Consider the following data set. Round your answers to the nearest hundredth as needed.
\[
\begin{array}{lllll}
56 & 76 & 81 & 94 & 77 \\
94 & 69 & 73 & 60 & 94
{ Mean }=
Median =
Mode =
Range =
Sample Standard Deviation =
Answer
Final Answer: The mean of the data set is \(\boxed{77.4}\), the median is \(\boxed{76.5}\), the mode is \(\boxed{94}\), the range is \(\boxed{38}\), and the sample standard deviation is \(\boxed{13.71}\)
Step 1 ：Given the data set: \(56, 76, 81, 94, 77, 94, 69, 73, 60, 94\)
Step 2 ：To find the mean, add all the numbers together and divide by the count of numbers. The mean is \(\frac{56 + 76 + 81 + 94 + 77 + 94 + 69 + 73 + 60 + 94}{10} = 77.4\)
Step 3 ：To find the median, sort the numbers and find the middle number. If there is an even number of numbers, the median is the average of the two middle numbers. The sorted data set is \(56, 60, 69, 73, 76, 77, 81, 94, 94, 94\). The median is \(\frac{76 + 77}{2} = 76.5\)
Step 4 ：The mode is the number that appears most frequently in the data set. The mode is \(94\)
Step 5 ：The range is the difference between the highest and lowest values in the data set. The range is \(94 - 56 = 38\)
Step 6 ：The sample standard deviation is a measure of the amount of variation or dispersion of a set of values. It is calculated by taking the square root of the variance. The sample standard deviation is \(13.71\)
Step 7 ：Final Answer: The mean of the data set is \(\boxed{77.4}\), the median is \(\boxed{76.5}\), the mode is \(\boxed{94}\), the range is \(\boxed{38}\), and the sample standard deviation is \(\boxed{13.71}\)
