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Concept explainers
Comparing Variations. Consider the following data sets.
a. Find the mean, median and range for each of the two data sets.
b. Give the five-number summary and draw a boxplot for each of the two data sets.
c. Find the standard deviation for each of the two data sets.
d. Apply the range rule of thumb to estimate the standard deviation of each of the two data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well.
e. Based on all your results compare and discuss the two data sets in terms of their center and variation.
17. Researchers at the Pennsylvania State University conducted experiments with poplar trees in which one group of trees was given fertilizer and irrigation while the other group was given no treatment. The weights in kilograms of trees in the two groups are as follows:
NO treatment: | 0.15 | 0.02 | 0.16 | 0.37 | 0.22 |
Treatment: | 2.03 | 0.27 | 0.92 | 107 | 2.38 |
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Chapter 6 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
- Solve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forwardA vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forward
- Solve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forwardSolve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forward
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