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 2 decimal places.
Show for partial credit if incorrect.
Question 11
11.
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?
Show work for partial credit if incorrect
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Statistical information for a data set is given below.
The mean of the data set is 28.
The standard deviation for the data set is 3.
95% of the data will be between the values of _______ and _______
Hint: draw the curve and label the empirical rule to help answer this!
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 mode is greater than 7.
The median is greater than 10.
The range is less than 10.
The mean is less than 8.
For the data set shown below, which measure is the greatest?
{5, 6, 6, 8, 9, 10}
Median
Mean
Range
Mode
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 to the left.
Which statement is true?
Jordan has a lower mean speed.
Alex's median speed is higher than Jordan's mean speed.
Jordan has a lower median speed.
Jordan has a greater range of speeds.
The box-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?
5 cm
15 cm
0 cm
10 cm
Find the median for the test scores given in the following stem and leaf plot.
KEY: 5|0 = 50
59
68
62
67
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 plot to the right summarizes his data.
The baker baked 20 batches of cookies on the eighth day. He redraws the box plot to include his data. Which statement comparing the new box plot to the original box plot is NOT true?
The minimum increased.
The maximum increased.
The value of the interquartile range increased.
The median 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 percentage of games that Team A scored more than 65 points?
0%
50%
25%
75%
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.
Which team had the largest Interquartile range?
Team B
Team A and Team B had the same Interquartile range
There is not enough information given to answer this question.
Team A
Which statement correctly defines the standard deviation?
The value obtained when adding all values together and dividing by the number of values
The amount of values that are above the mean
The amount of values that are repeated in a data set.
The average distance values in the data set are away from the mean.
Jake scored a 94 on his last quiz, which had a z-score of 2. If the standard deviation was 3, what was the mean grade on the quiz?
92
94
88
86
The data set shown has a mean of 34 and a standard deviation of 9.
Which values are within the middle 68% of data?
{20, 22, 24, 28, 33, 35, 38, 40, 42, 45, 47}
20
22
24
28
33
35
38
40
42
45
47
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?