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7.04 Univariate data, center, and spread

Adaptive
Worksheet

Interactive practice questions

Marge grows two different types of bean plants. She records the number of beans that she picks from each plant for $10$10 days. Her records show:

Plant $A$A: $10,4,4,5,7,10,3,3,9,10$10,4,4,5,7,10,3,3,9,10

Plant $B$B: $8,7,5,5,9,7,8,7,5,6$8,7,5,5,9,7,8,7,5,6

a

What is the mean number of beans picked per day for Plant $A$A? Leave your answer to one decimal place if needed.

b

What is the mean number of beans picked per day for Plant $B$B?

c

What is the range for Plant $A$A?

d

What is the range for Plant $B$B?

e

Which plant produces more beans on average?

Plant B

A

Plant A

B
f

Which plant has a more consistent yield of beans?

Plant A

A

Plant B

B
Medium
3min

Two machines $A$A and $B$B are producing chocolate bars with the following mean and standard deviation for the weight of the bars.

Medium
1min

Two friends compete in $100$100 m sprints and the time to complete $50$50 sprints were recorded. The mean and standard deviation for the sprints are shown below.

Medium
< 1min
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Outcomes

A2.ST.1

The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on univariate quantitative data represented by a smooth curve, including a normal curve.

A2.ST.1a

Formulate investigative questions that require the collection or acquisition of a large set of univariate quantitative data or summary statistics of a large set of univariate quantitative data and investigate questions using a data cycle.

A2.ST.1b

Collect or acquire univariate data through research, or using surveys, observations, scientific experiments, polls, or questionnaires.

A2.ST.1j

Compare multiple data distributions using measures of center, measures of spread, and shape of the distributions.

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