Chapter 3 Section 3

Monday is the worst day of the week.

• Yes, it is!

• No, it's not!

Match the following

• Average

• Range

• Most frequently occurring value

• Variance

• How Widely dispersed the that is

• Mode

• Average Deviation from the mean

• Mean

• Middle value when data are ordered

• Median

True or False : The standard deviation is the square root of the variance

• True
• False

What is false about the standard deviation?

• It measures the average distance of each data point from the mean
• It can be negative
• The more the spread the larger it is

• It is affected by extreme values

• It can be equal to 0

The heights of women aged 20 – 29 are approximately Normal, with µ=64 inches and σ=2.7 inches.  Find the z-score of a woman who is 60 inches tall.

• -0.74
• -2.96
• -1.48
• 0.37

The heights of women aged 20 – 29 are approximately Normal, with µ=64 inches and σ=2.7 inches. 

Given the information from the problem above for the heights of women, what is the height of a woman with a z-score of -1.6?

• 59.68 inches
• 61.2 inches
• 66.4 inches
• 62.8 inches

The mean length of a one-year-old spotted flounder is 126 mm with a standard deviation of 18 mm, and the mean length of a two-year-old spotted flounder is 162 mm with a standard deviation of 28 mm.  The distribution of flounder lengths is approximately bell-shaped.

1. Anna caught a one-year-old flounder that was 150 mm in length. What is the z score for this weight?

• 2.33
• 0.67
• 0.33
• 1.33

The mean length of a one-year-old spotted flounder is 126 mm with a standard deviation of 18 mm, and the mean length of a two-year-old spotted flounder is 162 mm with a standard deviation of 28 mm.  The distribution of flounder lengths is approximately bell-shaped.

1. Luis caught a two-year-old flounder that was 190 mm in length. What is the z-score for this length?

• 2.33
• 1

• 0.33
• 1.33

The mean length of a one-year-old spotted flounder is 126 mm with a standard deviation of 18 mm, and the mean length of a two-year-old spotted flounder is 162 mm with a standard deviation of 28 mm. The distribution of flounder lengths is approximately bell-shaped.

Anna caught a one-year-old flounder that was 150 mm in length. Z = 1.33

Luis caught a two-year-old flounder that was 190 mm in length. Z = 1

Whose fish is longer relative to fish the same age?

• Both are the same length
• Luis
• Anna
• Cannot be determined

Find the 35^th percentile

41        12        18        20        27        23        23        18        14        18        15        17

• 15
• 20
• 23
• 17
• 18