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Please explain in full sentence for full credit

Please explain in full sentence for full credit-example-1

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Answer:

The median of the histogram is scores ranging from 70-80


Explanation:

Median of a histogram is always the "class interval" in which the MIDDLE NUMBER falls in.

If we add up all the bars (y-axis), we see HOW MANY NUMBERS in total there are. So we have:


1+2+1+2+6+9+13+5=39 numbers in total


What is the middle number out of 39 numbers?

It is:
(n+1)/(2) th number where
n=39 for this problem

So, the middle number is :
(39+1)/(2)=(40)/(2)=20th number


Which class interval does the 20th number fall into?

  • First class interval has 1, so total is 1
  • Second class interval has 2, so total is 1+2=3
  • Third class interval has 1, so total is 3+1=4
  • Fourth class interval has 2, so total is 4+2=6
  • Fifth class interval has 6, so total is 6+6=12
  • Sixth class interval has 9, so total is 12+9=21

So, definitely, 20th number falls into the sixth class interval which is "70-80".

Hence, the median of the histogram is scores ranging from 70-80.

User Cascadox
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