Jack and Jill are two students in Mrs.Juliano's math class.On the last five quizzes,Jack scored an 80,90,95,85, and 70. Jill sco
red a 70,75,90,100, and 95.
Find the median and interquartile range for each student.
Which student's quiz grades are more consistent?
1 answer:
Median = it is the middle value, which split the higher half from the lower half of the data
To find it order the data:
Jack: 70, 80, 85, 90, 95 => median = 85
Jill: 70, 75, 90, 95, 100 => median = 90
Interquartile range, IQR = Percentil 75th - Percentil 25th
Jack:
Percentil 75% = Q3
5 data * 75% = 3.75 => the next value (over the 3rd) is the 4th => Q3 = 90
Percentil 25% = Q1
5 data * 25% = 1.25 => the next value (over the first) is the 2nd => Q1 = 80
Interquartile range = Q3 - Q1 = 90 - 80 = 10
Jill:
Q3 = fourth value = 95
Q1 = second value = 75
IQR = Q3 - Q1 = 95 - 75 = 20
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