Statistics Normal Distribution

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.5?

• 68%

• 47.5%

• 95%

• 81

What percentage of females are between 5'3.5" and 5'6.5"?

• 81.5%

• 68%

• 16%

• 95%

68% of the marks in a test are between 51 and 64

Assuming this data is normally distributed, what are the mean and standard deviation?

• Mean = 57

  S.D. = 6.5

• Mean = 57

  S.D. = 7

• Mean = 57.5

  S.D. = 6.5

• Mean = 57

  S.D. = 6.5

Between what two standard deviations of a normal distribution contain 68% of the data?

• two below and zero

• one below and one above

• two below and two above

• zero and two above

According to the empirical rule, what percentage of data falls within 1 standard deviation?

• 95

• 99.7

• 68

• 25

What shape is a normal distribution curve?

• Round curve

• Square curve

• Bell curve

• Half curve

Which is NOT a characteristic of normal distribution?

• Bell-shaped

• Continuous

• Random

• Symmetrical

The normal curve is symmetrical about the mean.

• True

• False

The distribution of weekly incomes follows the normal probability distribution, with a mean of $1,000 and a standard deviation of $100. What is the sign of the z value corresponding to an income of $1,200?

• negative

• positive

According to the normal distribution, what percent of the population has an IQ between 70 -115

• 68%

• 81.5%

• 95%

• 47%