Question

you must show your work on problems that are not multiple choice to receive credit. 1. your income before all taxes are deducted is your gross income. a. true b. false 2. a discretionary expense is one that can be eliminated from your day - to - day life. a. true b. false 3. when considering measures of central tendency, the presence of outliers would indicate that the mean may not be a good representation. a. true b. false 4. when a correlation coefficient is near 1, there is little or no correlation between corresponding variables. a. true b. false 5. a scatterplot is graphed with the time it takes a child to get dressed in the morning on the vertical axis (y), and the child’s age in years on the horizontal axis (x). the graph shows a positive correlation because the time to get dressed decreases as the age of the child increases. a. true b. false 6. rebecca will be entering college next fall and is trying to decide how much to spend on a laptop. after researching models online, she has found several that would meet her needs. their costs are: $979; $1,349; $1,189; $1,349; $1,899; $875; and $1,099. what is the median price? a. $1,349 b. $1,189 c. $1,279 d. $1,899 7. write the sigma notation for determining mean of 10 values.

Explanation:

Step1: Define gross income

Gross income is income before tax - deductions. So, for question 1, the answer is True.

Step2: Define discretionary expense

A discretionary expense is non - essential and can be eliminated, so question 2 is True.

Step3: Understand central tendency and outliers

Outliers can skew the mean, so it may not be a good representation, making question 3 True.

Step4: Interpret correlation coefficient

A correlation coefficient near 1 indicates a strong positive correlation, not little or no correlation. So, question 4 is False.

Step5: Analyze positive correlation

A positive correlation means both variables increase or decrease together. Here, as age increases, time to get dressed decreases, so it's a negative correlation and question 5 is False.

Step6: Calculate median

First, arrange the prices in ascending order: $875, $979, $1099, $1189, $1349, $1349, $1899. There are 7 values. The median is the 4th value when ordered, which is $1189. So, for question 6, the answer is b. $1,189.

Step7: Write sigma notation for mean

The mean $\bar{x}$ of $n = 10$ values $x_1,x_2,\cdots,x_{10}$ is given by $\bar{x}=\frac{1}{10}\sum_{i = 1}^{10}x_i$.

Answer:

1. a. True
2. a. True
3. a. True
4. b. False
5. b. False
6. b. $1,189
7. $\bar{x}=\frac{1}{10}\sum_{i = 1}^{10}x_i$