Statistics Examples
11 , 22 , 33 , 44 , 55
Step 1
There are 55 observations, so the median is the middle number of the arranged set of data. Splitting the observations either side of the median gives two groups of observations. The median of the lower half of data is the lower or first quartile. The median of the upper half of data is the upper or third quartile.
The median of the lower half of data is the lower or first quartile
The median of the upper half of data is the upper or third quartile
Step 2
Arrange the terms in ascending order.
1,2,3,4,51,2,3,4,5
Step 3
The median is the middle term in the arranged data set.
33
Step 4
The lower half of data is the set below the median.
1,21,2
Step 5
Step 5.1
The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.
1+221+22
Step 5.2
Remove parentheses.
1+221+22
Step 5.3
Add 11 and 22.
3232
Step 5.4
Convert the median 3232 to decimal.
1.51.5
1.51.5
Step 6
The upper half of data is the set above the median.
4,54,5
Step 7
Step 7.1
The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.
4+524+52
Step 7.2
Remove parentheses.
4+524+52
Step 7.3
Add 44 and 55.
9292
Step 7.4
Convert the median 9292 to decimal.
4.54.5
4.54.5
Step 8
The midhinge is the average of the first and third quartiles.
Midhinge=Q1+Q32Midhinge=Q1+Q32
Step 9
Substitute the values for the first quartile 1.51.5 and the third quartile 4.54.5 into the formula.
Midhinge=1.5+4.52Midhinge=1.5+4.52
Step 10
Step 10.1
Add 1.51.5 and 4.54.5.
6262
Step 10.2
Divide 66 by 22.
33
33