Questions: How can we make these normal distributions? Negative - Positive - Mode (most c case would b the 3 Eg mode being 5 and m

How can we make these normal distributions? Negative - Positive - Mode (most c case would b the 3 Eg mode being 5 and m
Transcript text: How can we make these normal distributions? Negative - Positive - Mode (most c case would b the 3 Eg mode being 5 and $m$
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Solution

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Solution Steps

Step 1: Understanding Skewness

The question asks about creating normal distributions with negative and positive skew. A normal distribution, by definition, has _no_ skew. It's symmetrical. Skewness refers to asymmetry in a distribution.

Step 2: Negative Skew

A negatively skewed distribution has a longer tail on the left side. The mean is less than the median, which is less than the mode. Think of a test where most students scored high, pulling the mean up, but a few very low scores create the "tail" on the left.

Step 3: Positive Skew

A positively skewed distribution has a longer tail on the right side. The mode is less than the median, which is less than the mean. Think of income distribution where most people earn less (creating the peak), but a small number of very high earners stretch the distribution to the right.

Final Answer:

You cannot _make_ a normal distribution negatively or positively skewed. Skewness implies the distribution is _not_ normal. A normal distribution has zero skewness. The image depicts a positively skewed distribution.

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