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A set of data has the following values: 47, 34, 39, 25, 32, 17, 45, 50, 62, 64, 48, 54, 39, 22, 42, 17, 47, 34, 67. Calculate the median, range, mode, and mean.
Mathematics
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4 partsStep-by-step solution
8 stepsHere are the answers to your questions.
Part 1
Part a
Step 1: List the data in ascending order.
Determine the number of data points.
There are data points.
Calculate the position of the median.
The median is the -th value.
Identify the median value.
The value in the ordered list is 42.
The median is .
Part b
Step 1: Identify the maximum and minimum values.
Maximum value = 67
Minimum value = 17
Calculate the range.
The range is , which confirms the statement that the range is 50%.
Part c
Step 1: Count the frequency of each data point.
- 17 appears 2 times
- 22 appears 1 time
- 25 appears 1 time
- 32 appears 1 time
- 34 appears 2 times
- 39 appears 2 times
- 42 appears 1 time
- 45 appears 1 time
- 47 appears 2 times
- 48 appears 1 time
- 50 appears 1 time
- 54 appears 1 time
- 62 appears 1 time
- 64 appears 1 time
- 67 appears 1 time
Identify the value(s) with the highest frequency.
The values 17, 34, 39, and 47 all appear 2 times, which is the highest frequency.
The mode is .
Part d
Step 1: Sum all the data points.
Divide the sum by the number of data points.
Round the mean to two decimal places.
The mean is .
Part 2
Part 2.1· 1 step
Step 1: Locate Neuwied and Mainz on the map.
Use the compass rose to determine the direction of Neuwied relative to Mainz.
Neuwied is located to the *north
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