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the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.

The Histogram Shows The GPAs Of The Students In Georges Class Estimate The Mean Of The Data Set Displayed In The Histogram class=

Sagot :

Using the histogram, the mean of the data-set is estimated to be of 31.

  • The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.

In this problem, the intervals and relative frequencies are:

  • The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].
  • The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].
  • The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].
  • The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].

Hence, the mean is:

[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]

For more on mean of histograms, you can check https://brainly.com/question/24651197

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