Properties of Normal Distribution AP Statistics

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
What is the probability the next male long jumper from State College jumps longer than 270 inches?

• 0.1888
• 0.3085
• 0.8035
• 0.3585

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
How far did a male long jumper for State College jump if his jump was 1.68 standard deviations below the mean?

• 236.96 inches
• 239.48 inches
• 286.52 inches
• 289.04 inches

The z-score represents.....

• the number of standard deviations a data value is above or below the mean.
• the percentile the data value is above or below the mean.
• the number of standard deviations a data value is above or below the median.
• the percent the data value is above or below the mean.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
What is the standardized score of a male jumper from State College who jumped 280 inches?

• -1.21
• -1
• 1
• 1.21

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.

Suppose a male long jumper's jump ranked at the 50th percentile. How far did he jump?

• 0.50 inch

• 14 inches

• 50 inches

• 263 inches

The percentile represents the....

• percent of data values that are below a specific value.

• percent of data values that are at or above a specific value.

• number of data values that are at or below a specific value.

• number of data values that are below a specific data value.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.

Suppose a male long jumper's jump ranked at the 75th percentile. How long was his jump?

• 0.67 inch

• 263 inches

• 272.44 inches

• 277.25 inches

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.

If a male long jumper from State College jumps 265 inches, what percentile does he fall at?

• 56th

• 57th

• 67th

• 79th

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches. 
If a male long jumper from State College jumps 270 inches, what percent of male long jumpers jumped further than him?

• 31%
• 39%
• 69%
• 70%

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.

What is the maximum distance a male longer jumper needs to jump to be at the bottom 10% of all male long jumpers from State College?

• 0.4602 inches

• 245.06 inches

• 280.94 inches

• 281.77 inches