A statistical question expects: — Variability in the data (different people/samples give different answers).Statistical questions anticipate VARIABILITY — different subjects or measurements give different answers. That variation is what we analyze.
Which is a statistical question? — How many hours per week do teens exercise?.Different teens exercise different amounts — the answers vary. This is a statistical question!
Which is NOT a statistical question? — What time does this school start?."What time does school start?" has ONE definitive answer — it is the same for everyone. Not statistical.
Why is "What is the temperature right now?" NOT statistical? — It has one specific answer at this moment — no variability.At a specific moment, temperature at a specific location has ONE answer. No variability among data points.
Turn "What is my homework score?" into a statistical question: — What are homework scores for all students in the class?.Asking about ALL students creates variation — different students have different scores. That makes it statistical!
Statistics deals with understanding: — Patterns and variation in data.Statistics is about identifying patterns and understanding VARIATION — why data differs and what it tells us.
A non-statistical question has: — Exactly one correct/universal answer.Non-statistical questions have a single definitive answer that does not depend on who answers or which sample you measure.
Which question would require collecting data from MANY people? — How much time do middle schoolers spend on social media daily?.Different middle schoolers use social media different amounts. You need MANY people's data — a statistical question!
The MEAN is calculated by: — Adding all values and dividing by the count.Mean = sum of all values ÷ number of values. It is the arithmetic average.
The MEDIAN is: — The middle value when data is ordered.Median = the MIDDLE value when data is arranged in order. Half the values are above it, half below.
The MODE is: — The most frequent value.Mode = the value that appears MOST OFTEN. A data set can have no mode, one mode, or multiple modes.
The RANGE is: — Max − Min.Range = maximum value − minimum value. It tells how spread out the data is.
Data: 3, 7, 7, 9, 14. Mode = ? — 7.7 appears twice — more than any other value. Mode = 7.
Data: 5, 8, 12, 15, 20. Median = ? — 12.Ordered: 5, 8, [12], 15, 20. Middle value = 12.
A DOT PLOT shows: — Individual data points as dots on a number line.A dot plot shows each individual data point as a dot on a number line — you can see every single value.
A HISTOGRAM shows: — Frequency (count) of data within INTERVALS (bins).A histogram groups data into intervals and shows how many values fall in each interval — great for large data sets.
A BOX PLOT (box-and-whisker plot) shows: — Five-number summary: Min, Q1, Median, Q3, Max.A box plot displays the five-number summary: Minimum, Q1 (25th percentile), Median (Q2), Q3 (75th percentile), Maximum.
The IQR (Interquartile Range) is: — Q3 − Q1.IQR = Q3 − Q1. It represents the range of the MIDDLE 50% of the data.
In a box plot, the box represents the: — Middle 50% of the data (from Q1 to Q3).The box spans from Q1 to Q3, representing the MIDDLE 50% of the data — the interquartile range.
Which display is BEST for comparing the distributions of two groups? — Side-by-side box plots.Side-by-side box plots allow direct comparison of center, spread, and outliers between two groups.
Q1 is also known as the: — 25th percentile.Q1 = the 25th percentile. 25% of data falls below Q1, 75% falls above.