Question

Which of the following is false? Hint: It might be useful to sketch the distributions.

Group of answer choices

If observations don’t come from a distribution that’s nearly normal, we can’t calculate percentiles based on the Z table.

The Z score for the median of a symmetric distribution is approximately 0.

If you calculated the Z score for the median of a right skewed distribution, you’d most likely get a positive number.

Regardless of the shape and skew of a distribution, Z scores are still defined and can be calculated for observations from that distribution.

Answer 1

1) If observations don’t come from a distribution that’s nearly normal, we can’t calculate percentiles based on the Z table. - True

2) The Z score for the median of a symmetric distribution is approximately 0. - True

Because z score for z = 0.5 is 0

3) If you calculated the Z score for the median of a right skewed distribution, you’d most likely get a positive number. - False

4) Regardless of the shape and skew of a distribution, Z scores are still defined and can be calculated for observations from that distribution. - True