Algebra 1 Unit 6 Study Guide

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1 Name: Period: Date: Use this data to answer questions #1. The grades for the last algebra test were: 12, 48, 55, 57, 60, 61, 65, 65, 68, 71, 74, 74, 74, 80, 81, 81, 87, 92, 93 1a. Find the 5 number summary and the interquartile range. Minimum Lower Quartile Median Upper Quartile Maximum IQR 1b. Construct a box-and-whisker plot. 1c. According to the box plot, what score did 75% of students score equal to or less than? 1d. According to the box plot, what score did 50% of students score equal to or more than? 2. Which could be the equation for the best fit line of the scatter plot? a) y 4x 5 1 b) y x 5 4 c) y 4x 5 1 d) y x 5 4

2 Use the following to answer #3-6. Two potential employees must take typing tests to qualify for a job. Their typing speeds, in words per minute (WPM), were recorded for analysis. The results are shown in the box. Employee A average speed = 45 wpm standard deviation = 15 wpm Employee B average speed = 45 wpm standard deviation = 10 wpm Each potential employee took a total of 10 tests. Use inferred data to answer: 3. Which employee probably had the fastest individual test typing speed, why? 4. Which employee probably had the slowest individual test typing speed, why? 5. Which employee was more consistent with his/her typing speeds, why? 6. Who completed all 10 typing tests the fastest and why? 7a. This data set gives golf scores for a given round for a group of 15 golfers. Make a histogram of the data set b. What type of distribution does the histogram display? Explain your reasoning. The histogram displays a distribution because

3 Use the two-way frequency chart for #8-11. A movie producer is interested in specific demographics of three different movies. They put together a table displaying the age of the movie goers and which movie they attended. Movie A Movie B Movie C Total Total Calculate the relative frequencies in regard to the total number of students surveyed Movie A Movie B Movie C Total Total % 9. What percentage of these movie goers watched Movie A? 10. Given those who watched specifically Movie A, what percentage of those were of the ages 27-33? 11. What percentage of these movie goers were of the ages and watched Movie C? 12. What is the relative frequency of movie goers who watched Movie B?

Use the two plots for #13-15. The histogram and the box-and-whisker plot represent the same data for the number golfers being analyzed for a golf scholarship to a college.

4 Use the two plots for # The histogram and the box-and-whisker plot represent the same data for the number golfers being analyzed for a golf scholarship to a college. Select the plot you could use to justify each claim. 13. The mean golf score is 74. a. Box-and-Whisker b. Histogram c. Both d. Neither 14. The median golf score is 74. a. Box-and-Whisker b. Histogram c. Both d. Neither % of the golfers scored 74 or lower. a. Box-and-Whisker b. Histogram c. Both d. Neither 16. The scatterplot displays data from the national bunny survey where x is time in days and y is number of bunnies on a farm. Given that the function y = x is the best fit line for the given scatterplot, identify and explain the slope and y intercept in context of the situation.

5 Use the given dot plots to answer questions # Identify and compare the centers of the dot plots: Period 1 s Center: Period 2 s Center: Select the correct statement: a) Period 1 has a greater center than period 2. b) period 2 has a greater center than honors. c) The centers are equal. d) There is not enough information to compare the centers. 18. Identify the shape of the dot plots using distribution: Period 1 Shape: a) Normal Distribution b) Right Skewed Distribution c) Left Skewed Distribution Period 2 Shape: a) Normal Distribution b) Right Skewed Distribution c) Left Skewed Distribution 19. Select the correct statement comparing the spread of the dot plots: a) The period 1 standard deviation is larger because the spread is wider than period 2. b) The period 1 standard deviation is smaller because the spread is wider than period 2. c) The period 1 standard deviation is larger because the spread is closer than period 2. d) The period 1 standard deviation is smaller because the spread is closer than period 2.

6 Scatter Plot A Scatter Plot B 20. Which scatter plot would you expect to have a stronger correlation coefficient? Explain your reasoning using residuals. 21. The correlation coefficient of the above scatterplot is 0.8. If the data point (70, 40) is added, identify a possible correlation coefficient and explain your reasoning. 22. Determine if the following statements show correlation or causation. Explain your reasoning. A) As you run faster, the number of calories you burn increases. B) As the global temperature increases, the number of pirates decreases. 23. If the maximum value is multiplied by 2, how do these measures change? (Circle one change descriptor for each measure) Mean: Increase Decrease Stays the Same Median: Increase Decrease Stays the Same Standard Deviation: Increase Decrease Stays the Same

Unit 6 Day 2 Notes Central Tendency from a Histogram; Box Plots

AFM Unit 6 Day 2 Notes Central Tendency from a Histogram; Box Plots Name Date To find the mean, median and mode from a histogram, you first need to know how many data points were used. Use the frequency