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Data Analysis (Central Tendancy (Median (Median is the middle number.,…
Data Analysis
Central Tendancy
Median
Median is the middle number.
Step 1- arrange the numbers from least to greatest
You would use it when the data has extreme values and there is no big gaps in the middle of the data
Step 2- find the middle number
Step 3-if there are 2 middle numbers, find the mean of the 2 numbers
Mode
When you find the mode you find the most repeated number in the line of numbers.
Example: say they gave you the numbers 1, 6, 8, 9, 5, 2, 5, 7, 9, 5,5 the mode would be 5 because it is repeated the most.
You use the mode when the data has many repeated numbers.
Mean
Step 1- add up all the numbers Ex: 8+10+12+18+22+26=96
Step 2-Divide the sum by the number of addens Ex: 96 divided by 6=16
Mean is the average
You would use it when the data has no extreme value
M.A.D
The M.A.D is the mean absolute deviation and when you do this you find the mean, then find the difference between each data point, lastly you find the mean of the difference.
Range
Example: say you have the numbers 1,2, 3, 4, 5, 6, 7, 8, 9, and 10 you would do 10-1=9 because 10 is the biggest number and 1 is the smallest number.
To do the range you subtract the smallest number from of the data by the biggest number from the data.
Histograms
A histogram is a graph that you plot data in but the numbers on the bottom are in a range. The numbers are in intervals and the bars touch.
Line plots
A line plot is a graph you plot numbers on
Box plots
First you have to find the median of all the numbers, then you find the median of the lower quartile and the median of the upper quartile, after that you find the least value and the greatest value, then you plot it.
Statistical Questions
Example : What is average amount of time that 9th graders spend studying.
These are questions that you need data to be able to answer.