The number of users that were logged into an Internet server was monitored every minute, over a period of 100 minutes. Here are the results:
88 | 138 | 140 | 1 71 | 112 | 91 | 1 93 |
84 | 146 | 134 | 1 72 | 104 | 91 | 204 |
85 | 151 | 131 | 1 72 | 102 | 94 | 208 |
85 | 150 | 131 | 1 74 | 99 | 101 | 210 |
84 | 148 | 129 | 1 75 | 99 | 110 | 215 |
85 | 147 | 126 | 1 72 | 88 | 121 | 222 |
83 | 149 | 126 | 1 72 | 88 | 135 | 228 |
85 | 143 | 132 | 1 74 | 84 | 145 | 226 |
88 | 132 | 137 | 1 74 | 84 | 149 | 222 |
88 | 131 | 140 | 1 69 | 88 | 156 | 220 |
91 | 139 | 142 | 1 65 | 89 | 165 |
|
99 | 147 | 150 | 1 56 | 88 | 171 |
|
1 04 | 150 | 159 | 1 42 | 85 | 175 |
|
112 | 148 | 167 | 1 31 | 86 | 177 |
|
1 26 | 145 | 170 | 1 21 | 89 | 182 |
|
Source: Time Series Data Library
(a) Group these measurements into 10 equal classes, (81-95, 96-110, etc.) and construct a frequency distribution table for the data.
(b) Draw a histogram of the distribution.
(c) Find the average number of users during the sample period.
(d) Using the histogram, estimate the probability of 141-165 users being logged in at any given time.
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