Stats Study GuideName ______

Algebra 1 Date ______Block ___

Use the test scores of the students in Ms. Newton’s physics class to answer #1-9.

75, 86, 57, 90, 91, 86, 79, 94, 61, 59, 78, 83, 85, 90, 77, 83, 97, 68, 74, 89, 80

  1. Find the mean, median, mode, range, and standard deviation.
  1. How many standard deviations above or below the mean is a score of 91?
  1. How many standard deviations above or below the mean is a score of 64?
  1. Kara has a z-score of 1.53. What does this tell you about her score?
  1. Sam has a z-score of -0.46. What does this tell you about his score?
  1. Which of the test scores above are within one standard deviation of the mean?
  1. Martin got an 80 on the test. What is his z-score?
  1. Salima got a 61 on the test. What is her z-score?
  1. Vinny has a z-score of 0.535. What did he get on the test?
  1. Bianca enrolled in a summer reading program. Over the summer she read 21 books. The mean number of books read by all the students enrolled in the program was 19. Bianca’s z-score is 0.32. What is the standard deviation of the data set?
  1. José is a member of the track team. He runs the 400 meter hurdles and the 1600 meter relay. His best time for the 400 meter hurdles is 90 seconds. His team’s average for the 400 meter hurdles is 82 seconds with a standard deviation of 5. His best split time for the 1600 meter relay is 124 seconds. The team’s average is 118 seconds with a standard deviation of 6. For which event is José a better competitor?

The frequency chart shows the number of raisins counted in several different boxes. The mean number of raisins per box is 27.9 and the standard deviation is 1.47. Use this information to respond to items #12 and #13.

  1. Do the data appear to be normally distributed?
  1. How many boxes contain a number of raisins within one standard deviation of the mean?

The box-and-whisker plots compare the final grades of two classes. Class A has 24 students, and class B has 26 students. Use the diagram to respond to items #14 and #15.

  1. Determine if the following statements about the box-and-whisker plots are true or false.
  2. ____ 25% of the students in class B did better than all the students in class A.
  1. ____ The upper quartile for class A is 5 more than the median for class B.
  1. ____ The interquartile range for class A is 5 less than the interquartile range for class B.
  1. ____ 50% of class B scored better than 80.
  1. ____ 75% of class A scored less than 82.
  1. ____ The range for class A is larger than class B.
  1. ____ Six students in class A scored better than 82.
  1. How many of the students in both classes scored below 73? (Give the number of students, not the percent.)

The table shown indicates the number of hits and the number of runs by each team in the National League in the 2016 baseball season as of May 24, 2016 according to mlb.com. Use the data in the table to respond to #16-18.

Team / Hits / Runs
Pittsburgh Pirates / 419 / 209
Miami Marlins / 412 / 175
Colorado Rockies / 408 / 211
Arizona Diamondbacks / 439 / 214
St. Louis Cardinals / 417 / 247
Chicago Cubs / 374 / 235
San Francisco Giants / 406 / 199
Washington Nationals / 367 / 192
Milwaukee Brewers / 348 / 184
Los Angeles Dodgers / 381 / 195
New York Mets / 345 / 174
Philadelphia Phillies / 345 / 146
Atlanta Braves / 341 / 137
Cincinnati Reds / 337 / 176
San Diego Padres / 340 / 162
  1. Make a box-and-whisker plot of the hits. (Remember to number the line!)
  1. Make a box-and-whisker plot of the runs. (Remember to number the line!)
  1. Make a scatter plot of the data on your calculator. Does there appear to be a relationship between the number of hits and runs scored? If so, how would you describe the relationship?

The table shows degrees north latitude and April mean high temperatures for select cities. Use the information to respond to items #19-#21.

  1. Does there appear to be a relationship between the degrees north latitude and the April mean high temperatures? If so, how would you describe the relationship?
  1. What is the equation of the line of best fit?
  1. What would you expect for the April mean high temperature in Philadelphia, PA at 40o north?

The table below shows the height of ball at intervals after it’s thrown into the air. Use the information to respond to items #22-24.

Time (sec) / Height (feet)
0.3 / 10
0.7 / 17
1 / 23
1.2 / 25
1.7 / 24
2.4 / 16
  1. Does there appear to be a relationship between the time and height of the ball? If so, how would you describe the relationship?
  1. What is the equation of the curve of best fit?
  1. How high would you expect the ball to be after 2 seconds?