the wait times at a restaurant are shown. select the three statements that describe the data set. restaurant…

the wait times at a restaurant are shown. select the three statements that describe the data set. restaurant wait times time in minutes 15 16 17 18 19 20 the data set has an even number of values. the data set has an odd number of values. the median is one of the values in the data set. the median is not one of the values in the data set. the median is 17 minutes. the median is 18 minutes.
Answer
Explanation:
Step1: Count data - set values
Count the number of dots in the dot - plot. There are 1 + 5+ 1+ 2+ 3 = 12 values. Since 12 is an even number, the data set has an even number of values.
Step2: Calculate the median position
For a data set with (n) values (where (n = 12)), the median is the average of the (\frac{n}{2})th and ((\frac{n}{2}+ 1))th ordered values. (\frac{n}{2}=\frac{12}{2}=6) and (\frac{n}{2}+1 = 7).
Step3: Order the data and find median
Ordering the data values from the dot - plot: 15 (1 time), 16 (5 times), 17 (1 time), 18 (2 times), 19 (3 times). The 6th and 7th ordered values are both 16. The median is (\frac{16 + 16}{2}=16), so the median is one of the values in the data set.
Answer:
The data set has an even number of values. The median is one of the values in the data set.