If the mean time to respond to a stimulus is much higher than the median time to respond, what can you say about the shape of the distribution of response times?

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31-01-2022
Mathematics

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If the mean time to respond to a stimulus is much higher than the median time to respond, what can you say about the shape of the distribution of response times?

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MrRoyal MrRoyal · Answer 1 · 2022-02-08T12:13:34+01:00

If the mean time to respond to a stimulus is much higher than the median time to respond, the shape of the distribution of response times is positively skewed

How to determine the shape of the distribution

For a distribution, the following are the relationships between the mean and the median values

Equal mean and median
Mean greater than median
Median greater than mean

When the mean is greater than the median, it means that the distribution is skewed right or positively skewed

Hence, the shape of the distribution of response times is positively skewed.