Question
Consider the report cards for Sam and Samantha given below. Sam Samantha Credits Letter Grade Credits Letter Grade 5 C 6 F 1 C 3
Consider the report cards for Sam and Samantha given below.
Sam | Samantha | ||
---|---|---|---|
Credits | Letter Grade | Credits | Letter Grade |
5 | C | 6 | F |
1 | C | 3 | C |
6 | D | 4 | C |
4 | C | 3 | D |
6 | D | 4 | F |
(a) Calculate Sam's GPA.
(b) Calculate Samantha's GPA.
Most credit cards charge interest based on the average daily balance per billing cycle. In this case each balance within the billing cycle is weighted by the number of days it exists. Suppose your credit card has a 30 day billing cycle and the balances over these 30 days are given in the table below.
Days | Transaction | balance | # days |
---|---|---|---|
1-6 | remaining balance | $1900 | 6 |
7-13 | $400 purchase | $2300 | 7 |
14-17 | $1000 purchase | $3300 | 4 |
18-30 | $1500 payment | $1800 | 13 |
(a) Calculate the average daily balance for these 30 days.
(b) What would have been your average daily balance if you paid $1400 on day 15 instead of $1500 on day 18?
Below is a frequency distribution for the estimated miles per gallon (MPG) for 288 different models of Japanese-made cars.
Japanese-Made Cars | |
---|---|
MPG | Frequency |
9 - 12 | 8 |
13 - 16 | 37 |
17 - 20 | 103 |
21 - 24 | 90 |
25 - 28 | 27 |
29 - 32 | 18 |
33 - 36 | 1 |
37 - 40 | 0 |
41 - 44 | 2 |
45 - 48 | 2 |
(a) Identify the following
class midpoints (enter as a comma-separated list)
class boundaries (enter as a comma-separated list)
class width
(b) Create a relative frequency table from the frequency table.
Japanese-Made Cars | |
---|---|
MPG | Relative Frequency |
9 - 12 | % |
13 - 16 | % |
17 - 20 | % |
21 - 24 | % |
25 - 28 | % |
29 - 32 | % |
33 - 36 | % |
37 - 40 | % |
41 - 44 | % |
45 - 48 | % |
(c) Create a cumulative and relative-cumulative frequency table.
Japanese-Made Cars | ||
---|---|---|
MPG | Cumulative Frequency | Relative Cumulative Frequency |
less than 12.5 | % | |
less than 16.5 | % | |
less than 20.5 | % | |
less than 24.5 | % | |
less than 28.5 | % | |
less than 32.5 | % | |
less than 36.5 | % | |
less than 40.5 | % | |
less than 44.5 | % | |
less than 48.5 | % |
(d) Estimate the mean MPG for the Japanese-made cars included in this set.
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