Cengage xy\'z MindTap . Cengage Lear urse. Fall 2018.PSYC C Secure https//ng.cen

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Cengage xy'z MindTap . Cengage Lear urse. Fall 2018.PSYC C Secure https//ng.cengage.com/static/nb/ui/evo/index.html?elSBN-9781305647305&id MINDTAP From Cengage nplete: Chapter 4 Problem Set ntion: Due to a bug in Google Chroie; this page may not function correctly, click here to learn more. Calculating standard deviation and variance using the definitional formula onsider a data set containing the following values: Aa Aa 92 84 85 93 95 89 86 91 The mean of the preceding values is 89.375. The deviations from the mean have been calculated as follows: 2.625 -5.375 -4.375 3.625 5.625 0.375 -3.375 1.625 this is sample data, the sample variance is and the sample standard deviation is If this is population data, the population variance is and the population standard deviation is Suppose the largest value of 95 in the data was misrecorded as 93. If you were to recalculate the variance and standard devlation with the 93 instead of the 95, your new volues for the variance and standard deviation would

Explanation / Answer

Ans:

Sample variance=113.875/(8-1)=16.27

Sample standard deviation=sqrt(16.27)=4.03

Population variance=113.875/8=14.23

Population standard deviation=sqrt(14.23)=3.77

xi (xi-89.375) (xi-89.375)^2 1 92 2.625 6.890625 2 84 -5.375 28.890625 3 85 -4.375 19.140625 4 93 3.625 13.140625 5 95 5.625 31.640625 6 89 -0.375 0.140625 7 86 -3.375 11.390625 8 91 1.625 2.640625 Total= 715 113.875 Mean= 89.375

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