The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents the data:
box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89 and maximum value equal to 94
Which of the following is shown incorrectly in the box plot?
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min 74 max 94
Good! so they are correct. You will have to look elsewhere.
Step 1: sort the numbers in ascending order.
Step 2: verify the values of the minimum and the maximum to see if they are correct.
step 3: find the median (of 12 pieces of data) which is the mean (average) of the two middle numbers (the 6th and 7th from the sorted list).
Compare with the reported value to look for mistake.
Step 4: find the first quartile (Q1) which is the average between the 3rd and 4th numbers from the sorted list.
Step 5: find the third quartile (Q3) which is the average between the 9th and 10th numbers from the sorted list.
Verify and look for the mistake reported.