Question

In: Statistics and Probability

Using the data set below: Score Frequency 20-30 5 30-40 8 40-50 13 50-60 12 60-70...

Using the data set below:

Score

Frequency

20-30

5

30-40

8

40-50

13

50-60

12

60-70

5

  1. Draw a Histogram
  2. Draw a polygon
  3. After listening to YouTube “histogram and polygon,” explain how histogram is different and similar to polygon.

Solutions

Expert Solution

The difference between Histogram and Frequency Polygon :

A histogram has many points that are represented by the rectangles. The rectangles are formed by the x and y axis points. The top of the rectangle is the x axis. There are many of these little rectangles on the Histogram.Rectangle consider class width as rectangle width. And class frequency is rectangle height. In case of histogram, it is supposed that they are evenly spread over the class interval.

The Frequency Polygon is plot the frequency point on the graph then join by line. Frequency point consider as knots on line.
Frequency ploygon consider mid-point between class interval as x-values and frequency as y- values. In case of frequency polygon, it is assumed that all frequencies in a particular class are concerned at the mid point of that class.

Frequency polygon is an improvement over histogram because it provides a continuous curve indicating the causes of rise and fall in the data.

PL??


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