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Calculating Dispersion and Confidence Intervals

Gas Price Gas Price Gas Price
$3.76 $3.99 $4.25
$3.79 $3.99 $4.25
$3.79 $4.00 $4.25
$3.80 $4.00 $4.25
$3.81 $4.03 $4.25
$3.82 $4.05 $4.29
$3.84 $4.05 $4.29
$3.85 $4.07 $4.29
$3.86 $4.08 $4.29
$3.87 $4.09 $4.29
$3.87 $4.09 $4.36
$3.87 $4.09 $4.36
$3.89 $4.09 $4.36
$3.89 $4.11 $4.36
$3.89 $4.11 $4.37
$3.89 $4.11 $4.37
$3.89 $4.13 $4.37
$3.91 $4.14 $4.38
$3.91 $4.15 $4.38
$3.93 $4.15 $4.38
$3.93 $4.17 $4.39
$3.93 $4.18 $4.39
$3.95 $4.18 $4.40
$3.95 $4.19 $4.41
$3.95 $4.19 $4.41
$3.95 $4.19 $4.41
$3.98 $4.19 $4.43
$3.98 $4.19 $4.43
$3.99 $4.21 $4.44
$3.99 $4.23 $4.44
Please calculate and answer questions by using raw data above.
Please calculate Part A #3,4 and Part B #3.
Thanks

Part A
3. Calculate the dispersion (standard deviation and Range). Identify the 1, 2, and 3 Sigma ranges for each sample.
4. Group the data and set up frequency tables for each sample. Again calculate the same items done in #2 and #3 above for the group data. Compare the results with the results from#2(mode,mean,median) and #3. Show your calculations please.

Part B
3. Calculate the 95% confidence interval for all samples.

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Solution Summary

This solution shows step-by-step calculations to determine the dispersion (standard deviation and range) and the 95% confidence interval for all samples. It also compares the group data in frequency tables.

$2.19