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Counties, Divisions, or Parishes for 50 States The number of counties, divisions, or parishes for each...

Counties, Divisions, or Parishes for 50 States The number of counties, divisions, or parishes for each of the 50 states is given below. Use the data to construct a grouped frequency distribution with 6 classes, a histogram, a frequency polygon, and an ogive. Analyze the distribution. 67 27 15 75 58 64 8 67 159 5 102 44 92 99 105 120 64 16 23 14 83 87 82 114 56 93 16 10 21 33 62 100 53 88 77 36 67 5 46 66 95 254 29 14 95 39 55 72 23 3 Source: World Almanac and Book of Facts.
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Answer #1

Minimum : 3, Maximum: 254

Number of classes required: 6

Class width = (maximum -minimum) /6= (254-3)/6=41.83

Hence, the required class width is 42.

Following table shows the grouped data, cumulative frequency :

Class limits LowerUppM Midpoint-(lower+upper)/2 Frequency 45 87 129 Cumulative frequency 19 17 12 24 19 36 48 49 49 50 45 87 129 108 150 192 234 213 255 0 213

Following is the histogram:

Following is the frequency polygon:

Frequency Polygon 20 1 16 14 12 10 6 4 0 0 24 108 150 192 234 276 Classes mid points

Ogive:

Ogive 60 50 40 a 30 5 20 10 0 45 87 129 213 255 Upper limit

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