1. The Minitab data set called sparrow Contains the lengths (in thousandths of a
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Question
1. The Minitab data set called sparrow Contains the lengths (in thousandths of an inch) of the humerii of sparrows that survived and of sparrows that perished during a severe winter storm in Boston, in the 1890’s. For the humerus lengths for the sparrows that perished, generate the “graphical summary” of these data (cut & paste this into your Word file). Answer the following questions.f. In the boxplot below the histogram, tell me the numerical value (to two decimals) of
i. The value indicated by the asterisk on the left
ii. The value indicated by the left-side of the box
iii. The value indicated by the line inside the box
iv. The value indicated by the right-side of the box.
Explanation / Answer
A box plot is a graph of the five-number summary The five-number summary of a set of observations consists of the smallest observation, the first quartile, the median, the third quartils and the largest observation, written in order from the smallest to the largest The five-number summary is in symbols: Minimum Q1(first quartile) M(Median) Q3(third quartile) Maximum The graph of the box plot contains: 1) a central box, which spans the quartiles Q1 and Q3 2) A line in the box marking th emedian M 3) The asterix symbol to the left indicating the smallest observation and the asterix symbol to the right indicating the largest observation i. The value indicated by the asterisk on the left is the smallest observation ii. The value indicated by the left-side of the box is the first quartile value Q1 iii. The value indicated by the line inside the box is the medain iv. The value indicated by the right-side of the box is the third quartile value Q3
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