Answer:
Range = 58
Mean = 25.81
Median = 17
Mode = 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60
Upper Quartile = 11
Lower Quartile = 48
Step-by-step explanation:
Start by putting all of the values in order from least to greatest.
16, 18, 12, 9, 17, 2, 41, 48, 50, 60, 11
becomes
2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60
Range
The range is the difference between the highest and lowest value. So in this case, it's 58, because 60 - 2 = 58
Mean
The mean is another word for the average. To calculate the average, add all of the values and divide the sum by the number of values.
2 + 9 + 11 + 12 + 16 + 17 + 18 + 41 + 48 + 50 + 60 = 284
There are 11 values, so divide the sum (284) by 11:
284 / 11 = 25.8181818.
That rounds to 25.81
Median
The median is the middle value of the data set.
In 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60 the middle value is 17. It has 5 values on each side of it.
Mode
The mode is the number that appears the most in the data set. Each value only appears once, so the mode is the entire list of numbers. 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60
Upper Quartile
The upper quartile of a data set is the median of the numbers that are to the left of the median for the entire data set. The median is 17, so the numbers to the left are 2, 9, 11, 12, and 16. The median of those is 11 because it is in the middle. So the upper quartile is 11.
Lower Quartile
The lower quartile is found the same way the upper quartile is, but it's the median of the numbers to the <em>right</em>. The numbers to the right of 17 are
18, 41, 48, 50, and 60. The median of those is 48 because it's in the middle. So the lower quartile is 48.
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