Question
what is the interquartile range?
50 50 51 55 57 70 77 95 97 97 99
50 50 51 55 57 70 77 95 97 97 99
Answers
GPT 3.5
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.
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.