Answer:
Minimum = 14
[tex]Q_1=23[/tex]
Median = 32
[tex]Q_3=49[/tex]
Maximum = 65
Step-by-step explanation:
Step 1: Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is
14, 18, 28, 29, 32, 44, 48, 50, 65
Step 2: Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.
Minimum = 14
Maximum = 65
Step 3: Find the median. The median is the middle number. The middle number in your list is 32, so
Median = 32
Step 4: Place parentheses around the numbers above and below the median.
(14, 18, 28, 29), 32, (44, 48, 50, 65)
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.
First quartile
[tex]\bf{Q_1=\dfrac{18+28}{2}=\dfrac{46}{2}=23}[/tex]
Third quartile
[tex]\bf{Q_3=\dfrac{48+50}{2}=\dfrac{98}{2}=49}[/tex]
Step 6: Write down your summary found in the above steps.
Minimum = 14
[tex]Q_1=23[/tex]
Median = 32
[tex]Q_3=49[/tex]
Maximum = 65
