Question

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

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.