Question

question 5 (1 point)
which statement is true for a normal distribution?
outcomes near the middle of the distribution
are more likely than outcomes far from the
middle
the left side of the distribution is not
symmetric with the right side about the
centre
all outcomes are equally likely
none of the above

Explanation:

• A normal distribution is symmetric about its mean (centre). So the statement "The left side of the distribution is not symmetric with the right side about the centre" is false.
• In a normal distribution, outcomes near the mean (middle) have higher probability (are more likely) than outcomes far from the mean. So "Outcomes near the middle of the distribution are more likely than outcomes far from the middle" is true.
• "All outcomes are equally likely" is false as normal distribution is a continuous probability distribution with varying probabilities (density) across outcomes.

Answer:

Outcomes near the middle of the distribution are more likely than outcomes far from the middle