Answer:
Interquartile ranges of Jessie’s original scores = 20
Interquartile ranges of Jessie’s new scores = 15
Step-by-step explanation:
Interquartile range IQR = Higher quartile (Q3) - lower quartile (Q1)
Where Q3 is the mid-value of the second half of a dataset and
Q1 is the mid-value of the first half of a dataset.
Original score = 45, 65, 70, 80, 85, 100
Q1 of original score:
First half of original score = 45, 65, 70
Therefore Q1 = 65
Q3 of original score:
Second half of original score = 80, 85, 100
Therefore Q3 = 85
:. Interquartile range IQR of original score = Q3 of original score - Q1 of original score
:. IQR = 85 - 65 = 20
New score = 65, 70, 80, 85
Q1 of new score:
First half of new score = 65, 70
Therefore Q1 = (65+70)/2 = 67.5
Q3 of new score:
Second half of new score = 80, 85
Therefore Q3 = (80 + 85)/2 = 82.5
:. Interquartile range IQR of new score = Q3 of new score - Q1 of new score
:. IQR = 82.5 - 67.5 = 15
Therefore:
Interquartile ranges of Jessie’s original scores = 20
Interquartile ranges of Jessie’s new scores = 15
