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A LEVEL APPLIED MATHEMATICS SEMINAR QUESTIONS 2023
STATISTICS
1. (a). A certain set of data contain p zeros and q ones. Find the
(i). Mean
(ii). Standard deviation of the data
(b) (i). Calculate the mean and standard deviation of the four number 2, 3, 6, 9.
(ii). Two number 𝑎 and 𝑏 are to be added to this set of four number in bi), such that the mean is
increased by 1 and the variance is increased by 2.5. Find 𝑎 and 𝑏
(c) The heights and corresponding masses of 7 tourists were taken, and ranked as shown.
Calculate the spearman’s’ rank correction coefficient for this data. Comment on your result
RANKS


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