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Some biology students were interested in analyzing the
Chapter 6, Problem 1E(choose chapter or problem)
Some biology students were interested in analyzing the amount of time that bees spend gathering nectar in flower patches. Thirty-nine bees visited a high-density flower patch and spent the following times (in seconds) gathering nectar:
235 210 95 146 195 840 185 610 680 990
146 404 119 47 9 4 10 169 270 95
329 151 211 127 154 35 225 140 158 116
46 113 149 420 120 45 10 18 105
(a) Find the order statistics.
(b) Find the median and 80th percentile of the sample.
(c) Determine the first and third quartiles (i.e., 25th and 75th percentiles) of the sample.
Questions & Answers
QUESTION:
Some biology students were interested in analyzing the amount of time that bees spend gathering nectar in flower patches. Thirty-nine bees visited a high-density flower patch and spent the following times (in seconds) gathering nectar:
235 210 95 146 195 840 185 610 680 990
146 404 119 47 9 4 10 169 270 95
329 151 211 127 154 35 225 140 158 116
46 113 149 420 120 45 10 18 105
(a) Find the order statistics.
(b) Find the median and 80th percentile of the sample.
(c) Determine the first and third quartiles (i.e., 25th and 75th percentiles) of the sample.
ANSWER:
Step 1 of 4
Given that,
Some biology students were interested in analyzing the amount of time that bees spend gathering nectar in flower patches. Thirty-nine bees visited a high-density flower patch and spent the following times (in seconds) gathering nectar:
|
\(X_1\)= 235 |
\(X_2\)= 210 |
\(X_3\)= 95 |
\(X_4\)= 146 |
\(X_5\)= 195 |
\(X_6\)= 840 |
\(X_7\)= 185 |
\(X_8\)= 610 |
\(X_9\)= 680 |
\(X_{10}\)= 990 |
|
\(X_{11}\)= 146 |
\(X_{12}\)= 404 |
\(X_{13}\)= 119 |
\(X_{14}\)= 47 |
\(X_{15}\)= 9 |
\(X_{16}\)= 4 |
\(X_{17}\)= 10 |
\(X_{18}\)= 169 |
\(X_{19}\)= 270 |
\(X_{20}\)= 95 |
|
\(X_{21}\)= 329 |
\(X_{22}\)= 151 |
\(X_{23}\)= 211 |
\(X_{24}\)= 127 |
\(X_{25}\)= 154 |
\(X_{26}\)= 35 |
\(X_{27}\) = 225 |
\(X_{28}\)= 140 |
\(X_{29}\)= 158 |
\(X_{30}\)= 116 |
|
\(X_{31}\)= 46 |
\(X_{32}\)= 113 |
\(X_{33}\)= 149 |
\(X_{34}\)= 420 |
\(X_{35}\)= 120 |
\(X_{36}\)= 45 |
\(X_{37}\)= 10 |
\(X_{38}\)= 18 |
\(X_{39}\)= 105 |
Sample size, n = 39