Given below are recent measurements from the Old Faithful geyser in Yellowstone National Park. The time intervals (in minutes) between eruptions are76 84 76 103 92 47 98 54 80 91 69 86 83 75 9389 96 65 94 85 94 60 94 86 93 88 61 96 52 981. Find the mean. Round to one significant digit.2. Find the mode(s).3. Find the standard deviation. Round to one significant digit.4. Based on the Empirical Rule, about 68% of measurements are between ______ minutes and _______ minutes.5. Using Chebyshev’s theorem, what do you know about the percentage of time intervals (in minutes) between eruptions are within 3 standard deviations of the mean, or between _________ minutes and ________ minutes?6. Determine whether there is any outlier.
7. Construct a boxplot for this data set.8. Based on the boxplot in #7, are the data approximately normally distributed?9. Find the percentile of 92 minutes.10. Find the 35th percentile.
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