College Applications Activity - Variability

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Modesto Junior College *

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134

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Health Science

Date

Feb 20, 2024

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docx

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Uploaded by wenfries

Name: Wendi Maqueda How many colleges are you applying to? How many different colleges in total is your group applying to? Talk with each other and find out the unique total for your group. 1. Record your group data for the class in this Google Sheets . Finding Quartiles 2. a. List the data below in order from least to greatest. Find the median of the data. Draw a line in the data set to mark this and write in the median value. You have now split the data set into two halves 2, 3, 4, 5, 5, 6, 7, 8 Median= 5 b. Find the median of each of the halves. Draw a vertical line to mark each of these in the data set above and write in the values. You’ve now split the data set into four groups (or quarters). The median of the lower half is called the first quartile ( Q 1 ¿ and the median of the upper half is called the third quartile ¿ ). 3.5 & 6.5 Finding Standard Deviation 3. Finding range is helpful but it does not tell us how spread out the data is between the minimum and maximum. How can we find the “ average” distance of the values from the mean ? a. Find the mean of the data. Mean= 5 b. Find the distance of each piece of data from the mean. (standard deviation) Standard dv: 2 c. Square the differences to make them positive.

Name: Wendi Maqueda d. Find the “average”. Average: 5 e. Square root to undo the squares. 4. Go to StatCrunch and enter in the classroom data. Find the summary statistics to verify our work. Measuring Variability Have we found the beef? Here are data on the amount of fat (in grams) in 12 different McDonald’s beef sandwiches, along with a dotplot. The mean fat content for these sandwiches is x = 22.833 grams. 27 11 22 21 40 8 17 15 29 31 27 26 1. Find the range of the distribution. 40- 8= 32 2. Find the interquartile range. Interpret this value in context. The iqr is 12 grams of fat representing the typical spread of fat to this data set relative to the median as opposed to the mean. 3. Calculate the standard deviation. Interpret this value in context. 9.06 gram of fat which indicates the spread to this data set relative to the center mean value of 4. a. The dotplot suggests that the Bacon Clubhouse Burger, with its 40 grams of fat, is a possible outlier. Recalculate the range, interquartile range, and standard deviation for the other 11 sandwiches. Important formulas to remember:

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