Identifying a Normal Distribution Graph

00:00 2 marks

  • Exam Style - Paper 1
  • SL
  • Tier 1
  • Symmetry
  • Normal distribution
  • Bell-shaped curve
  • Unimodal distribution
  • Asymptotic tails

Below are four descriptions of distribution curves:

1. A curve that is symmetric, bell-shaped, and unimodal with tails that approach, but never touch, the horizontal axis.

2. A curve that is skewed to the right with a long tail on the right side.

3. A curve that is skewed to the left with a long tail on the left side.

4. A curve with two distinct peaks (bimodal).

Identify which description best represents a normal distribution and briefly justify your choice.

Hint Hint

Hint

Consider the key characteristics of a normal distribution: symmetry around the mean, a bell shape, a single peak, and tails that extend indefinitely without touching the x-axis.

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  • Answer Answer

Complete Answer

Description 1 best represents a normal distribution.

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