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The measures give the description of the shape and the whisker plot from the data. The median is always placed in the middle of the center.
<h3>What is a graph?</h3>A graph is the diagrammatical representation of the data or information set that are illustrated in the form of vertical and horizontal coordinates.
The data given shows:
- Mean = 39,500
- Median = 20000
- Mode = 23000
- Minimum = 15,000
- Maximum = 255000
The whisker plot and the box shape are attached as an image below.
From the image, it can be seen that whiskers are at the right and left of the box, and the box initiates from the lower quartile to the upper quartile.
The median of the data is at the middle, the maximum is at the end of the right whisker, and the minimum is at the end of the left whisker.
Learn more about the whisker plot here:
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Answer:
The body temperature of a male at the 83rd percentile is 98.8°F.
Explanation:
The <em>n</em>th percentile implies that there are <em>n%</em> value below this percentile value.
That is, if P (<em>X </em><<em> x</em>) = n% then <em>x</em> is the <em>n</em>th percentile.
Let<em> </em><em>X</em> = male body temperature.
The random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 98.4°F and standard deviation, <em>σ</em> = 0.40°F.
Let <em>x</em> be the 83rd percentile value.
Then, P (X < x) = 0.83.
The value of <em>x</em> can be computed from the <em>z</em>-score.
Compute the <em>z</em>-score related to this probability as follows:
P (Z < z) = 0.83
*Use the <em>z</em>-table for the <em>z</em>-score.
The value of <em>z</em> is 0.95.
Compute the value of <em>x</em> as follows:
Thus, the body temperature of a male at the 83rd percentile is 98.8°F.