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Music Festival: The Numbers Behind the Schedule

Interpret measures of center and variation through music festival ticket reports, stage schedules, and planning decisions.

Grade 6MathInteractive · Printable

Aligned to6.SP.A.3

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
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Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students interpret a measure of center as one number representing a data set.
Students interpret range as a measure of how much data values differ.
Students explain why a mean does not have to equal an observed value.

How to use

Use after introducing mean, median, and range. Have students complete the reports, then discuss what each summary reveals and leaves unknown.

Curriculum

Common Core standard covered

6.SP.A.3

Know that a measure of center sums up the data with one number, while a measure of variation tells how much values differ.

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Music Festival: The Numbers Behind the Schedule

Use center and variation to interpret ticket sales and set lengths.

Ticket Desk Reports

Mean is the sum of the values divided by the number of values. Median is the middle value in an ordered list. Both describe center. Range is the greatest value minus the least value; it describes variation.

A ticket desk records sales during four equal time periods.

Advance Ticket Sales
Period	Tickets sold
1	18
2	22
3	22
4	26

Which report uses one number to represent the center of these sales?

A. The sales range is 8 tickets.
B. The mean sale is 22 tickets per period.
C. The desk recorded four sales periods.
D. The desk sold 88 tickets altogether.

Another ticket desk reports a mean of 40 tickets per hour and a range of 18 tickets. Select the two statements that correctly interpret these numbers.

The desk sold exactly 40 tickets in every recorded hour.The number 40 summarizes the center of the hourly sales.The greatest hourly sale was 18 tickets.The greatest and least hourly sales differed by 18 tickets.

A three-day ticket report must have a mean of 32 tickets per day.