Question

The following data shows 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 92.75 and maximum value equal to 99

Which of the following is shown incorrectly in the box plot?
box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 92.75 and maximum value equal to 99

Which of the following is shown incorrectly in the box plot?

Median
Lower quartile
Upper quartile
Maximum value

Answer 1

any attempts to calculate any of these values?

median: organize the data from lowest to highest and select the middle value (if there are an even number of values, take the two middle ones and find the average)

max: the biggest value

lower quartile: take all the data values below the median (not including the median) and find the median of that half

upper quartile: take all of the data values above the median (not including the median) and find the median of that half

then see which one is not accurately represented on the box plot

(this is a bit tedious so using software can speed this up, just know how to obtain them manually)