To find the range, we subtract the smallest value from the largest value:
Range = 82 - 68 = 14
To find the interquartile range (IQR), we first need to find the median (middle value) of the dataset. To do this, we can order the numbers from smallest to largest:
68, 70, 74, 75, 78, 82
The median is the middle number, which is 75.
Next, we need to find the median of the lower half of the dataset (the values below the median). These are:
68, 70, 74
The median of these values is 70.
Similarly, we need to find the median of the upper half of the dataset (the values above the median). These are:
78, 82, 75
The median of these values is 77.5.
The interquartile range is the difference between the upper and lower quartiles, which is:
IQR = upper quartile - lower quartile
IQR = 77.5 - 70
IQR = 7.5
Therefore, the range of the dataset is 14 and the interquartile range is 7.5.
The heights in inches of six basketball players at a local high school are given as a dataset.
70, 78, 74, 82, 68, 75
Find the range and the interquartile range of the dataset.
1 answer
1 answer