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WILL GIVE BRAINLIEST!!! 12 POINTS!!!!

The table below shows the quiz grades for two students.

Drew 90 81 86 79 97 84 92
Nancy 96 68 91 94 69 99 92

Which statement is true about the data above?

* The students have the same mean, but Nancy's quiz grades have a higher interquartile range.
* The students have the same mean, but Drew's quiz grades have a higher interquartile range.
* The students' grades have the same interquartile range, but Drew has a higher mean.
* The students' grades have the same interquartile range, but Nancy has a higher mean.

Respuesta :

mathmate
Given 
data set for Drew : [90,81,86,79,97,84,92], sorted : [79,81,84,86,90,92,97]
mean, μ 1 =(79+81+84+86+90+92+97)/7=87
Interquartile range, IQR 1 = (92-81)=11
data set for Nancy: [96,68,91,94,69,99,92], sorted : [68,69,91,92,94,96,99]
mean, μ 2 = (68+69+91+92+94+96+99)/7=87   Therefore the means are the same
Interquartile range, IQR 2 = 96-69 = 27      Therefore Nancy has a higher IQR
Note: There are different ways to calculate quartiles.  Above method excludes median, which is how it is taught in many schools.

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