Answer:
B.
Mean: 16.1
Median: 16
Mode: 16
Step-by-step explanation:
First, order the numbers in the data set from least to greatest:
[tex]14 , 14 , 14 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 16 , 16 , 16 , 16 , 16 , 17 , 17 , 17 , 19 , 19 , 19 , 19[/tex]
First, find the mean. The mean of a data set can be found by adding all the numbers together and dividing by the amount of numbers in the set:
[tex]\frac{14 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 19 + 19 + 19 + 19}{22} = \frac{354}{22}[/tex]
Next, simplify by dividing:
[tex]\frac{354}{22} = \frac{177}{11} = 16 \frac{1}{11} or ~16.1[/tex]
Mean: 16.1
Next, find the median. The median is the number(s) directly in the middle. If there is a even amount of number in the data set, find the mean of the two median numbers:
Median: 16 , 16
Median = [tex]\frac{16 + 16}{2} = \frac{32}{2} = 16[/tex]
Median = 16
Next, find the mode. The median is the number that shows up the most. In this case, it is 16, which appears 6 times, 1 more time then the next number that appears the most 15, which appears 5 times.
Mode: 16
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If you are asked about range, range would be the greatest digit value subtracted by the least digit value. In this case, it would be 14 & 19:
19 - 14 = 5
Range: 5
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