A) Make a frequency distribution with 3 classes for the data. Round the class wi

Question

A) Make a frequency distribution with 3 classes for the data. Round the class width the same way that the data is rounded.

B) What numbers would be used for a box and whisker plot for this set of data? Round answers to the nearest 10th place.

C) What percent of the data is within two standard deviations of the mean. Note: Mean= 100.9 and s=6.7 Round answers to the nearest 10th of a percent.

D) The Empirical guideline for a normal distribution is that 95% of the data is within two standard deviations of the mean. How does this data compare to the guideline? Why did it turn out this way?

Name Quarterback rating Brett Favre 110.8 Philip Rivers 109.8 Drew Brees 106.9 Jason Campbell 102.2 Kurt Warner 100.8 Tony Romo 99.0 Jay Cutler 98.6 Donovan McNabb 95.7 Ben Roethlisberger 93.3 Aaron Rodgers 91.4

Explanation / Answer

#1.
Min = 91.4
Max = 110.8

Range = Max - min = 19.4

No. of classes = 3
width = 19.4/3 = 6.5

#2.

91.4 93.3 95.7 98.6 99 100.8 102.2 106.9 109.8 110.8

Min = 91.4

Max = 110.8

Median = Q2 = 99.9 (average of middle 2 values)

Q1 = 95.7 (median of first half 5 values)

Q3 = 106.9 (median of second half of 5 values)

#3.

s = 6.7

2*s = 13.4

mean - 2s = 100.9 - 13.4 = 87.5

mean + 2s = 100.9 + 13.4 = 114.5

All data i.e. 100% lies within 2 standard deviations of the mean.

#4.

We do not see this data following the guidelines this is because the given data has higher value of standard deviations due to values lying to the extreme of distribution

Classes Frequency 91.4-97.9 3 97.9-104.4 4 104.4-110.9 3

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