Here are data on the percentages of words of 1 to 15 letters used in articles in

Question

Here are data on the percentages of words of 1 to 15 letters used in articles in a popular magazine. Length 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Percent 3.6 14.8 18.8 15.9 12.4 8.2 8.2 5.9 4.5 3.5 2.1 1.0 0.6 0.4 0.1 Find the five-number summary of the distribution of word lengths from this table. Min = Q1 = M = Q3 = Max =
Here are data on the percentages of words of 1 to 15 letters used in articles in a popular magazine. Length 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Percent 3.6 14.8 18.8 15.9 12.4 8.2 8.2 5.9 4.5 3.5 2.1 1.0 0.6 0.4 0.1 Find the five-number summary of the distribution of word lengths from this table. Min = Q1 = M = Q3 = Max =
Here are data on the percentages of words of 1 to 15 letters used in articles in a popular magazine. Length 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Percent 3.6 14.8 18.8 15.9 12.4 8.2 8.2 5.9 4.5 3.5 2.1 1.0 0.6 0.4 0.1 Find the five-number summary of the distribution of word lengths from this table. Min = Q1 = M = Q3 = Max =

Explanation / Answer

Length   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15

Min = 1

Max = 15

Median, M = 8 the middle most number

First half of the series  1   2   3   4   5   6   7    8

median,Q1 = 4+5/2 = 4.5

Second half of the series  8 9   10   11   12   13   14   15

media,Q23 = 11+12 /2 = 11.5

Percent   0.1 0.4 0.6 1.0 2.1 3.5 3.6 4.5 5.9  8.2 8.2 12.4 14.8 15.9 18.8   

Min = 0.1

Max = 18.8

Median, M = 4.5 the middlemost number

First half of the series  0.1 0.4 0.6 1.0 2.1 3.5 3.6 4.5

median,Q1 = 1+2.1/2 = 1.55

Second half of the series  4.5 5.9  8.2 8.2 12.4 14.8 15.9 18.8

median,Q23 = 8.2+12.4 /2 = 10.3

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