type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction…

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar(s)\nthe table gives the mean and standard deviation of four data distributions\n| | mean | standard deviation |\n|--|--|--|\n| distribution 1 | 22 | 0.2 |\n| distribution 2 | 21 | 0.8 |\n| distribution 3 | 19 | 1.2 |\n| distribution 4 | 20 | 3.2 |\ndistribution has the greatest spread
Answer
Explanation:
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.
Answer:
4