Complete: Chapter 3 Pr Back to Assignment Attempts 4. Computing the median for d

Question

Complete: Chapter 3 Pr Back to Assignment Attempts 4. Computing the median for discrete and continuous variables Consider the sample of r,-5 scores whose frequency distribution histogram is shown here. Average: 15 Olvides Area in Haif The total area in the histogram-boxes. Half the area in histogram “ boxes. Add a vertical line to the frequency dstribution histogram that divides the total area exactly in half. In other words, place the vertical line so that it makes the area on the right anid leift of the line equal (Hint: Dreg the line lobeled Divides Area in Half onto the graph. First, same vertical grid line; avoid positioning either circle on the edge of the graph area. Then grab the ine by a point that is not one of the circles to side it to its correct posalon ) make sure your ling is vertical by positiaining its two circle symbols on the Assume that the scores are messurements of a discrete varioble, Find the med 21

Explanation / Answer

total area of histogram =total no. of frequency

total frequency=1+1+2+1=5

total area of histogram =5 boxes

half the area histogram= 5/2 = 2.5 boxes

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vertical line will be placed at 3.25 which will divide the area in exactly half.( in third column in graph )

Now clearly when the scores are measured on a discrete variable basis, then the median is 3

and when they are measured on the continuous variable basis, the median is computed to be 3.25

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