# The data below are 30 waiting times between eruptions of the Old Faithful geyser in Yellowstone National

## Question:

a. Calculate the range.

b. Use the range approximation to approximate the standard deviation of these 30 measurements.

c. Calculate the sample standard deviation s.

d. What proportion of the measurements lie within two standard deviations of the mean? Within three standard deviations of the mean? Do these proportions agree with the proportions given in Tchebysheff's Theorem?

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**

## Introduction To Probability And Statistics

**ISBN:** 9781133103752

14th Edition

**Authors:** William Mendenhall, Robert Beaver, Barbara Beaver