Measures of Variation Part I
For the data set: 14, 16, 18, 30, 19, 15, 13
What is the range?
17
Find Q2 in the data set 14, 16, 18, 24, 19, 15, 13.
16
You roll a single die numbered from 1 to 6. What is the probability of rolling a factor of 3, expressed as a fraction?
2/6 or 3
What are the five numbers that are marked on a box-and-whisker plot?
A normal distribution has a mean of 18 and a standard deviation of 2. The value that is 2 positive standard deviations away from the mean is this.
22
Find the median for the data set: 72, 29, 27, 24, 28, 30, 51, 28.
28.5
Find Q1 the data set 14, 18, 16, 24, 19, 15, 13.
14
The numbers 5 through 17 are placed in a bowl and drawn at random then replaced after being drawn. What is the probability that you will draw a number less than 4?
0/13 or 0%
The box part of the box-and-whisker plot is drawn around which 3 values?
Q1, Q2, and Q3
A normal distribution has a mean of 15 and a standard deviation of 4. The value that is 3 negative standard deviations away from the mean is this.
What are the extreme values of the data set: 91, 92, 88, 89, 93, 195, 60, 85, 91?
Minimum: 60
Maximum: 195
Find the IQR of the data set: 22,25,28,29,30,34,51.
9
A box of snacks contains 22 bags of Takis, 9 Sour Powers, and 18 apples. What is the probability of selecting a bag of Takis or Sour Pour expressed as a fraction?
31/49
Min, Max, Box
A normal distribution has a mean of 100 and a standard deviation of 10. The percentage of data values that fall between the values of 80 and 120 is this.
95%
Find Q3 of the data set 132, 116, 108, 113, 126, 120, 131, 112, 126.
128.5
The following is a list of SAT scores of 8 students: 1400, 400, 1592, 1600, 1300, 500, 1200. In which quartile does the score of 1200 fall?
Q1
After shooting shots for 10 minutes, a player made 14/35 shots out of 60. Is it likely or unlikely that if he needs to make two free throws to win the game in a row he will do so?
Unlikley
Around which three numbers would the box in a box-and-whisker plot be made for the data set: 14, 17, 15, 13, 19, 16, 14
Q2=15 Q3= 17 Q1= 14
A normal distribution has a mean of 24 and a standard deviation of 6. 68% of the values of this distribution fall between what two data values?
18 and 30
Find Q1 of the data set 107, 114, 124, 108, 117, 106, 107, 109, 117, 115.
107
What is the resulting percentage of the data when you subtract the upper quartile from the lower quartile?
50%
There are 14 cheerleaders on the roster of the cheerleading team. 4 are spotters, 5 are flyers, and the remainder are basers. What is the probability that a cheerleader chosen at random to speak at the school's pep rally will be a baser?
5/14
What is the IQR for a box-and-whisker plot made for the data set: 39, 41, 30, 14, 44, 40, 48, 39, 40, 36
7.25
A normal distribution has a mean of 100 and a standard deviation of 10. The percentage of data values that fall between the values of 70 and 90 is this.
15.85%