Find the Z-Score
Measures of Center
Types of Samples
Measures of Spread
Random Mr. Cloud Trivia
100
A data point is 1.26 standard deviations below the mean. What is its z-score?
z = -1.26
100
A teacher is teaching two AP Statistics classes. On the final exam, the 20 students in the first class averaged 92 while the 25 students in the second class averaged only 83. If the teacher combines the classes, what will the average final exam score be?
87%
100
A farmer selects every third row of corn for a new fertilizer
Systematic
100
If all data points are equal, what is the standard deviation?
0
100
What university did Mr. Cloud graduate from?
Florida State University
200
Patrick Mahomes weighs 230 lb. If the mean weight for QB weights is 225 lb (SD = 15 lb), what is his z-score?
z = 0.33
200
A data set has a mean that is much smaller than the median. What is the shape of the distribution?
Left Skew
200
Student council randomly selects one representative from each homeroom for the meeting
Stratified Random
200
Data on the number of text messages sent one weekend by junior and senior high school students in a large high school is summarized as follows:
An AP Statistics student checking the calculations finds that the message counts for all the students were underreported by 5. When the numbers are corrected, what is the corrected IQR?
71
200
In what state was Mr. Cloud born?
Delaware
300
Thunderbolts opening weekend had a z-score of –0.67 compared to other Marvel movies. What percentage of Marvel movies did it outperform?
P(z < –0.67) ≈ 25.19%
300
Given the following Ogive:
Estimate the median.
~31cm
300
A counselor selects 2 males and 2 females from each of the four grade levels to ride the float
Stratified Random
300
Find the IQR.
The test scores of 12 students are:
65, 70, 72, 75, 78, 80, 82, 84, 85, 88, 90, 95.
Q1 = median of lower 6 (65, 70, 72, 75, 78, 80) = (72 + 75) ÷ 2 = 73.5
Q3 = median of upper 6 (82, 84, 85, 88, 90, 95) = (85 + 88) ÷ 2 = 86.5
IQR = Q3 – Q1 = 86.5 – 73.5 = 13
300
What is Mr. Cloud's daughter's name? (Spelling Counts)
Sofie
400
The z-score for a data point is 1.18. If the mean of the population is 342 and the data point is 368, what is the standard deviation of the population?
22.034
400
Suppose the average score on a national test is 500 with a standard deviation of 100. If each score is increased by 25, what is the new mean?
525
400
A game show host rolls two dice to select which two of six players will be in the bonus round
SRS
400
Suppose the average score on a national test is 500 with a standard deviation of 100. If each score is increased by 25%, what is the new standard deviation?
125
400
What school did Mr. Cloud teach at before coming to Bullis?
Sandy Spring Friends School
500
Yellowstone has a Rotten Tomatoes score with a z-score of –0.14 compared to other shows. What percent of shows scored lower?
P(z < –0.14) ≈ 44.44%
500
$30533.33
500
Mr. Cloud walks to lunch on Tuesday and asks the first four D block students how hard they thought the test was.
Convenience
500
Name any outliers:
The daily temperatures (in °C) recorded over a week are:
18, 20, 21, 19, 18, 22, 30.
Outlier check (quick):
Q1 = 18, Q3 = 22 → IQR = 4
Upper fence = 22 + 6 = 28
30 is an outlier (greater than 28).
500
Name two of the three sports Mr. Cloud has coached at the high school level.
Golf, Softball, Flag Football