Question

cookies for his school's bake sale. The list shows the number of cookies that were in eachbatch that Ed baked.11, 10, 24, 8, 20, 24, 30, 12, 23Which box-and-whisker plot correctly displays the information?

Answer 1

The given number of cookies are

11, 10, 24, 8, 20, 24, 30, 12, 23

At first, we should arrange them ascendingly (from small to big)

8, 10, 11, 12, 20, 23, 24, 24, 30

Now, we have to find the median (IQ2)

The median is the middle term of the data

Since there are 9 numbers, then the median is the 5th one

The 5th number is 20, then

The median is 20

IQ2 = 20

Now, we need to find the 1st and 3rd interquartile

The 1st interquartile is the median of the first 4 terms, then

`IQ1=(10+11)/(2)=10.5`

The 3rd interquartile is the median of the last 4 numbers, then

`IQ3=(24+24)/(2)=24`

Now, we can draw the box-and-whisker