QUESTION IMAGE
Question
quiz scores
frequency (number of students)
points
which interval does the median test score fall within?
Step1: Calculate total number of students
$2 + 3+2 + 6+3 + 5=21$
Step2: Determine position of median
Since $n = 21$ (odd), the median is at the $\frac{n + 1}{2}=\frac{21+ 1}{2}=11$ - th position when data is arranged in ascending - order.
Step3: Find cumulative frequencies
For 40 - 49: cumulative frequency = 2; for 50 - 59: cumulative frequency = 2 + 3=5; for 60 - 69: cumulative frequency = 5+2 = 7; for 70 - 79: cumulative frequency = 7 + 6=13.
The 11 - th value falls within the 70 - 79 interval.
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70 - 79