Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. which of these curves is normally distributed?

Question

  1. which of these curves is normally distributed?

Explanation:

Brief Explanations

A normal distribution curve (also called a bell curve) is symmetric about the mean, meaning the left and right sides of the peak are mirror images. Let's analyze each option:

  • Option A: The left and right sides of the curve are not symmetric. The left side rises more gradually, and the right side falls more steeply, so it's not a normal distribution.
  • Option B: The curve is not symmetric. The left side rises steeply, and the right side falls more gradually, so it's not a normal distribution.
  • Option C: The curve is symmetric about the peak. The left and right sides mirror each other, which matches the characteristics of a normal distribution curve.

Answer:

C. The curve that is symmetric about its peak (matches the normal distribution's symmetric bell - shaped curve)