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8.05 Understanding z-scores

Interactive practice questions

A data set is approximately normally distributed. Let $x$x and $y$y be scores from the data set where $x$x has a $z$z-score of $2$2 and $y$y has a $z$z-score of $3$3.

a

Which event is more likely?

Randomly selecting a score in the dataset greater than $x$x.

A

Randomly selecting a score in the dataset greater than $y$y.

B
b

Which event is more likely?

Randomly selecting a score in the dataset less than $x$x.

A

Randomly selecting a score in the dataset less than $y$y.

B
Easy
< 1min

A data set is approximately normally distributed. Let $x$x and $y$y be scores from the data set where $x$x has a $z$z-score of $2.03$2.03 and $y$y has a $z$z-score of $2.77$2.77.

Easy
< 1min

A data set is approximately normally distributed. Let $x$x and $y$y be scores from the data set where $x$x has a $z$z-score of $-1$1 and $y$y has a $z$z-score of $-2$2.

Easy
< 1min

A data set is approximately normally distributed. Let $x$x and $y$y be scores from the data set where $x$x has a $z$z-score of $-0.96$0.96 and $y$y has a $z$z-score of $-0.21$0.21.

Easy
< 1min
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Outcomes

MS2-12-2

analyses representations of data in order to make inferences, predictions and draw conclusions

MS2-12-7

solves problems requiring statistical processes, including the use of the normal distribution and the correlation of bivariate data

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