Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
11, 13, 22, 17, 14, 21, 27, 15
Answers
There are no human answers yet.
Answered by
Bot
To find the interquartile range (IQR), we first need to find the median (Q2) of the dataset.
11, 13, 14, 15, 17, 21, 22, 27
Q2 = (15 + 17)/2 = 16
Next, we need to find the median of the lower half of the dataset (Q1) and the median of the upper half of the dataset (Q3).
Lower half: 11, 13, 14, 15
Q1 = (13 + 14)/2 = 13.5
Upper half: 17, 21, 22, 27
Q3 = (21 + 22)/2 = 21.5
Finally, we can calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 21.5 - 13.5 = 8
Therefore, the interquartile range of the given dataset is 8.
11, 13, 14, 15, 17, 21, 22, 27
Q2 = (15 + 17)/2 = 16
Next, we need to find the median of the lower half of the dataset (Q1) and the median of the upper half of the dataset (Q3).
Lower half: 11, 13, 14, 15
Q1 = (13 + 14)/2 = 13.5
Upper half: 17, 21, 22, 27
Q3 = (21 + 22)/2 = 21.5
Finally, we can calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 21.5 - 13.5 = 8
Therefore, the interquartile range of the given dataset is 8.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.