Range, IQR, Mean Absolute Deviation

Front

What is the range of a data set?

Back

The range is the difference between the highest and lowest values in a data set.

Front

How do you calculate the range of the data: 63, 71, 65, 66, 87, 53?

Back

Range = 87 - 53 = 34.

Front

What is the median in a data set?

Back

The median is the middle value when the data is arranged in ascending order.

Front

How do you find the median of the data: 32, 53, 72, 66, 47, 54, 49, 67, 71?

Back

Arrange the data: 32, 47, 49, 53, 54, 66, 67, 71, 72. Median = 54.

Front

What are quartiles in a data set?

Back

Quartiles divide the data into four equal parts. The first quartile (Q1) is the median of the first half, and the third quartile (Q3) is the median of the second half.

Front

How do you calculate the interquartile range (IQR)?

Back

IQR = Q3 - Q1.

Front

What is the IQR of the data: 32, 53, 72, 66, 47, 54, 49, 67, 71?

Back

Q1 = 48, Q3 = 69, IQR = 69 - 48 = 21.

Front

What is the Mean Absolute Deviation (MAD)?

Back

MAD is the average of the absolute differences between each data point and the mean of the data set.

Front

How do you calculate the MAD for the data: 10, 9, 3, 8, 10?

Back

Mean = 8, Absolute differences = [2, 1, 5, 0, 2]. MAD = (2+1+5+0+2)/5 = 2.

Front

What is the first quartile (Q1)?

Back

Q1 is the median of the lower half of the data set.