The following are the interval times (minutes) between eruptions of a geyser. 82

Question

The following are the interval times (minutes) between eruptions of a geyser. 82 83 85 80 88 90 91 93 94 95 96 98 99 103 104 105 The 5-number summary is 82, 87. 93.5. 98.5. 105 Using the IQR Rule, what is the lower boundary for the "acceptable" range? Using the IQR Rule, what is the upper boundary for the "acceptable" range? Are there any outliers in this data set? A. Nope, looks good! B. Yes, there is an outlier below the "acceptable" range. C. Yes, there is an outlier above the "acceptable range. D. Yes, there are outliers below AND above the "acceptable" range.

Explanation / Answer

IQR = Q3 - Q1 where Q3 is the 3rd quartile = 98.5 and Q1 is the first quartile = 87.

Hence IQR = 98.5 - 87 = 11.5.

Lower boundary for the acceptable range = Q1 - 1.5 * IQR = 87 - (1.5 * 11.5) = 69.75. (Ans).

Upper boundary for the acceptable range = Q3 + 1.5 * IQR = 98.5 + (1.5 * 11.5) = 115.75. (Ans).

Since none of the values are below and above the acceptable range, so there are no outliers in the data. So it looks good. (Ans).

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