Question

Create a box and whisker plot for the average daily temperatures in Tucson, Arizona, in December: 67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63

Answer 1

A box and whisker plot creates a five-point summary from the given numbers.

First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.
Second, we'll find the median Q2 - (58+58) / 2 = 58
Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5
Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5

Then we graph (see attached picture)

Answer 2

Normal Distributions

I couldn't see the whole graph in the answer above, but using the quartiles, I chose graph A and that was right.

1. b. mean=75.8, median=76.5, mode=63

2. a. dots at 50, 53.5, 58, 62.5, and 67

3. c. 30th percentile=105, 90th percentile=176.

This is a controversial question because some of the numbers repeat, but as of 5/19, answer c is right.

4. d. mean=8, variance=18.3, standard deviation=4.3

5. a. 2

6. b. 22%

7. d. a^6-30d^5+375d^4-2,500d^3+9,375d^2-18,750d+15,625

8. a. 93%

9. b. 16%

10. c. 84%