The following data values are scores on a recent 250-point final given in one of my classes.
225 170 230 180 205 239 217 212 217 161 221 199 240 181 176 234 227 231 220 183 145 175 237 234 221 110 213 217 239 241
what percent of the values (to the nearest tenth of a percent) are within 1.8 standard deviation of the mean?
interval of 1.8 standard deviation of mean is
(206.667 -1.8 x 32.255, 206.667 + 1.8 x 32.255)
(148.608,264.726)
values within interval are
225 170 230 180 205 239 217 212 217 161 221 199 240 181 176 234 227 231 220 183 175 237 234 221 213 217 239 241
(28/30)*100
93.33%
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