Find the median, mode, and range of the data in the stem-and-leaf plot below.
1 answer:
Answer:
The median is 31.5
The mode is 39
The range is 31
Step-by-step explanation:
The median is the middle number of arranged data from small to big in a set of data
The mode is the most repeated number in a set of data
The range is the difference between the greatest and the smallest numbers in a set of data
The data from stem-and-leaf plot are
11, 11, 12, 22, 22, 25, 27, 27, 36, 39, 39, 39, 39, 40, 42, 42
∵ There are 16 data
- There is no one middle number because the number of the
data is even, so the median will be the average of the
two middle numbers
∵ 16 ÷ 2 = 8
∴ The middle numbers are the 8th and the 9th numbers because
there are 7 numbers before them and seven numbers after them
∵ The 8th number = 27
∵ The 9th number = 36
∴ The median =
∴ The median = 31.5
∵ The mode is the most repeated number
∵ 39 is repeated 5 times and no other number repeated more
than 5 times
∴ The mode is 39
∵ The range = Greatest number - Smallest number
∵ The greatest number is 42
∵ The smallest number is 11
∴ The range = 42 - 11
∴ The range = 31
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