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Week 10 · Statistical Questions

Monday

A question with many answers
// Questions with many answers, and the pictures that show them
⏱ about 20 min

Monday: A Question With Many Answers

Rocket slaps a clipboard onto the Numbers Desk. "Field Day is three weeks away. I need to know how many games to build."

"So ask the kids on our street," Raven says. "How many games would you play?"

Rocket grabs a marker. "Easy. Everyone will say five. Five games. Done."

Nova hovers over the clipboard, her light blinking. "Will everyone give the same answer?"

Rocket pauses. "Well, no. Some kids get tired. Some want to play all day."

"Then one answer is not enough," Raven says. "We need all of them. What do you notice about that?"

Rocket grins. "It is a question with many answers. That means we need data."

Nova dims her light. "And data needs a picture. Start collecting."

Rocket, Raven and Nova at the Numbers Desk with a clipboard, a tally sheet and a dot plot on graph paper.

Statistical questions

Some questions have one answer. "How many legs does a chair have?" You can look at the chair and know.

A statistical question is different. It expects different answers from different people or different measurements.

"How many Field Day games would the kids on our street play?" Some kids will say 3. Some will say 7.

Because the answers vary, you collect them all. That collection is your data. Then you look at the whole set at once.

A good statistical question says who you will ask and what you will count. "How many minutes do kids on our street read each night?"

It names the group (kids on our street) and the measure (minutes of reading). Both parts matter when you report the answer.

QuestionStatistical?Why
How many games would YOU play?NoOne person, one answer
How many games would the kids on our street play?YesMany kids, many answers
How long is this sack course?NoMeasure once and you know
How many seconds do kids take to hop the sack course?YesEach kid takes a different time
How many steps is it from our door to the mailbox?NoCount once and you know
How many steps do family members take on a school day?YesEach person walks a different amount

The crew's test survey

Raven tried the question on 12 kids first, to practice. She wrote each answer on the tally sheet, never the kid's name.

Nova turned the list into a dot plot. Each dot is one kid. A dot sits above the number that kid said.

Look at the plot. The dots pile up in the middle and thin out at the ends. That pile is the shape of the data.

The tallest stack is at 4. The answers reach from 3 to 7. Nobody said 8 or more.

Kid 1 to 6Kid 7 to 12
3, 4, 4, 5, 3, 64, 5, 4, 3, 7, 4
A dot plot of games kids would play, from 3 to 7, with the tallest stack at 4.
STATISTICAL OR NOT?
  • Read the question.
  • Tap your answer.
"How many steps long is our hallway?" Is this a statistical question?
"How many hours of sleep did kids on our street get last night?" Statistical?
"What is the tallest stack on the crew's dot plot?" Statistical?
"How many seconds does each kid on our street take to hop the course?" Statistical?
READ THE TEST SURVEY
  • Read the question.
  • Tap your answer.
A dot plot of games kids would playHow many kids answered the test survey? Count the dots.
A dot plot of games kids would playWhich number of games has the tallest stack of dots?
A dot plot of games kids would playHow many kids said 4 games?
A dot plot of games kids would playHow many kids said 5 or more games?
StatementTrue or false?
A statistical question expects different answers from different people.?
"How tall is this door?" is a statistical question.?
On a dot plot, each dot stands for one answer.?
The crew's test survey has 14 answers.?
A good statistical question names the group and the measure.?
WHY THIS EXERCISEKnowing which questions need data is the first step in any survey.
What was the greatest number of games any kid in the test survey said? Type the number.
WHY THIS EXERCISEThe least and greatest values tell you how far a data set reaches.
Try it
Write two questions about your home. Make one with a single answer and one that is statistical.
Say out loud why the second one needs data. Keep both in your Numbers Notebook.

Good start. Tomorrow you learn two ways to draw a data set: the dot plot and the histogram.