Math Problem Statement
Salary 98837 57380 100702 272500 90090 74235 65270 73877 66346 109739 52718 58456 76029 75311 108448 64553
a) For the data shown above, find the following.
Round the answer in the first blank to 1 decimal place(s).
In the second blank put the correct units.
Find the mean:
Find the median:
Find the range:
Find the standard deviation:
Solution
Here are the results for the given salary dataHere are the results for the given salary
- Mean: 90280.7 (rounded to 1 decimal place)
- Median: 74773
- Range: 219782
- Standard Deviation: 51906.8 (rounded to 1 decimal place)
Would you like further clarification on any of these results or more details on how they were calculated?
Here are some additional questions that you may find useful:
- How would the mean change if the highest salary were excluded?
- What is the difference between sample and population standard deviation?
- How does the range affect the overall data spread?
- What can be inferred from the large standard deviation in this dataset?
- What is the interquartile range for this data?
Tip: The standard deviation gives insight into how much variation exists from the mean. The larger the standard deviation, the more spread out the data is.
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Measures of Dispersion
Formulas
Mean = (Σx) / N
Median: Middle value after sorting the data
Range = Max value - Min value
Standard Deviation = sqrt((Σ(x - μ)^2) / N)
Theorems
Central Limit Theorem (for large data sets)
Suitable Grade Level
Grades 10-12
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