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Embed code for: assgn2 wk 2 Purvis.C 2
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1) The mean of this sample is 45.5 minutes walked in the first week. The mean is calculated by adding the scores together then dividing total by the number of scores, The mean tells me that participants in the sample walked 45.5 minutes in a week.
2)The median of this sample is 45 minutes walked. The median is calculated by determining the score at the 50th percentile. The median tells me that 50% of participants walked 45 minutes above and 50 % walked below 45.in the sample.
3)The mode of this sample has two 44 & 45 minutes were the highest frequency making it a bimodal. The mode is determined by the scores with the highest frequency. This sample identifies two modes and tells me that most of the minutes walked were around 44 or 45.
4)The range for this sample 77-12= 65. The range is determined by the highest minutes walked subtracted from the lowest minutes walked. The range tells me the minutes walked are spread out from 77 to 12.
5)The deviation of highest score from the mean is 3.13. The deviation of the highest score from the mean is calculated by the square root of the highest deviation (45.5-31.5) =14 squared = 196 divided by 20 = 9.8 square root = 3.13. This tells me the average amount that score deviates.
6)The estimated population standard deviation in this sample is 16.90 minutes walked in a week. The estimated population standard deviation is calculated by squaring each score of minutes walked next subtracting the mean; add each squared score for minutes walked then divide the total of scores next take the square root to the sum.
7) The sum of squared x2, the sample variance the number of minutes walked is 306.75. This is calculated by finding the sum of all the minutes walked, square the sum then divide by the N then subtract then divide.
8) Squared sum of X. This sample tells me the minutes walked is 17.51. This is calculated by finding the sum of all the minutes walked, square the sum then divide by the N then subtract then divide then square root.
10) The standard deviation shows how much a score differs from the mean where the deviation of a single score from the mean is the difference between the score and the mean.
11) If the lowest score were eliminated from the data set the mode would increase and change from bimodal to mode. The mean would increase due to the number and sum of the scores decreasing. The median will increase due to the number at the 50% changing to 46. The deviation of the highest score and standard deviation will increase due to the mean increasing.
Heiman, G (2015). Behavioral Sciences STAT2.Standford: Cengage Learning