MM2D1d:. Outlier—data that appears to deviate markedly from other members of the sample in which it occurs. For our purposes, any data that falls beyond.

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Presentation transcript:

MM2D1d:

Outlier—data that appears to deviate markedly from other members of the sample in which it occurs. For our purposes, any data that falls beyond (+ or -) 2 standard deviations from the mean can be considered an outlier on the normal curve.

The weight of 378 males was measured to find an average weight of 158 pounds with a standard deviation of 6 pounds. A) Draw the Normal Curve for this scenario B) What percent of the population is between 146 and 158? C) What percent of the population is greater than 170 pounds? D) How many from the population weigh less than 146 pounds?

The average length of a boat coming in to Seattle harbor is 422 feet. The standard deviation is 32 feet. When the measurements were made 658 boats went into the harbor. Draw the normal distribution for this scenario How many boats were longer than 486 ft.? How many boats were between 390 and 422 feet? How many boats were less than 500 feet?

Z-score – the z-score is a measure of the number of standard deviations away from the mean.

On pg 296 is the cumulative z-score table What this (and most z-tables) show is the cumulative percent LESS THAN the z-value

The z-value for -0.6 is shown on the table as an example Find each of the following values: P(z<1.2) P(z<0.4) P(z<-1.3) P(z>2.2) P(z>-1.7) P(-0.5<z<1.3) P(-.23<z<1.56)

Example: The average IQ is 100 with a standard deviation of 15. Find each of the following. What percent make above a 130 on the IQ test – considered gifted? You take the IQ test and score a 125 – what is your percentile? Students in an Acc Math 2 class had a range of IQ’s between 107 and 158 – what percent of the general population would be in this range? What percentile is an IQ of 95?

Billy takes the ACT and makes a 27 on it. Joni takes the SAT and makes a Their scores did not include a percentile, so they were unable to compare their scores to know who did better. Use the information below to find out who really did better when compared to the population. The average ACT score is a 21 with a standard deviation of 5.2. The average SAT score is a 1500 with a standard deviation of 173. (Can we add the 3 standard deviations or 100?) Who really had the highest score?