Statistics Quiz #3
Ben needs to make a statistical question for his class. Which of the following is an appropriate statistical question? A Do males run faster than females? B Does Mr. Adams run faster than Mrs. Adams? C Is Mr. Adams taller than Mrs. Adams? D How tall is Mr. Adams?
A Do males run faster than females? Statistical questions involve groups of people, not just one or two individuals.
The Blueville Bears golf team has 6 members. In their last tournament, the players averaged a score of 79. The first five players on the roster had scores of 72, 76, 102, 70, and 80. What was the score of the sixth player? A 80 B 74 C 75 D 70
B 74 A mean (or average) score of 79 means the team had scores totaling 79×6=474 strokes. Since the scores of the first five players are given, we can use the equation 72+76+102+70+80 + x =474. Solving for x yields 74.
Miss Austin gives her class 6 sets of data and asks them to identify which data set can most accurately be summarized by the mean. What topic is she covering? A reading data tables B choosing measures of central tendency C finding averages D addition and division skills
B choosing measures of central tendency Students need to understand when to use the mean, median, and mode to identify data summaries.
Use the table below to answer the question that follows. Jan.10 Feb.3 Mar.8 Apr.23 May10 June8 July7 Aug.7 Sept.9 Oct.13 Nov.14 Dec.20 The table above shows the total precipitation each month. What is the average amount of precipitation in a month? A 10 B 20 C 11 To find the average, sum all of the values and divide by 12 (the number of months in the dataset). 132/12 = 11 D 7
C 11 To find the average, sum all of the values and divide by 12 (the number of months in the dataset). 132/12 = 11
The test scores in Mrs. Marsala's math class are as follows: 72, 75, 78, 84, 88, 89, 91, 92, 93, 94, 97 What is the range of scores? A 72 B 89 C 25 D 87
C 25 The range is the difference between the highest and lowest value in the set. This data is already organized from lowest to highest. Therefore, the range is found by 97-72 = 25.
Which number could be added to the data set below so that the range stays the same? 23, 87, 19, 34, 37, 87, 81, 5, 14, 100, 26 A 0 B 2 C 55 D 103
C 55 The range of the data set is 100−5=95100−5=95. By adding 55 to the data set, the minimum and maximum are unchanged, leaving the range at 95.
The test scores of 10 students are listed below. An 11th student makes up the test and earns a 77. Which of the following will definitely increase? 56, 61, 68, 72, 72, 81, 82, 92, 93, 95 A mean B mode C median D range
C median The median, or middle number when the scores are in order least to greatest, of the first 10 scores was 76.5. When 77 is added, the median becomes 77.
The debate team has averaged 108 points in the last 5 tournaments. If they scored 120, 98, 92, and 108 in the first 4 tournaments, how many points were scored in the fifth tournament? A 108 B 124 C 120 D 122
D 122 If the average is 108 for 5 tournaments, then the total number of points scored is 540: (5 tournaments x 108 points) = 540 points. So, 540 - 120 - 98 - 92 - 108 = 122 points.
The stem and leaf plot below shows the results of college and high school students surveyed about how many books they read the past school year. ( this comes with a picture) Which of the following statements are true? I. 70 high school students did not read any books. II. The college median is greater than the high school median. III. The mean is less than the median in both groups. A II only B I, II, III C I, II only D II, III only
D II, III only The median is the middle number of the data when the data is listed from least to greatest. The median of the college students is 42 and the median of the high school students is 33. The mean is the average of each data set. Find the sum of the data set then divide by 15 (the number of data in the set). The mean of the high school books read is 31.6 and the mean of the college books read is 38.2. For each set, the mean is less than the median.
Which of the following is true of a statistical experiment? A The possible outcomes are not known beforehand. B It can have more than one outcome at a time. C Its outcome is predetermined. D Its outcome is determined by chance.
D Its outcome is determined by chance. The outcome of a statistical experiment is determined at random. Only one outcome will occur for each statistical experiment and all possible outcomes are known beforehand, but which outcome will occur is not predetermined.
