Algebra I – Unit 10 Day 5 Comparing Sets of Data !!1. a. Find the mean, median, mode, range, and standard deviation for the following set

of data. Sam’s recent homework check grades = 75, 0, 75, 100, 50 !!Median: Mode: Range:

Variance =___________ Standard Deviation = __________ !b. Sam’s teacher decided to give all homework check grades a bonus of 10 pts. Using the adjusted homework check grades, find the new mean, median, mode, range, and standard deviation. !Median: Mode: Range:

Variance =___________ Standard Deviation = __________ !c. Make a conjecture to the effect of the mean, median, mode, range, and

standard deviation of a data set if the same value n is added to each value in the data set. !!

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a. Sam’s teacher changed his mind and decided to change all homework check grades to be out of a total of 50 points (i.e. multiply the original homework check grades by 0.5). Using the adjusted homework check grades, find the new mean, median, mode, range, and standard deviation. !

Median: Mode: Range:

Variance =___________ Standard Deviation = __________ !e. Make a conjecture to the effect of the mean, median, mode, range, and

standard deviation of a data set if each value is multiplied by the same value n. !

________________________________________________________________ 2. Brittany and Justin are playing a computer game. Their high scores for each game

are shown below.

!The below histograms represent the spread of the data for both Brittany and Justin’s scores. Describe their shapes. !!!!!!!!!!!!

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Brittany’s Scores Justin’s Scores

29, 43, 54, 58, 39, 44, 39, 53, 32, 48, 39, 49, 38, 31, 41, 44, 44, 45, 48, 31

48, 26, 28, 53, 39, 28, 30, 58, 45, 37, 30, 31, 40, 32, 30, 44, 33, 35, 43, 35

3. Steve and Kurt went fishing for the weekend. The weights of the fish they each caught are shown below.

!a. The below box-and-whisker plots represent the spread of the data for both Steve and Kurt’s fish weights. Describe their shapes. !!!!!!!!!!!!!!!!

b. Given the following means and standard deviations, compare the distributions.

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Steve’s Fish (pounds) Kurt’s Fish (pounds)

1.6, 2.1, 2.6, 1.3, 2.7, 3.2, 1.4, 2.3, 3.5, 1.9, 2.2, 2.7, 3.5, 1.4, 3.7, 3.4, 1.8, 2.5, 3.0

1.1, 3.2, 2.3, 3.7, 1.7, 2.7, 2.1, 4.0, 1.0, 2.9, 2.9, 1.2, 3.3, 2.3, 4.5, 2.4, 3.9

Steve’s Fish (pounds) Kurt’s Fish (pounds)

Mean: 2.5 pounds!Standard Deviation: 0.8 pounds

Mean: 2.7 pounds!Standard Deviation: 1 pound