Question

B. Cans of soda vary slightly in weight. Given below are the measured weights of nine cans, in pounds.

0.8159
0.8192
0.8142
0.8164
0.8172
0.7902
0.8142
0.8123
0.8139

1. Find the mean, mode, and median of these weights.

2. Which, if any, of these weights would be considered an outlier?

* * What are the mean and median weights if the outlier is excluded?

3. What would you report as the weight of a typical can of soda?

Answer 1

Given data

Xi
0.8159
0.8192
0.8142
0.8164
0.8172
0.7902
0.8142
0.8123
0.8139

1)

n=total number of tin =9

mean =0.81261

Mode =0.8142 most repetitive number , two times we got this.

Values in decending order

0.7902
0.8123
0.8139
0.8142
0.8142
0.8159
0.8164
0.8172
0.8192

median =0.8142 midle weight of the table ,5th weight.

2)

Scattered chart for above weighment.

from scatter chart. the red point (0.7902) is the outlier. all other weights we got near by 0.81XX only

mean and median weights After the outlier is excluded.

Table after outlier excluded.

Xi
0.8159
0.8192
0.8142
0.8164
0.8172
0.8142
0.8123
0.8139

Mean =0.8154

median =0.81505

3. Most of the company put the average weighment.

so we can report the average weighment after excluded the outlier.

Mean =0.8154