Practice question · Select all that apply
Select every true statement about the normal distribution.
Hints
- Two options misstate the empirical rule or the effect of the spread parameter.
- Recall which percentage goes with 1 standard deviation and which with 2.
Show the answer
- A. Its mean, median and mode all coincide
- C. It is completely determined by its mean and standard deviation
- E. It is symmetric about its mean
Why
68% lies within one standard deviation and 95% within two, so option 4 swaps them. A larger standard deviation lowers the peak, since the fixed total area must spread further. The first three are exactly the defining properties.
Practise The Normal Distribution
The app has 6 more questions on this lesson, and keeps your place in the course. Mathematics I is free to start.