The median of a data set is the middle value of the data set. For a data set with an odd number of members, it is the member of the data set with just as many values less than its value as greater than it. For a data set with an even number of members, it is the average of the two middle values of the data set. The median is used in statistics to analyze a data set.
Step | Directions | Example |
---|---|---|
For data sets with an odd number of members | ||
Starting data set | { 1, 8, 4, 3, 9, 3, 6, 4, 7, 5, 2 } | |
1 | To find the median of a data set, first order all the members of the data set from lowest to highest. | { 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9 } |
2 | Count the number of members in the data set. | There are 11 members of the data set. |
3 | Divide the number of members by 2 and round down. | 11 / 2 = 5.5 ≈ 5 |
4 | There are five members before the median and five members after the median. Count the members from the ordered data set. The median is the member after the fifth member. | { 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9 } |
For data sets with an even number of members | ||
Starting data set | { 1, 8, 4, 3, 9, 3, 6, 7, 5, 2 } | |
1 | To find the median of a data set, first order all the members of the data set from lowest to highest. | { 1, 2, 3, 3, 4, 5, 6, 7, 8, 9 } |
2 | Count the number of members of the data set. | There are 10 members of the data set. |
3 | Divide the number of members of the data set by 2. | 10 / 2 = 5. |
4 | Calculate the average of the 5^{th} and 6^{th} members of the data set. | 4 + 5 = 9. 9 / 2 = 4.5 |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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