Measures of Variability

Front

What is the definition of Measures of Variability?

Back

Measures of Variability are statistical tools that describe the spread or dispersion of a set of data points.

Front

What does IQR stand for?

Back

IQR stands for Interquartile Range, which measures the range of the middle 50% of a data set.

Front

How do you calculate the range of a data set?

Back

The range is calculated by subtracting the smallest value from the largest value in the data set.

Front

What is the formula for Standard Deviation?

Back

Standard Deviation is calculated as the square root of the variance.

Front

What does a high Standard Deviation indicate?

Back

A high Standard Deviation indicates that the data points are spread out over a wider range of values.

Front

What is the difference between population and sample Standard Deviation?

Back

Population Standard Deviation uses N (total number of data points) in the denominator, while Sample Standard Deviation uses N-1.

Front

What is the purpose of calculating the mean?

Back

The mean provides a measure of central tendency, representing the average of a data set.

Front

What is variance?

Back

Variance is the average of the squared differences from the mean, indicating how much the data varies.

Front

What is the significance of the 25th and 75th percentiles in IQR?

Back

The 25th percentile (Q1) is the value below which 25% of the data falls, and the 75th percentile (Q3) is the value below which 75% of the data falls.

Front

If the scores are: 70, 80, 90, 100, what is the range?

Back

The range is 100 - 70 = 30.