Find the median of the following sets of numbers.a 6, − 10, 8, 1, 15, 8, 3, 1, 2 b 5, − 7, 12, 7, − 3, 7, − 3, 11, 12c 12, 17, 7, 10, 2, 17, − 2, 15, 11, − 8 d − 2, − 1, − 3, 15, 13, 11, 14, 17, 1, 14
Question
Find the median of the following sets of numbers.a 6, − 10, 8, 1, 15, 8, 3, 1, 2 b 5, − 7, 12, 7, − 3, 7, − 3, 11, 12c 12, 17, 7, 10, 2, 17, − 2, 15, 11, − 8 d − 2, − 1, − 3, 15, 13, 11, 14, 17, 1, 14
Solution
Sure, let's find the median for each set of numbers.
The median is the middle number in a sorted, ascending or descending, list of numbers. If there is an even number of observations, the median will be the average of the two middle numbers.
a) 6, − 10, 8, 1, 15, 8, 3, 1, 2
First, sort the numbers in ascending order: -10, 1, 1, 2, 3, 6, 8, 8, 15
The median is the middle number, which is 3.
b) 5, − 7, 12, 7, − 3, 7, − 3, 11, 12
Sort the numbers: -7, -3, -3, 5, 7, 7, 11, 12, 12
The median is 7.
c) 12, 17, 7, 10, 2, 17, − 2, 15, 11, − 8
Sort the numbers: -8, -2, 2, 7, 10, 11, 12, 15, 17, 17
Since there are an even number of numbers, the median is the average of the two middle numbers (10 and 11), which is 10.5.
d) − 2, − 1, − 3, 15, 13, 11, 14, 17, 1, 14
Sort the numbers: -3, -2, -1, 1, 11, 13, 14, 14, 15, 17
The median is the average of the two middle numbers (11 and 13), which is 12.
Similar Questions
Find the median of the set of numbers below. 15, 16, 15, 7, 21, 18, 19, 20, 1115, 16, 15, 7, 21, 18, 19, 20, 11
Median of the following numbers: 3,5,6,8,9,5,3,7,1,2,0,4,7
Find the median: 8, 10, 12, 9, 6
The median of the following data is: 1, 7, 9, 3, 4, 5, 6
What is the median of the dataset: 6, 9, 12, 15, 18, 21, 24, 27, 30, 33?a.17b.18.5c.19.5d.20
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