3.4/3.5 Normal Distribution

10 Questions | By Jensenmath9 | Last updated: Mar 21, 2022 | Total Attempts: 481

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1.

In a normal distribution, approximately what percent of data is within two standard deviations of the mean?
- A.
  
  68
- B.
  
  75
- C.
  
  95
- D.
  
  99.7
2.

The graph of a normal distribution forms what shape?
- A.
  
  U-shaped
- B.
  
  Mound shaped
- C.
  
  Uniform
- D.
  
  Skewed
3.

If X~N(10, 2²), then the standard deviation equals
- A.
  
  10
- B.
  
  2
- C.
  
  4
- D.
  
  12
4.

Annual rainfall in Coastville is normally distributed with a mean of 60 cm and a standard deviation of 7 cm. For what percent of the years will the annual rainfall be between 53 cm and 60 cm?
- A.
  
  5%
- B.
  
  16%
- C.
  
  34%
- D.
  
  68%
5.

The z-score corresponding to the 44th percentile is
- A.
  
  -2.62
- B.
  
  -0.15
- C.
  
  0.44
- D.
  
  4.40
6.

If X~N(35, 3²), what percent of the data are greater than 37? Round to the nearest percent.
7.

If X~N(35, 3²), what percent of the data are between 30 and 37? Round to the nearest percent.
8.

If X~N(35, 3²), what percent of the data are less than 29? Round to the nearest percent.
9.

To earn a scholarship, Luc needs to score in the 87th percentile on an entrance test. If test marks are normally distributed with a mean of 400 and a standard deviation of 28, what mark (to the nearest whole number) is he aiming for?
10.

For X~N (6, 2²) the z-score of x = 4.5 is