Statistics & Probability: Summative Test 2

Which term describes the normal curve which gets closer and closer to the horizontal axis but never touches it?

• Asymptotic

• Symmetrical

• Parabolic

• Asymptomatic

A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away from the mean is a value of 11?

• One standard deviation above the mean.

• Two standard deviations above the mean.

• One standard deviation below the mean.

• Two standard deviations below the mean.

Which of the following describes a normal distribution?

• The normal distribution curve is asymmetrical about the mean.

• The mean, median and mode are located at the center of the distribution.

• The standard normal distribution has a mean of 1 and standard deviation of 0.

• The normal curve is asymptomatic to the x-axis.

What percent of the area falls within 2 standard deviations from the mean?

• 68.3%

• 95.4%

• 99.7%

• 47.70%

The weights (in kg) of TVL students follow a normal distribution and have a mean of 50 kg and a standard deviation of 5 kg. What is the probability that the students’ weight is greater than

57 kg?

• 41.92%

• 91.92%

• 8.08%

• 80.08%

Given the 𝜇 = 20 and 𝜎 = 4, find P(12 < x < 24).

• 0.1815

• 0.4770

• 0.8185

• 0.6830

The distribution of heights of SHS male students is approximately normal with a mean of 65 inches and standard deviation of 2 inches. What percentage of male students are taller than

69 inches?

• 47.7%

• 2.28%

• 2.15%

• 84.15%

The average waist size for teenage males is 29 inches with the standard deviation of 2 inches. What is the z-score of a teenage male with a 33-inch waist size?

• -2

• -1

• 1

• 2

What is the area to the left of z = -0.85?

• 0.5000

• 0.3023

• 0.1977

• 0.8023

Your score is at the 75th percentile. This means that

• You scored higher than 75% of the group.

• You scored lower than 75% of the group.

• You got a score of 75.

• You got a score below 75.