QUESTION IMAGE
Question
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar(s)
the table gives the mean and standard deviation of four data distributions
| mean | standard deviation | |
|---|---|---|
| distribution 2 | 21 | 0.8 |
| distribution 3 | 19 | 1.2 |
| distribution 4 | 20 | 3.2 |
distribution has the greatest spread
Step1: Understand spread measure
Spread in a data - distribution is measured by standard deviation. Larger standard deviation means larger spread.
Step2: Compare standard deviations
We have standard deviations 0.2, 0.8, 1.2, 3.2 for Distribution 1, 2, 3, 4 respectively.
Step3: Identify the largest
Among 0.2, 0.8, 1.2, 3.2, the largest value is 3.2 which corresponds to Distribution 4.
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