Find the Five Number Summary 28 , 32 , 38 , 30 , 31 , 13 , 36 , 35 , 38 , 27 , 14 , 29 , 32 , 28 , 27 , 15

28 , 32 , 38 , 30 , 31 , 13 , 36 , 35 , 38 , 27 , 14 , 29 , 32 , 28 , 27 , 15
The five-number summary is a descriptive statistic that provides information about a set of observations. It consists of the following statistics:
1. Minimum (Min) – the smallest observation
2. Maximum (Max) – the largest observation
3. Median M – the middle term
4. First Quartile Q1 – the middle term of values below the median
5. Third Quartile Q3 – the middle term of values above the median
Arrange the terms in ascending order.
13,14,15,27,27,28,28,29,30,31,32,32,35,36,38,38
The minimum value is the smallest value in the arranged data set.
13
The maximum value is the largest value in the arranged data set.
38
Find the median.
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.
29+302
Remove parentheses.
29+302
592
Convert the median 592 to decimal.
29.5
29.5
Find the first quartile by finding the median of the set of values to the left of the median.
The lower half of data is the set below the median.
13,14,15,27,27,28,28,29
The median for the lower half of data 13,14,15,27,27,28,28,29 is the lower or first quartile. In this case, the first quartile is 27.
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.
27+272
Remove parentheses.
27+272
542
Divide 54 by 2.
27
Convert the median 27 to decimal.
27
27
27
Find the third quartile by finding the median of the set of values to the right of the median.
The upper half of data is the set above the median.
30,31,32,32,35,36,38,38
The median for the upper half of data 30,31,32,32,35,36,38,38 is the upper or third quartile. In this case, the third quartile is 33.5.
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.
32+352
Remove parentheses.
32+352
672
Convert the median 672 to decimal.
33.5
33.5
33.5
The five most important sample values are sample minimum, sample maximum, median, lower quartile, and upper quartile.
Min=13
Max=38
M=29.5
Q1=27
Q3=33.5
Find the Five Number Summary 28 , 32 , 38 , 30 , 31 , 13 , 36 , 35 , 38 , 27 , 14 , 29 , 32 , 28 , 27 , 15