Common Core Standard HSS-ID.A.4 Questions

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Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4

The random variable

$mu=45$ and

$sigma=9.5$ . If

$P(x_0 <= X <= x_1) ~~ 82%$ , determine

$x_0$ and

$mu - x_0 = x_1 - mu$ .

Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4

Which of the following is true about calculating a z-score for data which is not normally distributed?

There is no difference from normally distributed data.
Although it can be computed, it may not have a typical (or any useful) meaning.
It can be computed, but the formula is slightly different (one takes the square root of the usual z-score).
It is impossible to compute the z-score for non-normally distributed data.

Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4

Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4

A random variable

$x_0$ and

$x_0$ and

$x_1$ , to the nearest tenth.

Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4

Which of the following is true concerning z-scores?

Z-scores are always positive.
Z-scores are negative only when the population mean is negative.
Z-scores are positive if the mean is less than the raw score, and negative if the mean is greater than the raw score.
Z-scores are positive if the standard deviation is greater than the raw score, and negative if the standard deviation is less than the raw score.