name period directions: please answer all parts of each question. do not leave any questions blank. mc is 8 points each and fr is 10 points each. 1. which statistic can not be determined from a box - and - whisker plot of student test scores on a math test in mrs. deridders algebra class? 1) the lowest score 2) the mean score 3) the median score 4) the score that occurs most frequently 2. the accompanying diagram shows a box - and - whisker plot of student test scores on a math test. what is the median score? 1) 62 2) 81 3) 71 4) 92 3. the box - and - whisker plot below represents the math test scores of 20 students. what percentage of the test scores are less than 75? 1) 25 2) 75 3) 50 4) 100 4. based on the box - and - whisker plot below, which statement is false? 1) the median is 7. 2) the first quartile is 4. 3) the third quartile is 11. 4) the median is 11. 6. given the following data set: 45,50,70,72,75,80,80,80,85,90,90,95 which representations are correct for this data set? a. i and ii only b. i and iii only c. ii and iii only d. i, ii, and iii 8. which situation could be modeled as a linear equation? a. the value of a car decreases by 10% every year. b. the number of fish in a lake doubles every 5 years. c. two liters of water evaporate from a pool every day. d. the amount of caffeine in a persons body decreases by $\frac{1}{2}$ every 2 hours.

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Accepted Answer

1. **Question 1**:
   - **Explanation**:
     - **Step 1: Recall the definition of mode**
       - The mode is the score that occurs most frequently. So the answer is 4) the score that occurs most frequently.
   - **Answer**: 4) the score that occurs most frequently
2. **Question 2**:
   - **Explanation**:
     - **Step 1: Locate the median in a box - and - whisker plot**
       - In a box - and - whisker plot, the line inside the box represents the median. From the plot, the median score is 81.
   - **Answer**: 2) 81
3. **Question 3**:
   - **Explanation**:
     - **Step 1: Understand the quartiles in a box - and - whisker plot**
       - The lower half of the data is from the minimum to the median. In a box - and - whisker plot, 25% of the data lies below the first quartile, 50% lies below the median, and 75% lies below the third quartile. The value 75 is the third quartile. So 75% of the test scores are less than 75.
   - **Answer**: 2) 75
4. **Question 4**:
   - **Explanation**:
     - **Step 1: Analyze the box - and - whisker plot**
       - The median of the box - and - whisker plot is the line inside the box. Here, the median is 7. The first quartile is the left - hand side of the box, which is 4. The third quartile is the right - hand side of the box, which is 11. All the statements 1), 2), and 3) are true. So the statement that is false is none of them. But if we assume there is a mis - typing and we need to find a wrong statement among the given ones, we note that if there is an error in the plot interpretation, we need to re - check. However, based on the normal box - and - whisker plot interpretation, all seem correct. If we have to choose, we need more context. But if we assume a wrong answer among the given ones, we note that if we mis - read the plot, we might think there is an error. But generally, all the given statements about the quartiles and median are correct for a normal box - and - whisker plot.
   - **Answer**: None of the above (if not a mis - typing in the question setup; if we assume we need to pick one, more context is needed)
5. **Question 5**:
   - **Explanation**:
     - **Step 1: Analyze the data representation**
       - The first representation (dot - plot) shows the individual data points. The box - and - whisker plot shows the five - number summary (minimum, first quartile, median, third quartile, maximum). The histogram groups the data into intervals. All three are correct representations for the given data set.
   - **Answer**: D. I, II, and III
6. **Question 6**:
   - **Explanation**:
     - **Step 1: Recall the concept of a linear equation**
       - A linear equation has a constant rate of change. In option C, 2 liters of water evaporate from a pool every day. The amount of water in the pool changes at a constant rate. So this situation can be modeled by a linear equation.
   - **Answer**: C. 2 liters of water evaporate from a pool every day.

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