Calculate the mean, median, mode , range and standard deviation for the following 11 observations.
67, 66, 71, 33, 63, 72, 74, 58, 78, 75,67.
Answers
Answer:
Average Calculator.
Calculate Average and Range
Enter Your Numbers to Right
With a Comma Between Each
E.g: 3, 19, 9, 7, 27, 4, 8, 15, 3, 11
Math Definition
Mean:
The average of all the data in a set.
Median:
The value in a set which is most close to the middle of a range.
Mode:
The value which occures most frequently in a data set.
Range:
The difference between the largest and smallest data in a data set
.
Example Calculation
Calculate the mean, median, mode and range for 3, 19, 9, 7, 27, 4, 8, 15, 3, 11.
How to Find the Mean (or Average Value)
To figure the mean, add up the numbers, 3+3+4+7+8+9+11+15+19+27=106 then divide it by the number of data points 106/10=10.6.
How to Find the Median::::::::
In ascending order the numbers are 3, 3, 4, 7, 8, 9, 11, 15, 19, 27. There are 10 total numbers, so the 5th and 6th numbers are used to figure the median. (8+9)/2 = 8.5
If there were 9 numbers in the series rather than 10 you would take the 5th number and would not need to average the 2 middle numbers. The 2 middle numbers only need to be averaged when the data set has an even number of data points in it.
Step-by-step explanation:
How to Find the Mode:::
The only number which appears multiple times is 3, so it is the mode.
How to Find the Range::::::
To figure the range subtract the smallest number from the largest number 27-3=24.