6.2. The Median http://www.ck12.org
Robert –22in. Sheldon –24in. Trevor –25in. Walter –26.5in.
Solution:
22, 23, 24, 25, 26.5, 27, 27, 27.5, 28
n+ 1
2 =
9 + 1
2 =5 The median is the number in the 5thposition.22 , 23 , 24 , 25 ,26.5, 27 , 27 , 27. 5 , 28
The median of the waist measurements is 26.5 inches.
Lesson Summary
The median is one of the other measures of Central Tendency and is often used in statistics. You know how to
compute the median of a given set of data when there is an even number of data and when there is an odd number of
data. On addition, you have also learned how to use the TI83 calculator to organize large number of data.
Points to Consider
- Is the median of a set of data useful in any other aspect of statistics?
- Is only the median of the entire set of data a useful value?
Review Questions
- Find the median of each of the following sets of numbers:
a. 25, 33, 38, 64, 56, 38, 35, 55, 48
b. 10, 20, 17, 12, 23, 22, 18, 25, 12, 21
c. 34, 45, 52, 37, 58, 49, 30, 29, 56, 41, 55, 38
d. 114, 101, 123, 112, 108, 128, 106, 118, 121 - The attendance of students in a Mathematics 10 class during one week was 31, 29, 28, 32, 33. What is the
median attendance? - The number of carrots needed to fill a ten pound bag were 169, 184, 176, 173, 171 and 181. What is the
median number of carrots? - The temperature at noon time was recorded for one week in May. The daily noon time temperatures recorded
were 82◦F, 80 ◦F, 70 ◦F, 68 ◦F, 76 ◦F, 74 ◦F, 64 ◦F. What was the median temperature? - A waitress received the following tips over a two-week period:
$35.00 $28.00 $33.00 $41.00 $27.00 $46.00 $39. 00
$25.00 $31.00 $36.00 $28.00 $43.00 $48.00 $36. 00What is the median of the tips she received?- Two dice were thrown together fifteen times and the results are shown below:
TABLE6.12:
Total Roll Frequency
2 2
5 1
4 3
11 2
6 1
10 1
12 2
9 2