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Question
kate recorded the number of minutes she read each day for the last two weeks in the table.
| week 1 | week 2 | |
|---|---|---|
| monday | 35 | 50 |
| tuesday | 50 | 45 |
| wednesday | 60 | 45 |
| thursday | 30 | 40 |
| friday | 35 | 30 |
| saturday | 50 | 50 |
how can kate figure out which week had the larger range in minutes read?
\\(\bigcirc\\) 1. order the minutes for each week.
- find the range for each week.
- compare the ranges.
week 1 had the larger range in minutes.
Step1: Recall range calculation rule
Range = Max value - Min value
Step2: Calculate Week 1 range
First, identify Week 1 values: 85, 35, 50, 60, 30, 35, 50. Max = 85, Min = 30.
$\text{Range}_1 = 85 - 30 = 55$
Step3: Calculate Week 2 range
Identify Week 2 values: 55, 50, 45, 45, 40, 30, 50. Max = 55, Min = 30.
$\text{Range}_2 = 55 - 30 = 25$
Step4: Compare the two ranges
$55 > 25$, so Week 1 has larger range.
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- Order the minutes for each week.
- Find the range for each week.
- Compare the ranges.
Week 1 had the larger range in minutes.