🎨 “What’s the Shape?” 📈
100: 🧩 What is the shape of a distribution if all the data values are the same?
Uniform — all values are equal, so there’s no spread.
🧩 What are the five parts of a 5-number summary?
✅ Minimum, Q1, Median, Q3, Maximum.
100: 🔤 What does IQR stand for?
✅ Interquartile Range.
🧠 What does MAD measure?
✅ The average distance each data point is from the mean.
🏫 South Medford and North Medford were once the same high school. What was it called before the split?
✅ Medford High School.
🧭 Which shape has a long tail on the right side?
Skewed Right.
🔍 Find the min & max of {2, 5, 7, 8, 12}.
✅ Min = 2, Max = 12.
🛡️ Why is IQR useful?
✅ It measures the spread of the middle 50% and resists outliers.
➕ Find the mean of {3, 5, 7}.
✅ 5.
🚗 Medford sits in the Rogue Valley. What two mountain ranges form the valley’s borders?
✅ The Cascades to the east and the Siskiyous to the south/west.
✍️ Which shape has most values clustered on the right side, with a long tail on the left?
✅ Skewed Left.
📍 Find the median of {4, 7, 9, 12, 15, 20}.
✅ 10.5.
📏 Find the IQR of {2, 5, 7, 8, 12}.
✅ 6.5.
🔄 Find the MAD of {3, 5, 7}.
✅ Mean = 5; distances = {2, 0, 2}; MAD = 1.33.
🍐 Medford’s economy used to rely on agriculture. If pears were the #1 crop, what local industry grew to replace them in importance by the late 1900s?
✅ Timber (logging and wood products)
📏 If a distribution is symmetric, how do the mean and median usually compare?
✅ They are approximately equal.
🧮 Find Q1 & Q3 of {3, 6, 8, 10, 14, 18, 20}.
✅ Q1 = 6, Q3 = 18.
🧾 5-number summary: Min=4, Q1=7, Med=10, Q3=15, Max=21. Find the IQR.
✅ 8.
🧮 Find the MAD of {2, 4, 6, 8, 10}.
✅ 2.4.
🏟️ South Medford High School basketball made state history in 2007. Who was the star player that later went on to play in the NBA?
Kyle Singler.
🔔 A distribution shows most of its values clustered tightly in the center, with frequencies gradually decreasing on both sides in a smooth, hill-like curve. What word describes this overall shape?
✅ Bell-Shaped.
🧱 Give the full 5-number summary of {2, 5, 8, 9, 12, 14, 17, 18, 20}.
✅ (2, 6.5, 12, 17.5, 20).
📦 Two boxplots are compared. One has Q1=8, Q3=20; the other has Q1=12, Q3=15. Which has the larger IQR and what does that mean?
✅ The first (IQR = 12). It has more spread in the middle 50% of its data.
🧪 Compute the MAD of {12, 13, 13, 15, 16, 20, 22}.
✅ ≈ 2.98.
🏙️ Medford was founded in the 1880s because of a major development in Southern Oregon. What was it?
✅ The railroad (Oregon and California Railroad line).