A junior analyst of a company has calculated the descriptive of the variable turnover (€) of the products, and has obtained: 74% percentile = € 1,123, Q3 = € 1,1250, 80% percentile = € 1,1250 and 81% percentile = € 1,252
a) You need to review the calculations, because it is impossible for Q3 and 80% percentile to coincide.
b) 74% of the products invoice more than € 1,123
c) Surely 19% of products invoice more than €1,252
d) There is a minimum of 5% of the products that invoice € 1,250
It is possible for Q3 and 80% percentile to coincide. when 75% of the products invoice less than € 1,250 and 20 % of the products invoice more than € 1,250. Thus a) is false.
74% of the products invoice less than € 1,123. So, b) is false.
81% of the products invoice less than €1,252. So,19% of products invoice more than €1,252 and c) is true.
As, Q3 and 80% percentile are equal to € 1,250, there is a minimum of 5% of the products that invoice € 1,250. So, d) is also true.
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