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The following is a sample of 25 measurements: a. Compute ,
Chapter , Problem 74E(choose chapter or problem)
The following is a sample of 25 measurements:
a. Compute \(\bar{x}, s^2\), and s for this sample.
b. Count the number of measurements in the intervals \(\bar{x} \pm s, \bar{x} \pm 2 s, \bar{x} \pm 3 s\). Express each count as a percentage of the total number of measurements.
c. Compare the percentages found in part b to the percentages given by the Empirical Rule and Chebyshev's Rule.
d. Calculate the range and use it to obtain a rough approximation for s. Does the result compare favorably with the actual value for s found in part a?
Questions & Answers
QUESTION:
The following is a sample of 25 measurements:
a. Compute \(\bar{x}, s^2\), and s for this sample.
b. Count the number of measurements in the intervals \(\bar{x} \pm s, \bar{x} \pm 2 s, \bar{x} \pm 3 s\). Express each count as a percentage of the total number of measurements.
c. Compare the percentages found in part b to the percentages given by the Empirical Rule and Chebyshev's Rule.
d. Calculate the range and use it to obtain a rough approximation for s. Does the result compare favorably with the actual value for s found in part a?
ANSWER:Step 1 of 5
Let us consider a sample data:
X | |||||||||
7 |
6 |
6 |
11 |
8 |
9 |
11 |
9 |
10 |
8 |
7 |
7 |
5 |
9 |
10 |
7 |
7 |
7 |
7 |
9 |
12 |
10 |
10 |
8 |
6 |
Here our goal is:
a). We need to compute for this sample.
b). We need to count the number of measurements in the intervals Express each count as a percentage of the total number of measurements.
c). We need to compare the percentages found in part b to the percentages given by the Empirical Rule and Chebyshev’s Rule.
d). We need to calculate the range and use it to obtain a rough approximation for s. Also we have check the result compare favorably with the actual value for s found in part (a).