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.
If we are just studying these forty children, then they are the population. If we are studying a larger population (like the endurance of children in California) then these forty children are a sample.[br][br]For now, we are just studying these forty children.
If we take a sample of the first three data values we have {1880, 160, 1500} we can manually find the mean easily. [br]Add all the sample values together.[br]Divide by the number of values.[br]Then the sample mean is _ _.
(1880+165+1500)/3=3545/3 = 1181.7 feet[br][br]1880+165+1500=3545[br]3545/3 = 1181.7 feet
Is this mean a parameter or a statistic?
GeoGebra Graphing and most graphing calculators allow this to be done in one step. Mean( )[br]Because our data is labeled Feet we use Mean(Feet).[br]Find the mean distance ran by the forty children.
Is this mean a parameter or a statistic?
Mode is the value that occurs most frequently.[br]If we sort the data that will help us find value that occurs most frequently.[br]Looking at the dot plot, what is the mode distance these children ran?
Find the exact answer using the Mode( <data> ) function.
Mode(Feet) = 1500[br]1500 feet.
Is this mode a parameter or a statistic?
We can find the median 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]Then finding the value in the middle. Because 40 is even there will be two values.[br]What are the two middle values?
We take the average (mean) of these two values to find the median.[br]So, the median distance these forty children ran was _ _.
Is this median a parameter or a statistic?
We can also use GeoGebra function Median( <data> )[br]What is the median distance run by the children using technology?
Median( Feet ) 1130[br]1130 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.
For a sample of number { 1, 2, 3, 4, 4} find the three measures of center.
Mean is 2.8.[br]Median is 3.[br]Mode is 4.
For a sample of colors { green, green, white, yellow, yellow } find the center.
Mode color is green and yellow. The data is bimodal because there are two modes.[br]P.S. Categorical data can only have a mode. No other centers can be measured.