The five number summary:
The "five number summary", or five statistical summary", consists of
(1) the minimum, (2) the maximum, (3) the median, (4) the first quartile
and (5) the third quartile.
- The minimum – this is the smallest value in our data set.
- The first quartile – this number is denoted Q1 and 25% of our data falls below the first quartile.
- The median – this is the midway point of the data. 50% of all data falls below the median.
- The third quartile – this number is denoted Q3 and 75% of our data falls below the third quartile.
- The maximum – this is the largest value in our data set.
(1) the minimum, (2) the maximum, (3) the median, (4) the first quartile
and (5) the third quartile.
- The minimum – this is the smallest value in our data set.
- The first quartile – this number is denoted Q1 and 25% of our data falls below the first quartile.
- The median – this is the midway point of the data. 50% of all data falls below the median.
- The third quartile – this number is denoted Q3 and 75% of our data falls below the third quartile.
- The maximum – this is the largest value in our data set.
how to find a five number summary: steps
example 1- 1,2,5,6,7,9,12,15,18,19,27
Step 1: Put your numbers in order (from smallest to largest). For this particular data set, the order is: 1,2,5,6,7,9,12,15,18,19,27
Step 2: Find the minimum and maximum for your data set. Now that your numbers are in order, this should
be easy to spot. In the step 1, the minimum (the smallest) is 1 and the maximum (the largest) is 27.
Step 3: Find the median. The median is the middle number. (9)
Step 4: Place parentheses around the numbers above and below the median. It makes things easier (:
(1,2,5,6,7),9,(12,15,18,19,27).
Step 5: Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.
(1,2,5,6,7), 9, ( 12,15,18,19,27).
Step 6: Write down your final answers
minimum=1, Q1 =5, median=9, Q3=18, and maximum=27.