When a data set has an even number of elements, the median is calculated by
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Answer:
The lower quartile is thousand dollars.
The median quartile is thousand dollars.
The upper quartile is thousand dollars.
Step-by-step explanation:
The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.
The median quartile is the median value of a data set at the 50th percentile of a distribution.
The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.
To locate each quartile in a data set, we follow four steps:
Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55
Step 2: The median is given by where n is all scores in the data set.
Because n = 10, the median position is
The median is the average of the fifth and sixth positioned scores
Step 3: Compute where n is all scores below
.
For scores below , use only 23, 25, 33, 34, 39.
Because n = 5, the median position is
The median is the third positioned score:
Step 4: Compute where n is all scores above
.
For scores above , use only 39, 44, 45, 48, 55
Because n = 5, the median position is
The median is the third positioned score: