A college dean examines the cumulative grade-point averages of 120 sophomore
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A college dean examines the cumulative grade-point averages of 120 sophomore

1. A college dean examines the cumulative grade-point averages of 120 sophomore students. The following frequency distribution is derived, using class intervals of width 0.3. 

Class interval Exact Limit f MP CF % c%

3.8-4.0 4

3.5-3.7 8

3.2-3.4 15

2.9-3.1 18

2.6-2.8 20

2.3-2.5 17

2.0-2.2 12

1.7-1.9 12

1.4-1.6 10

1.1-1.3 4

0.8-1.0 0

a. Complete the frequency distribution and construct the cumulative frequency distributions using the methods discussed in class (Exact limits, midpoints, freq, cum freq, percent, cum percent).

b. Draw a histogram and a frequency polygon for the distribution.


c. Find P10, P45, and P95. Show your work.

d. Find the percentile listed in c. using the ogive for this frequency distribution.


e.   Find the percentile rank of the cumulative grade point average of the following:  PR3.25 and P2.35.

Hint
StatisticsA frequency distribution is a graphical or tabular depiction of the number of observations within a specified interval. The intervals must be mutually exclusive as well as comprehensive. In most cases, frequency distributions are utilized in a statistical setting. ...

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