Elena and Betsy want to compare their test grades from algebra class this year. Elena scored 75, 85, 85, 90, and 95 on her tests, and Betsy scored 84, 84, 85, 86, and 86 on her tests. Who had the greater mean test score? Who had the greater median test score? Who had the greater interquartile range (IQR) ?

Elena had the greater mean test score

Betsy and Elena has the same median score

Elena had the greater interquartile range

Step-by-step explanation:

Elena scored 75, 85, 85, 90, and 95

The mean is (75+85+85+90+95) / 5 = 430/5 = 86

The median is the middle number when in order from smallest to largest = 85

The IQR is IQ3 - IQ1 =

The IQ3 is the middle of the upper half which is (90+95) / 2 = 92.5

IQ1 = (75+85) / 2 = 80

IQ3 - IQ1 = 92.5-80 = 12.5

Betsy scored 84, 84, 85, 86, and 86

The mean is (84+84+85+86+86) / 5=425/5 = 85

The median is the middle number when in order from smallest to largest = 85

The IQR is IQ3 - IQ1 =

The IQ3 is the middle of the upper half which is (86+86) / 2 = 86

IQ1 = (84+84) / 2 = 8

IQ3 - IQ1 = 86-84 = 2

Elena had the greater mean test score

Betsy and Elena has the same median score

Elena had the greater interquartile range