Below You Are Given the Examination Scores of 20 Students $$\begin{array} { l l l l l } 52 & 99 & 92 & 86 & 84 \\63 & 72 & 76 & 95 & 88 \\92 & 58 & 65 & 79 & 80 \\90 & 75 & 74 & 56 & 99\end{array}$$

question 60

Essay

Below you are given the examination scores of 20 students. $$\begin{array} { l l l l l } 52 & 99 & 92 & 86 & 84 \\63 & 72 & 76 & 95 & 88 \\92 & 58 & 65 & 79 & 80 \\90 & 75 & 74 & 56 & 99\end{array}$$ ​
a.
Construct a frequency distribution for this data. Let the first class be 50 - 59.
b.
Construct a cumulative frequency distribution.
c.
Construct a relative frequency distribution.
d.
Construct a cumulative relative frequency distribution.

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Definitions:

Probability

The likelihood of an event's occurrence assessed by a numerical scale extending from 0 to 1.

Sampling Distribution

The distribution of probabilities for a specific statistic derived from a random sample, illustrating the variation of the statistic across different samples.

Normally Distributed

A statistical term describing a bell-shaped distribution of data points, symmetric about the mean, where most observations cluster around the central peak and the probabilities for values further from the mean taper off equally in both directions.

Sample Means

The average value of a set of measurements or quantities taken from a larger population, used as an estimate of the overall population mean.