Quiz 7-1 Circle One Name: ____Answer Key_________________ Red Blue Green April 12, 2013 Note: There were three versions of the Quiz with similar questions 1. LeJames Brawn scored 24, 31, 29, 27 and 35 points in his first five games against the Atlanta Hawks this year. How many points does he need to score in his sixth game against the Hawks to average 30 pointsper-game against them for the year? total ÷ # = mean Answer: 34 total ÷ 6 = 30, therefore total = 180. In five games he scored 146 points, so he needs to score 34 in game 6. 2. If a series of numbers does not have a mode, what is the term used to describe the mode for these numbers? A B C D Modeless Nill Zero Null 3. Circle the number below that statisticians would consider to be an outlier to the data.[ 121, 134, 127, 120, 116, 942, 124.5, 131, 121, 121, 126, 132, 129 An outlier is either much larger or much smaller than the other numbers in the data set. 4. Find the range of the numbers listed in problem number 3 above. Answer: 942 – 116 = 826 826 The range can be found by subtracting the smallest number from the largest number in the data set. 5. Kendall has earned between $3,000 and $4,200 at all of her modeling jobs. She agreed to take her next modeling job for only $1,800. Which of the following statements is true about the amount of money she will earn? A B C D The mean of her earnings will definitely increase. The mean of her earnings will definitely decrease. The median of her earnings will definitely increase. The median of her earnings will definitely decrease. Adding a number to a data set that is smaller than the rest of the numbers will always reduce the mean (average). If the median number was the same as several numbers around it, adding a new number might not change the median. 6. The table shows the heights of six NBA players arranged in alphabetical order. Player Height Kobe Bryant 6’6” Kevin Durant 6’9” Kevin Garnett 6’11” Dwight Howard 6’11” Dirk Nowitzki 7’0” Dwayne Wade 6’4” What is the median height of the players listed in this table? Answer: 6’10” For an even number of terms, find the mean of the middle two. Which basically means, find the number half-way between the middle two numbers. 7. Austin took five tests. Each test was worth 100 points. Here are his scores: 95, 97, 97, 89, 87 What is Austin’s mean (average) score for these five tests? A B C D 94.0 93.5 93.0 92.6 8. Hailey’s hit total for 20 softball games is listed below. Find the mode of this data. The sum of the five numbers, divided by five. 0, 2, 2, 3, 4, 1, 2, 1, 3, 4, 0, 3, 2, 0, 3, 2, 3, 1, 3, 2 Answer: 2, 3 0=3 1=3 2=6 3=6 4=2 More than one number appears the most. 9. Find the median of the data set below: 3.2, 2.8, 1.6, 2.4, 1.7, 2.6, 1.7, 2.1, 3.4, 2.9 Answer: 2.5 Rewrite the numbers in order then find the mean of the middle two. In this case, the middle numbers are 2.4 and 2.6. 10. Four numbers add up to 24. Five other numbers add up to 21. What is the mean of these nine numbers? A B C D 4.0 4.2 5.0 6.0 total ÷ # = mean (24+25) ÷ (4+5) = mean 45 ÷ 9 = 5