matteo continues to track weekly expenses and wants to analyze the spread for two weeks. the ranges and…

matteo continues to track weekly expenses and wants to analyze the spread for two weeks. the ranges and standard - deviations are in the table. which statements are true regarding matteos data? select two correct statements. week 1 shows a greater spread based on the ranges. week 2 shows a greater amount of variation from the mean based on the standard deviations. week 1 and week 2 have the exact same

matteo continues to track weekly expenses and wants to analyze the spread for two weeks. the ranges and standard - deviations are in the table. which statements are true regarding matteos data? select two correct statements. week 1 shows a greater spread based on the ranges. week 2 shows a greater amount of variation from the mean based on the standard deviations. week 1 and week 2 have the exact same

Answer

Explanation:

Step1: Recall range and standard - deviation concepts

Range is the difference between the maximum and minimum values. Standard deviation measures the amount of variation or dispersion of a set of values.

Step2: Analyze the range values

The range for Week 1 is $10$ and for Week 2 is $8$. Since $10>8$, Week 1 has a greater spread based on the ranges.

Step3: Analyze the standard - deviation values

The standard deviation for Week 1 is $3.16$ and for Week 2 is $2.87$. Since $3.16 > 2.87$, Week 1 has a greater spread based on the standard deviations.

Answer:

Week 1 shows a greater spread based on the ranges; Week 1 and Week 2 have the exact same variation from the mean based on the standard deviations.