Question

The number of points Jared scored in each basketball game is 26, 30, 25, 18, 23, 28, 34, and 32. Find the measures of variability for the data.

a) Mean and Median

b) Range and Standard Deviation

c) Mode and IQR

d) Mean Absolute Deviation and Variance

Answer 1

The measures of variability for the given data set include the mean, median, range, standard deviation, mode, interquartile range, mean absolute deviation, and variance.

Step-by-step explanation:

The measures of variability for a set of data include the mean, median, range, standard deviation, mode, interquartile range, mean absolute deviation, and variance. For the given data set, we can calculate the following measures of variability:

a) Mean = 26 + 30 + 25 + 18 + 23 + 28 + 34 + 32 / 8 = 240 / 8 = 30

Median (middle value) = 23 + 25 / 2 = 24

b) Range (difference between the highest and lowest values) = 34 - 18 = 16

Standard deviation (measure of the dispersion of data) = 7.07

c) Mode (most frequently occurring value) = no mode

Interquartile range (difference between the first quartile and third quartile) = 25 - 23 = 2

d) Mean Absolute Deviation (average distance of each data point from the mean) = 4.75

Variance (average of the squared differences from the mean) = 30.875