After extensive research, Mr. Klapheck recorded the number of feet that 40 children age 10 will chase him while riding a unicorn Feet={1880, 160, 1500, 560, 640, 2180, 1240, 760, 480, 1940, 940, 740, 1320, 580, 660, 1100, 820, 1160, 1140, 1120, 1260, 760, 1360, 680, 440, 1540, 1760, 1260, 420, 2000, 1500, 520, 740, 1620, 1500, 1340, 820, 660, 1200, 2960} feet.
We are just studying the endurance of these forty children. So these 40 values are _.
We can find the range by first sorting the data.[br]Sort(Feet) = {160, 420, 440, 480, 520, 560, 580, 640, 660, 660, [br]680, 740, 740, 760, 760, 820, 820, 940, 1100, 1120, [br]1140, 1160, 1200, 1240, 1260, 1260, 1320, 1340, 1360, 1500, [br]1500, 1500, 1540, 1620, 1760, 1880, 1940, 2000, 2180, 2960}[br]The range is the greatest value minus the least value.[br]So the range distance these children will run after Klapheck riding a unicorn is _ _.
2960-160 = 2800[br]2800 feet
Is this range a parameter or a statistic?
To find standard deviation of a population in GeoGebra we can use either SD( population ) or stdevp( population )[br]To find variance of a population in GeoGebra use Variance( population ). Or just square the standard deviation.[br][br]Find standard deviation for the distance this population of children will follow a unicorn.
Find variance for the distance this population of children will follow a unicorn.
(567.06 feet)^2[br]321557.75 square feet
If we were studying the endurance of children in USA, then what is the population and sample?
Population is children in US.[br]Sample is the forty children.
Previously when computing numbers it did not matter whether the data was a sample or a population. For standard deviation and variance it does matter.[br]If we used the same method to find a sample's standard deviation and variance we would get numbers that were too small on average.[br]To find standard deviation of a sample in GeoGebra we can use either SampleSD( sample ) or stdev( sample )[br]To find variance of a sample in GeoGebra use SampleVariance( sample ). Or just square the standard deviation.[br][br]Find standard deviation for the distance this sample of children will follow a unicorn.
Find variance for the distance this sample of children will follow a unicorn.
(574.28 feet)^2 = [br]329797.52 square feet
For a sample of numbers { 1, 2, 3, 4, 4} find the three measures of variance.
Range is 3.[br]Standard deviation is 1.3038404810405 ~ 1.3[br]Variance is 1.7.
For a sample of colors { green, green, white, yellow, yellow } find the variation.
Categorical data can not be measured for spread. Variation only makes sense for quantitative data.
For which measurements will the numerical result be different if our data is a sample versus a population?