20 questions
The time in minutes for each of Sam's phone calls this week are shown in the list.
{9, 15, 5, 7, 9, 12, 11, 4}
Which statement is true regarding the duration of his calls?
The median is greater than 10.
The mean is less than 8.
The range is less than 10.
The mode is greater than 7.
For the data set shown below, which measure is the greatest?
{5, 6, 6, 8, 9, 10}
Mean
Median
Mode
Range
Jordan and Alex are pitchers for the baseball team and are being evaluated by the coach.
The speeds in miles per hour of each of their practice pitches is shown. Which statement is true?
Jordan has a lower mean speed.
Jordan has a greater range of speeds.
Jordan has a lower median speed.
Alex's median speed is higher than Jordan's mean speed.
The box and whisker plot shows the heights in centimeters of high school seniors compared to their heights as freshman. Using the median as the measure, which is closest to the difference in height between the freshman and seniors?
0 cm
5 cm
10 cm
15 cm
A baker recorded the number of batches of cookies he made on each of seven days. He baked a different number of batches of cookies each day. The box-and whisker plot summarizes his data.
The baker baked 20 batches of cookies on the eighth day. He redraws the box-and-whisker plot to include this data. Which statement comparing the new box-and-whisker plot to the original box-and-whisker plot is NOT true?
The median increased.
The lower extreme increased.
The upper extreme increased.
The value of the interquartile range increased.
The number of points two basketball teams scored is shown in the diagram below.
- Team A scored a different number of points in each of the team's 20 games.
- Team B scored a different number of points in each of the team's 12 games.
What is the total number of games that Team A and Team B scored 55 or more points?
18
20
21
25
Find the mean absolute deviation of the data set below.
{152, 178, 172, 180, 193}
10.4
8.4
13.4
175
Find the standard deviation for the test scores given in the following stem-and-leaf plot.
8.3
9.3
67
86.5
The data set below gives the scores of seven people on a history test. Which correctly gives the standard deviation and variance of the data set?
{74, 78, 83, 89, 90, 92, 96}
If the variance for a data set is 104.04, what is the standard deviation? Round to the nearest tenth.
A data set has a mean of 68 and a standard deviation of 6. An element in this set is 51. What is the z-score for 51?
Round to the nearest hundredth.
The mean number of boxes of cookies sold by each girl scout in Emma's troop was 28 with a standard deviation of 8.
If Emma's z-score was -1.5, how many boxes of cookies did she sell?
Mark earned a 64 on his last science quiz. If Mark's z-score was -2.8 and the standard deviation was 10, find the mean grade on the quiz.
92
36
64
86
The mean number of weekly Instagram posts by a group of teenagers is 16. If Ryan posted 30 times on Instagram and his z-score was 1.6, find the standard deviation.
1.60
8.75
-8.75
-1.60
Jake scored a 94 on his last quiz, which was exactly 2 standard deviations above the mean of his class. If the standard deviation was 3, what was the mean grade on the quiz?
86
88
92
94
The data set shown has a mean of 34 and a standard deviation of 9. How many of these data points have a z-score less than 0.7?
{20, 22, 24, 28, 33, 35, 38, 40, 42, 45, 47}
3
4
6
8
The table below shows the number of dollars raised during a fundraiser for four different classes and for one student in each class.
Which of the four students raised the greatest number of dollars?
Jill
Kelli
Monroe
Tim
The mean for a data set is 60. The z-score for data point a is 0. The z-score for data point b is -0.4. Which are the possible values for data point a and b?
a = 0; b = 61.2
a = 0 and b = 58.8
a = 60 and b = 61.2
a = 60 and b = 58.8
Statistical information for a data set is given.
- The mean of the data set is 28.
-The standard deviation for the data set is 3.
- The z-score for a data point in this set is -1.5.
In which interval is this data point?
Given a normally distributed data set, approximately what percentage of the data will fall within one standard deviation of the mean?
68%
95%
98%
50%