WorksheetPremium

Theater Checks: What Can a Sample Tell Us?

Evaluate theater inspection and ticket-survey samples, identify excluded groups, and distinguish estimates from facts about a population.

Grade 7MathInteractive · Printable

Aligned to7.SP.A.1

Buy this worksheet: $1.50

Or unlock every Premium worksheet with Premium

PrintUnlock to print

Answer keyUnlock to see answers

Assign to classUnlock to assign with a class code

What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Multiple choice, Matching, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

Students identify the population and sampling unit for an investigation.
Students evaluate whether a sampling method can represent its intended population.
Students distinguish sample facts from qualified conclusions about a population.

How to use

Use after introducing populations and random samples. Have students complete the checks independently, then discuss how a selection method affects the conclusions it supports.

Curriculum

Common Core standard covered

7.SP.A.1

Understand that a sample can tell about a population, and that random samples tend to represent the population well.

Preview

OwlSheets.com

Name Date

Theater Checks: What Can a Sample Tell Us?

Evaluate evidence about set materials, seats, and ticket orders.

Plan the Checks

The theater club is building sets and preparing to sell seats. Read each investigation carefully.

Match each investigation to the type of item that should be randomly selected.

Estimate the share of installed seats with loose hinges.
Estimate the share of painted set panels with rough edges.
Estimate the share of ticket orders requesting accessible seating.

A. An installed seat
B. A ticket order
C. A painted set panel

The club wants to describe the condition of every installed seat. It randomly selects seat numbers from the main-floor list only.

Installed Seats
Location	Number of seats
Main floor	144
Balcony	56

What is the main problem with this plan?

A. The main-floor seats have no chance of selection.
B. The two locations must contain equal numbers of seats.
C. The sample must include every installed seat.
D. The balcony seats have no chance of selection.

There are 72 set panels, labeled 1 through 72. Select every procedure that randomly selects 12 different panels from the full collection.

Use a computer to select 12 different numbers from 1 through 72, each equally likely.Ask the set designer to choose the 12 panels that look most typical.Mix 72 identical folded slips, one per panel, and draw 12 without looking.Inspect the 12 panels nearest the workshop door.

The preview shows the first questions. Unlock the worksheet to see all of it.