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7.07 Z-scores

Adaptive
Worksheet

Interactive practice questions

A data set is approximately normally distributed with a mean of $3$3 and a standard deviation of $5$5.

Find the value of the $z$z-score that corresponds to a value of $8$8 from the data set.

Easy
< 1min

A data set is approximately normally distributed with a mean of $9$9 and a standard deviation of $2$2.

Easy
< 1min

A data set is approximately normally distributed with a mean of $3$3 and a standard deviation of $4$4.

Easy
< 1min

A data set is approximately normally distributed with a mean of $7$7 and a standard deviation of $2$2.

Easy
< 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.1b

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

A2.ST.1f

Calculate and interpret the z-score for a value in a data set.

A2.ST.1g

Compare two data points from two different distributions using z-scores.

A2.ST.1h

Determine the solution to problems involving the relationship of the mean, standard deviation, and z-score of a data set represented by a smooth or normal curve.

A2.ST.1i

Apply the Empirical Rule to answer investigative questions.

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