MAT243 - 1.2 Discussion - Applying statistical concepts.doc - 1.2 Discussion Applying Statistical Concepts to Everyday Life Temperature These are the

MAT243 - 1.2 Discussion - Applying statistical concepts.doc...

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1.2 Discussion: Applying Statistical Concepts to Everyday Life: Temperature These are the temperatures in Syracuse, NY for the last seven days (measured in degrees Fahrenheit): Date High Low Tuesday – August 27, 2019 75 57 Wednesday – August 28, 2019 72 63 Thursday – August 29, 2019 75 59 Friday – August 30, 2019 79 57 Saturday – August 31, 2019 72 54 Sunday – September 1, 2019 72 52 Monday – September 2, 2019 75 61 Mean is the sum of the data values in a dataset divided by the number of values in the dataset. High: 75 + 72 + 75 + 79 + 72 + 72 + 75 = 520 / 7 = 74 Low: 57 + 63 + 59 + 57 + 54 + 52 + 61 = 403 / 7 = 58 Median is the middle value in a sorted data set. High: 72, 72, 72, 75, 75, 75, 79 So the median for these values is 75. Low: 52, 54, 57, 57, 58, 61, 63 So the median for these values is 57 Mode is the most commonly used value for a dataset and measures of center. A data set can have more than mode if two values have the same amount. High: 72(3), 75(3) 79(1) = 72 & 75 Low: 52(1), 54(1), 57(2), 58(1), 61(1), 63(1) = 57
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Unformatted text preview: The measure which can be misleading in a data set is the mean because it can include an outlier which can drastically affect the mean but not the median. An outlier is a value which is either much larger or much smaller than the rest of the data collected. This can throw off a sample. The mean absolute deviation (MAD) for my data set is MAD (Mean Absolute Deviation) is the difference of the mean dataset and the actual values. High: |75-74|72-74|75-74|79-74|72-74|72-74|75-74| 1 + 2 + 1 + 5 + 2 + 2 + 1----------------------------------------------------------------=------------------------------= 2 7 7 Low: |57–58|63-58|59-58|57-58|54-58|52-58|61-58| (-1) + 5 + 1 + -(1) + (-4) + (-6) + 3----------------------------------------------------------------=----------------------------------------- = -.43 7 7 Central Tendency and Spread Low Temp High Temp Mean 58 74 Median 57 75 Mode 57 72 & 75 Min 52 72 Max 63 79 Range 11 7 St. Dev 3.5 2.3 MA Dev 0.42 2...
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