values

• A method used for hypothesis testing

What does a longer whisker in a box plot suggest?

• Higher variability in the dataset

• A normally distributed dataset

• Less dispersion in the data

• A lower interquartile range

In a box plot, what does the red line inside the box represent?

• The mean

• The standard deviation

• The median

• The range