Identify the in the data setThen find the mean, median, and mode of the data set when the outlier is included and when it is not 219 203 133 178 232 144 55 11 121 235 190 106 380 87 Identify the Type a whole number )

Answer 1

The outlier in the data set is 380.

Mean (including outlier) = (219+203+133+178+232+144+55+11+121+235+190+106+380+87) / 14 = 171.36
Mean (excluding outlier) = (219+203+133+178+232+144+55+11+121+235+190+106+87) / 13 = 156.15

To find the median, we first need to order the data set from smallest to largest: 11, 55, 87, 106, 121, 133, 144, 178, 190, 203, 219, 232, 235, 380.

Median (including outlier) = (144+178) / 2 = 161
Median (excluding outlier) = (144+178) / 2 = 161

The mode is the value that appears most frequently in the data set. In this case, there is no mode as no value appears more than once in the data set.