Bakery Planning: Which Questions Expect Variation?

Recognize statistical questions while planning recipes for a school event.

Recognize Statistical Questions

A statistical question anticipates variation in the data collected to answer it. Decide whether each question expects answers to vary.

A bakery is scaling its recipes to prepare for a school event. The planning team needs both fixed recipe information and data that may vary across students, bakers, or batches.

Which question is statistical?

A. How many eggs does the written recipe require for one batch?B. How many tablespoons are equal to one cup?C. How many muffins does each student attending the event expect to buy?D. How many batches are listed on the bakery’s final order form?

Which question has one fixed answer rather than an anticipated set of varying answers?

A. How much does each finished loaf weigh?B. What oven temperature is printed in the recipe?C. Which pastry does each student prefer?D. How long does each baker take to mix a batch?

Classify each question.

The team asks, “Which bread flavor does each student prefer?” Why is this a statistical question?

A. Students may name different flavors, producing varying data.B. Asking many students guarantees they will all disagree.C. A preference question always has one correct flavor.D. Every statistical question must have a numerical answer.

Select both statistical questions. A single baker can produce data that vary across repeated trials.

Choose Useful Questions

Apply the idea of expected variation to the bakery’s planning decisions.

The bakery must decide how many batches to prepare. Which statistical question would provide useful information about student demand?

A. How many rolls does the written recipe say one batch makes?B. How many cups of flour does the written recipe require?C. How many trays fit on the bakery’s empty storage shelf?D. How many rolls does each student expect to buy at the event?

The team asks, “How much does each muffin made from the larger recipe weigh?” Which collection plan best answers this statistical question?

A. Weigh muffins from several larger batches and record each weight.B. Weigh one muffin and record that same weight for every muffin.C. Read the flour weight from the original recipe and record it.D. Count the muffins in one larger batch and record the total.

The bakery is checking whether a larger recipe produces rolls of consistent size. Select both questions that are statistical and directly investigate variation in roll size.

The team wants to turn “How long did today’s first batch take to mix?” into a statistical question about mixing time. Which revision works?

A. At what time did today’s first batch finish mixing?B. How long does each of 12 trial batches take to mix?C. What mixing time is printed in the original recipe?D. How many seconds equal the first batch’s mixing time?

10.

Many numbers do not automatically make a question statistical. Classify these questions by whether they anticipate variation in collected data.

Check the Reasoning

Focus on what the question expects before data are collected, not just on the answers already observed.

11.

Before baking, the team asked, “How many cracked cookies will each trial batch produce?” The first four results are shown.

Trial Batch Results
Trial batch	Cracked cookies
1	2
2	2
3	2
4	2

Which statement correctly classifies the original question?

A. It is statistical because every question about baking is statistical.B. It is not statistical because all four observed counts are equal.C. It is not statistical because the results are whole numbers.D. It is statistical because cracked-cookie counts could vary by batch.

12.

Select both questions that expect variation in categories rather than in numerical measurements.

13.

Luis says, “We do not know how many cups of flour the written recipe requires, so that is a statistical question.” Which response is correct?

A. Luis is correct because flour amounts are recorded using numbers.B. Luis is correct because any unknown answer makes a question statistical.C. Luis is incorrect because the written recipe gives one fixed flour amount.D. Luis is incorrect because statistical questions cannot involve recipes.

14.

Amara asks, “How long does each batch of dough take to rise in the bakery?” Eli says this is not statistical because the team will eventually report just one typical rising time. Explain why the original question is statistical even if the final report gives one typical time.