Math

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Introduction: Percentiles and Quartiles
Basic Skills
In a test, scores obtained
by 11 students were: 4, 4,
5, 6, 7, 8, 9, 9, 10, and
10.
Complete the table and find
the interval that contains
the median.
Test
Scores
Frequency
4-5
6-7
8-9
9-10
Read the data set and write in the
table the frequency of each
number.
Test
Scores
Frequency
4-5 3
6-7 2
8-9 3
9-10 3
Median is the middle value of the
data set (arranged in ascending
order).
Here, there are 11 observations
Median is the 6th
data(i.e.8). 8
lies in the interval 8-9.
Answer: 8-9
Basic Skills Practice
In a test, scores obtained
by 11 students were: 4, 4,
5, 6, 7, 8, 9, 9, 10, and
10.
Find the percentile rank for
a score of 8 on this test.
Locate the 8. Since there is only
one value equal to 8, it will be
counted as "half" of a data value
for the group "above 8" as well as
the group "below 8".
4, 4, 5, 6, 7, 8, 9, 9, 10, 10
4, 4, 5, 6, 7, 8, 9, 9, 10, 10
(number of scores below x) x 100
n
5.5 x 100 = 55
10
The score of 8 is at the 55th
percentile for this test.
Answer: 55