Answered

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This histogram shows the distribution of exam scores for a class of 33 students. which of the following is the most reasonable estimate for the median 50, 75, or 85?​

Sagot :

MrRoyal

Answer:

[tex]Median = 75[/tex]

Explanation:

Given

[tex]n = 33[/tex]

See attachment for histogram

Required

Determine the median

Median is calculated as:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{33+1}{2}th[/tex]

[tex]Median = \frac{34}{2}th[/tex]

[tex]Median = 17th[/tex]

From the histogram, the 17th entry fall in the class: 70 - 80

In this case: the median is the average of 70 and 80

So:

[tex]Median = \frac{1}{2}(70 + 80)[/tex]

[tex]Median = \frac{1}{2}(150)[/tex]

[tex]Median = 75[/tex]

View image MrRoyal
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