select the correct answer. which distribution has the greatest spread?\n| | mean | standard deviation…

select the correct answer. which distribution has the greatest spread?\n| | mean | standard deviation |\n|--|--|--|\n| distribution 1 | 13.7 | 3.1 |\n| distribution 2 | 423.6 | 1.3 |\n| distribution 3 | 38.4 | 7.2 |\n| distribution 4 | 231.4 | 5.5 |\na. distribution 1\nb. distribution 2\nc. distribution 3\nd. distribution 4

select the correct answer. which distribution has the greatest spread?\n| | mean | standard deviation |\n|--|--|--|\n| distribution 1 | 13.7 | 3.1 |\n| distribution 2 | 423.6 | 1.3 |\n| distribution 3 | 38.4 | 7.2 |\n| distribution 4 | 231.4 | 5.5 |\na. distribution 1\nb. distribution 2\nc. distribution 3\nd. distribution 4

Answer

Explanation:

Step1: Recall measure of spread

Standard - deviation is a measure of spread. Larger standard - deviation means greater spread.

Step2: Compare standard - deviations

We have standard - deviations: 3.1 (Distribution 1), 1.3 (Distribution 2), 7.2 (Distribution 3), 5.5 (Distribution 4). Since (7.2>5.5 > 3.1>1.3), Distribution 3 has the greatest spread.

Answer:

C. Distribution 3