select the correct answer. 16, 22, 17, 23, 22, 16, 25, 19 17, 23, 20, 28, 35, 21, 32, 21 the data set above…

select the correct answer. 16, 22, 17, 23, 22, 16, 25, 19 17, 23, 20, 28, 35, 21, 32, 21 the data set above displays the ages of the employees at grind coffee shop. which of the following box plots represents the data set above? grind coffee shop employees 16 18 20 22 24 26 28 30 32 34 36 age (years) w. grind coffee shop employees 16 18 20 22 24 26 28 30 32 34 36 age (years) x. grind coffee shop employees 16 18 20 22 24 26 28 30 32 34 36 age (years) y. grind coffee shop employees 16 18 20 22 24 26 28 30 32 34 36 age (years) z.
Answer
Explanation:
Step1: Arrange data in ascending order
16, 16, 17, 17, 19, 20, 21, 21, 22, 22, 23, 23, 25, 28, 32, 35
Step2: Find the minimum value
The minimum value is 16.
Step3: Find the first - quartile (Q1)
There are 16 data points. The position of Q1 is $\frac{16 + 1}{4}=4.25$. So, Q1 is between the 4th and 5th ordered data points. Q1=$\frac{17 + 19}{2}=18$.
Step4: Find the median (Q2)
The position of the median is $\frac{16}{2}=8$ and $\frac{16}{2}+ 1 = 9$. So, Q2=$\frac{21+22}{2}=21.5$.
Step5: Find the third - quartile (Q3)
The position of Q3 is $\frac{3(16 + 1)}{4}=12.75$. So, Q3 is between the 12th and 13th ordered data points. Q3=$\frac{23+25}{2}=24$.
Step6: Find the maximum value
The maximum value is 35.
Step7: Match with box - plots
Based on the minimum (16), Q1 (18), Q2 (21.5), Q3 (24), and maximum (35), we can match the correct box - plot.
Answer:
(Without seeing the actual visual differences between W, X, Y, Z clearly, assume we have determined the correct one through the above - calculated values. If we had to choose based on the above values, we would pick the box - plot with minimum at 16, Q1 at 18, median at 21.5, Q3 at 24 and maximum at 35. But since the visual options are not described textually well enough, we can't give a specific lettered answer. If you can provide more details about the box - plots, we can give a definite answer.)