Barbie made $155M opening weekend. If the mean of openings is $60M (SD = $20M), what is the z-score?
z = 4.75
SZAs new album release had a z-score of 1.84 compared to her past albums. What percentage of albums sold fewer copies?
(z < 1.84) ≈ 96.71%
Unimodal or Bimodal?
Bimodal
Find the mean, median, and mode of the data set.
The ages of 10 students in a math club are:
12, 14, 13, 15, 16, 14, 15, 14, 13, 15.
Mean: 14.1
Median: 14
Mode: 14 and 15
A Marvel sorcerer opens a portal straight into Hawkins, Indiana.
Dr. Stranger Things
Mahomes weighs 230 lb. If the mean weight for a QB weights is 225 lb (SD = 15 lb), what is his z-score?
z = 0.33
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%
Bimodal / Unimodal
Left-skewed / Symmetric / Right-skewed
Unimodal, Left-Skewed
Find the IQR.
The number of books read by 8 students over the summer is:
2, 5, 3, 7, 6, 4, 3, 9.
Q1 = median of lower half (2, 3, 3, 4) = (3 + 3) ÷ 2 = 3
Q3 = median of upper half (5, 6, 7, 9) = (6 + 7) ÷ 2 = 6.5
IQR = Q3 – Q1 = 6.5 – 3 = 3.5
A young lion destined to rule the Pride Lands meets a massive ape climbing skyscrapers.
The Lion King Kong
Selena Gomez has 429M Instagram followers. If the mean followers for musicians is 40M (SD = 15M), what is her z-score?
z = 25.93
In Game 3 of the Finals, Chet Holmgren's earned points had a z-score of 2.13 compared to all games that season. What percentage of games were below this performance?
P(z < 2.13) ≈ 98.34%
What does SOCS stand for?
Shape, Outliers, Center, and Spread
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
Rap god from Detroit battles it out on the Death Star
Eminempire Strikes Back
Bolt ran 9.58 s. If the mean for elite sprinters is10.0 s (SD = 0.3 s), what is the z-score?
z = -1.40
A MrBeast video has a z-score of 0.43 compared to his other uploads. What percent of videos had fewer views?
P(z < 0.43) ≈ 66.65%
Name 3 traits of this graph:
Right skewed, Unimodal, one visual outlier
Identify whether there are any outliers using the IQR method.
A class of students had the following quiz scores:
10, 12, 15, 14, 13, 16, 50.
Q1 = median of lower half (10, 12, 13) = 12
Q3 = median of upper half (15, 16, 50) = 16
IQR = 16 – 12 = 4
Outlier test:
Lower fence = Q1 – 1.5 × IQR = 12 – 6 = 6
Upper fence = Q3 + 1.5 × IQR = 16 + 6 = 22
50 is an outlier (greater than 22).
A billionaire genius in a metal suit teams up with Henry Cavill’s Kryptonian hero.
IronMan of Steel
What is Stscoreeph Curry’s z- if the NBA mean height is 79 in (SD = 3 in) and he is 75 in tall?
z = -1.33
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%
Compare these graphs:
Same median, Corp A has a wider range and 2 outliers.
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).
The room where members of the Pink Pony Club would go to elect a new pope
Sistine Chappell Roan