Respuesta :
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Place the numbers from the least to greatest
[tex]3,6,12,16,30,42,49,50,55,64,67,84,87,89,90[/tex]STEP 2: Find the median
The median is the number in the middle position. The middle position will be the 8th and the number there is 50.
Median is 50
STEP 3: Find the lower quartile
The lower quartile is the median of the data set to the left of the median
[tex]\begin{gathered} The\text{ data are:} \\ (3,6,12,16,30,42,49) \\ median=16 \\ Q1=16 \end{gathered}[/tex]16 is the lower quartile
STEP 4: Find the upper quartile
The upper quartile is the median of the data set to the right of the median
[tex]\begin{gathered} (55,64,67,84,87,89,90) \\ median=84 \\ Q3=84 \end{gathered}[/tex]84 is the upper quartile
STEP 5: Find the maximum and minimum of the data
[tex]\begin{gathered} Minimum=3 \\ Maximum=90 \end{gathered}[/tex]STEP 6: Find the Interquartile range
[tex]Q3-Q1=84-16=68[/tex]Hence, the 5-number summary is given as:
Minimum = 3
Lower quartile = 16
Median = 50
Upper quartile = 84
Maximum = 90
