Question

question 8

what does a wider normal distribution curve indicate about a data set?

• a large number of observations fall relatively far away from the mean, median, and mode.
• the mode is smaller than the median and the mean.
• a large number of observations are concentrated close to the mean, median, and mode.
• the mode is larger than the median and the mean.

Explanation:

Analyze the shape of a normal distribution

Using the Normal Distribution Properties knowledge point

A normal distribution curve is bell-shaped and symmetric about its center, where the mean, median, and mode are all equal. The width of the curve is determined by its standard deviation, which measures the spread or variability of the data.

Interpret a wider curve

Using the Normal Distribution Properties knowledge point

A wider curve indicates a larger standard deviation. This means that the data points are more spread out, resulting in a larger number of observations falling relatively far away from the central values (the mean, median, and mode).

Answer:

• (A) A large number of observations fall relatively far away from the mean, median, and mode. (Correct answer)
• (B) The mode is smaller than the median and the mean.
• (C) A large number of observations are concentrated close to the mean, median, and mode.
• (D) The mode is larger than the median and the mean.