Calculate the interquartile range of the given data. 51, 9, 55, 44, 36, 41, 8, 52, 39, 15, 39, 55, 28, 18, 31
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The given data set is: 51, 9, 55, 44, 36, 41, 8, 52, 39, 15, 39, 55, 28, 18, 31. Let's count the number of data points, n. There are 15 data points. Show more…
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Calculate the interquartile range of the given data: 25, 5, 38, 11, 52, 22, 36, 49, 21, 43, 37, 34, 10, 44.
Pritesh R.
For the given data set, calculate the Inter-Quartile Range (IQR): 45 52 78 90 120 34 67 111 Answer: IQR = Q3 - Q1 To find Q1 (the first quartile): 1. Arrange the data set in ascending order: 34, 45, 52, 67, 78, 90, 111, 120 2. Q1 is the median of the lower half of the data set. In this case, the lower half is: 34, 45, 52, 67 3. Q1 = (45 + 52) / 2 = 97 / 2 = 48.5 To find Q3 (the third quartile): 1. Q3 is the median of the upper half of the data set. In this case, the upper half is: 78, 90, 111, 120 2. Q3 = (90 + 111) / 2 = 201 / 2 = 100.5 Therefore, IQR = Q3 - Q1 = 100.5 - 48.5 = 52
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