Find the standard deviation in each of the following ways A. Directly form the i

Question

Find the standard deviation in each of the following ways A. Directly form the individual data B. Using the group data
Answers: A Approximately 21.55 b. 30, 32, 33, 31, 35 33, 33, 36, 3. 4. Twenty-five batteries were picked at random from an assembly line for testing. The life of each in number of hours was as follows: a. Group t e data into intervals of width 10 with midpoints of the intervals at 120, 130,.. nstruct a frequency table for the grouped data in part a. c. Draw a histogram for these d

Explanation / Answer

twenty five batteries picked
life of each in number of hours :

144, 162, 197, 173, 183, 129, 209, 190, 117, 160, 179, 177, 154, 132, 151, 159, 175, 154, 148, 166, 184, 157, 162, 150, 136

in ascending order we have:
117 129 132 136 144 148 150 151 154 154 157 159 160 162 162 166 173 175 177 179 183 184 190 197 209

Now we group the data into intervals of width 10 with midponts of the intervals at 120, 130, ....

(115.5-124.5) -

(125.5-134.5) -

135.5-144.5) -

(145.5-154.5) -

(155.5-164.5) -

(165.5-174.5) -

(175.5-184.5) -

(185.5-194.5) -

(195.5-204.5) -

(205.5-214.5) -

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