Measures of Dispersion Quiz

What is the formula to calculate the range?

• Range = Maximum Value - Minimum Value

• Range = Maximum Value / Minimum Value

• Range = Maximum Value + Minimum Value

• Range = Maximum Value x Minimum Value

How is standard deviation calculated?

• Standard deviation is calculated by taking the absolute value of the differences between data points and the mean.

• Standard deviation is calculated by finding the square root of the average of the squared differences between each data point and the mean.

• Standard deviation is calculated by dividing the sum of data points by the number of data points.

• Standard deviation is calculated by multiplying the data points by the mean.

Explain the concept of interquartile range.

• The interquartile range is the difference between the maximum and minimum values in a data set.

• The interquartile range is the sum of all quartiles in a data set.

• The interquartile range is the average of the first and third quartiles in a data set.

• The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1) of a data set.

Define mean deviation.

• Mean deviation is the sum of all values in a dataset divided by the number of values.

• Mean deviation is the square root of the sum of the squares of the differences between each value in a dataset and the mean of that dataset.

• Mean deviation is the highest value in a dataset minus the lowest value in that dataset.

• Mean deviation is the average of the absolute differences between each value in a dataset and the mean of that dataset.

Explain quartile deviation.

• Quartile deviation is the difference between the first and third quartiles.

• Quartile deviation is a measure of central tendency.

• Quartile deviation is the same as standard deviation.

• Quartile deviation is half the interquartile range.

Why is median also known as the 50th percentile?

• The median is the average of all values in a dataset.

• The median is also known as the 50th percentile because it divides the dataset into two equal parts.

• The median is the most common value in a dataset.

• The median is the highest value in a dataset.

Define the first quartile in statistics.

• The first quartile is the 25th percentile of a dataset.

• The first quartile is the 75th percentile of a dataset.

• The first quartile is the median of a dataset.

• The first quartile is the mode of a dataset.

What does a high variance value indicate about the data set?

• Consistent data points

• Large variability within the dataset

• Small range of values

• Low variability within the dataset

How does standard deviation help in understanding the spread of data?

• Standard deviation measures the central tendency of data

• Standard deviation indicates the highest value in a dataset

• Standard deviation shows the frequency of data points

• Standard deviation helps in understanding the spread of data by quantifying the amount of variation or dispersion from the average.

Explain the concept of quartile deviation and its calculation.

• Quartile deviation = (Q3 - Q1) / 2

• Quartile deviation = (Q3 + Q1) / 2

• Quartile deviation = Q3 - Q1

• Quartile deviation = Q3 * Q1