Question

Please explain in full sentence for full credit

Answer 1

Answer:

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

Step-by-step 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: $\frac{n+1}{2}$ th number where $n=39$ for this problem

So, the middle number is : $\frac{39+1}{2}=\frac{40}{2}=20$th 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.