what is the interquartile range?
50 50 51 55 57 70 77 95 97 97 99
The interquartile range is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1) in a dataset.
To calculate the interquartile range for the dataset provided (50, 50, 51, 55, 57, 70, 77, 95, 97, 97, 99), we first need to arrange the data in ascending order:
50, 50, 51, 55, 57, 70, 77, 95, 97, 97, 99
Next, we calculate the first quartile (Q1) and third quartile (Q3).
Q1 is the median of the lower half of the dataset: (51 + 55) / 2 = 53
Q3 is the median of the upper half of the dataset: (95 + 97) / 2 = 96
Finally, we calculate the interquartile range as the difference between Q3 and Q1: 96 - 53 = 43
Therefore, the interquartile range for the provided dataset is 43.