An estimate of the mean height is 181 and the modal class is 180 - 190
How to determine the mean?
The mean value is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
Using the values on the histogram, we have:
[tex]\bar x = \frac{155 * 4 + 165 * 10 + 175 * 14+ 185 * 18 + 195 * 8 + 205 *6}{4 + 10 + 14 + 18 +8 + 6}[/tex]
Evaluate
[tex]\bar x = \frac{10840}{60}[/tex]
Divide
[tex]\bar x = 180.67[/tex]
Approximate
[tex]\bar x = 181[/tex]
Hence, an estimate of the mean height is 181
Why is it the mean?
It is the mean because it represents the average height of the data values represented on the histogram
The modal class
This is the class that has the highest frequency.
From the given figure, the class 180 to 190 has the highest frequency
Hence, the modal class is 180 - 190
Read more about histogram at:
https://brainly.com/question/2962546
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