1. Given the bar-and-whiskers diagram below, state the values for the following: (1) mode > mean (2) mean < median (3) median > mode (4) range = mean

Transcription

1 Unit 10 Statistics Test Review 1. Given the bar-and-whiskers diagram below, state the values for the following: (a) Lower Quartile (Q1): (b) Median: (c) Upper Quartile (Q3): Which of the following is true for the data set { 3, 4, 4,6,8,11 }? 2. (1) mode > mean (2) mean < median (3) median > mode (4) range = mean 3. Twenty-five students took a test. Jodi got a score of 83. Jodi s score was higher than of the scores. What percentile does Jodi s score represent? (1) 28 th percentile (2) 56 th percentile (3) 70 th percentile (4) 84 th percentile 4. The accompanying histogram shows the heights of the students in Kyra s health class. 4. What is the total number of students in the class? (1) 5 (2) 15 (3) 16 (4) Which situation describes a correlation that is not a causal relationship? 5. (1) The length of the edge of a cube and the volume of that cube (2) The distance traveled and the time spent driving (3) The age of a child and the number of siblings the child has (4) The number of classes taught in a school and the number of teachers employed

2 6. Scott participated in a survey of cell phone usage. The number of minutes that he talked 6. on the cell phone placed him in the 67 th percentile out of 1200 people surveyed. How many participants talked on the phone longer than Carlos? (1) 632 (2) 245 (3) 396 (4) What is the relationship between the independent and dependent variables in the scatter 7. plot shown below? (1) undefined correlation (2) negative correlation (3) positive correlation (4) no correlation 8. The table below shows a cumulative frequency distribution of the students test scores 8. in an Algebra class. Cumulative Frequency Distribution of Student Test Scores Student Test Scores Total According to the table, how many students scored above a 90? (1) 22 (2) 30 (3) 6 (4) 2 9. Jessica is conducting a survey about the proposed increase in the sports budget in her 9. school district. Which survey method would likely contain the most bias? (1) Jessica asks every third person entering Hannaford Grocery Store. (2) Jessica asks every third person leaving the Poughkeepsie Galleria this weekend. (3) Jessica asks every fifth student entering her high school on Monday morning. (4) Jessica asks every fifth person leaving Saturday s high school football game.

3 10. On four math tests this marking period, Lola has scored a 78%, an 85%, a 83%, and a 91%. What must she score on the fifth test in order to average exactly 85% on all five quizzes? 11. The values of 10 houses on Lincoln Avenue are: (a) Find the mean, median, and mode for the houses in dollars. Value per House Number of Houses $100,000 1 $175,000 5 $200,000 3 $800,000 1 (b) Are there any outliers in the data set? If so, name them. (c) Which measure of central tendency, mean or median, will you use to describe the average house value? Explain your answer. 12. The weight and fuel consumption of different vehicles are given in the accompanying table. Weight (in 100 lbs) mpg (a) Construct a scatter plot and find an equation of the line of best fit for the data. Round coefficients to the nearest hundredth. (b) Is there a strong or weak correlation between the weight of the vehicle and fuel consumption? (c) Use the equation to predict the fuel consumption for a vehicle that weighs 4,800 pounds.

4 13. The following is a list of 20 test scores from a section of Merklimatics 101. Construct a box-and-whisker plot to represent the data. (Do not forget to list the 5-Number Summary!) 62, 65, 66, 66, 67, 67, 72, 75, 78, 80, 84, 86, 88, 88, 89, 90, 92, 92, 95, Twenty students were surveyed about the number of days they played outside in one week. The results of this survey are shown below: 6, 5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7 Complete the frequency table below for these data values and construct a frequency histogram. Interval Tally Frequency `15. Five students took a makeup quiz for Ms. Schreiber. Three students took their quizzes after school. After grading them, Ms. Schreiber stated that the grades were 75, 73, and 86. She also told the students that the average of the five makeup grades was 80. What was the average of the other two scores?

5 16. Citizens monitored the number of random acts of kindness portrayed on TV in forty randomly selected hours in one week. Construct a cumulative frequency histogram for the data. Number of random Frequency acts of kindness