Question
QUESTION 3. The following cumulative relative frequency table shows the amount of federal tax paid by a sample of 200 small businesses in a fiscal
QUESTION 3. The following cumulative relative frequency table shows the amount of federal tax paid by a sample of 200 small businesses in a fiscal year.
Tax Paid | Cumulative Relative Frequency |
---|---|
$15,000 to under $20,000 | 22.5% |
$20,000 to under $25,000 | 41.0% |
$25,000 to under $30,000 | 59.0% |
$30,000 to under $35,000 | 75.0% |
$35,000 to under $40,000 | 88.5% |
$40,000 to under $45,000 | 100.0% |
1. What percent of the businesses paid at least $25,000? %% 2. What is the relative frequency percent of the $20,000 to under $25,000 class? %% 3. How many of the businesses paid less than $30,000? 4. How many businesses paid at least $25,000 but less than $40,000? 5. What is the class midpoint of the modal class? If there are two modes, report the midpoint of the lower class. $$ 6. What is the lower limit of the median class? $$ 7. This distribution is Select an answer symmetric positively skewed or negatively skewed .
QUESTION 7. The following table is set up to calculate the standard deviation of a sample of 6 credit card balances (x)(x). A negative balance indicates an overpayment.
- Fill in the missing values.
Card | x x | xxx-x | (xx)2(x-x)2 |
---|---|---|---|
1 | 22 | 484 | |
2 | -1 | 1600 | |
3 | 4 | 16 | |
4 | -12 | 2601 | |
5 | 68 | 29 | |
6 | 36 | 1296 | |
Total | 234 |
- The sample standard deviation, s=
QUESTION 8. The mean and median of a sample of three values are 38 and 31 respectively. If the median is smaller than the largest value by 26, then the sample variance =
QUESTION 9. In a sample data consisting of three observations, the mean is equal to the median and the sum of the three values is 90. If the range of the three values is 44, then the sample variance = .
QUESTION 10. The mean of three numbers is larger than the smallest by 112. If the sum of the three numbers is 276 and their range is 239, then their median = .
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