1. Measures of Center and Variation
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Multiply each given measure by 0.5.
Mean: 160
Median: 150
Mode: None
Range: 105
Standard Deviation: 35.3
Mean:320 Median:300 Mode:None Range:210 Standard Deviation:70.6 We are asked to find the values of the measures shown when each value in the data set is multiplied by 0.5. Recalling that when each value of a data set is multiplied by a real number k> 0, the measures of center and variation can be found by multiplying the original measures by k. With this in mind, let's find the new values of each measure shown.
Measure | Original Data Set | * 0.5 | New Data Set |
---|---|---|---|
Mean | 320 | 320 * 0.5 | 160 |
Median | 300 | 300 * 0.5 | 150 |
Mode | None | None | None |
Range | 210 | 210 * 0.5 | 105 |
Standard Deviation | 70.6 | 70.6 * 0.5 | 35.3 |