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STA101 : Statistics for Business

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Added on  2021-06-14

STA101 : Statistics for Business

   Added on 2021-06-14

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Running Head: STA101: STATISTICS FOR BUSINESSSTA101Statistics for BusinessName of the StudentName of the UniversityAuthor Note
STA101 : Statistics for Business_1
STA101: STATISTICS FOR BUSINESS1Table of ContentsAnswer 1..........................................................................................................................................2Answer 2..........................................................................................................................................3Answer 3..........................................................................................................................................4Answer 4..........................................................................................................................................5
STA101 : Statistics for Business_2
STA101: STATISTICS FOR BUSINESS2Answer 1(a)The mean, median and mode for each quiz is given in the following table:Quiz 1Quiz 2Quiz 3Quiz 4Mean72727676Median72727286.5Mode606572#N/A(b)The median scores of the quizzes 1, 2 and 3 agree but the median score of quiz 4 ishigher. Median scores indicate that half of the scores lie above the median score. Thus, itcan be said that the performance of the students is better in Quiz 4. The mean score ofquizzes 1 and 2 are same and quizzes 3 and 4 are same. Since the median of quiz 3 issame as quizzes 1 and 2, it can be said that there is an outlier, that is a score which isconsiderably higher than the other scores, hence affecting the mean. Maximum number ofstudents scored 60 in Quiz 1, 65 in Quiz 2 and 72 in Quiz 3. No scores have been scoredmore than once in Quiz 4.(c)For the datasets 1, 2 and 3, it can be seen that the scores are quite close to each other.Thus, mean gives a good measure of centre for these three datasets. On the other hand,the scores of quiz 4 are highly variable and thus, the mean gets affected. Hence, themedian gives a better measure than the mean. (d)The scores in quiz 1 and quiz 3 are positively skewed, the scores in quiz 2 aresymmetrical and in quiz 4 the scores are negatively skewed. (e)In quizzes 1 and 3, most of the students have scored less than the average score. In quiz2, all the students have scored marks close to the average marks and in quiz 4, most of thestudents have scored more than the average score.
STA101 : Statistics for Business_3

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