A normalized distribution of scores has:

A normalized distribution of scores has:

• A. A skewed distribution with a long tail
• B. A single peak in the center and the same score for the mean, mode, and median
• C. A uniform distribution with constant frequencies
• D. A bimodal distribution

Answer: (B)

A normal distribution is symmetric and bell-shaped, with most scores clustering around the center and fewer as you move away. This symmetry makes the mean, median, and mode all fall at the same point, creating a single central peak. That single peak and shared central tendency is what characterizes a normalized distribution in this context. If the distribution were skewed with a long tail, the mean, median, and mode would not align because the tail pulls the mean away from the center of the data. A uniform distribution has constant frequencies across the range, so there isn’t a single central peak. A bimodal distribution has two peaks, not one, so it wouldn’t match the shape of a normal distribution.

A normal distribution is symmetric and bell-shaped, with most scores clustering around the center and fewer as you move away. This symmetry makes the mean, median, and mode all fall at the same point, creating a single central peak. That single peak and shared central tendency is what characterizes a normalized distribution in this context.

If the distribution were skewed with a long tail, the mean, median, and mode would not align because the tail pulls the mean away from the center of the data. A uniform distribution has constant frequencies across the range, so there isn’t a single central peak. A bimodal distribution has two peaks, not one, so it wouldn’t match the shape of a normal distribution.