Suppose that the weekly unit sales for two small franchise stores in Florida and

Question

Suppose that the weekly unit sales for two small franchise stores in Florida and Colorado are recorded o The following boxplots display the resulting weekly unit sales in intervals of 25 ver a one year period. Colorado Florida 125 150 5200 225 250 275 Weekly sales (product unts Select all of the statements that describe the two boxplots above. [] lhe median of weekly unit sales in onda is greater than the median of weekly sales in Colorado. The top 25% of weekly unit sales in Colorado has less variation than the top 25% of weekly sales in Ronda. O The first quartile of weekly unit sales in Florida is less than the first quartile of weekly unit sales in Colorado. Weekly unit sales in Colorado have more extreme values than weokly sales in Florida. weekly unit sales in Floridi are more consistent than weekly sales in Colorado.

Explanation / Answer

(i) The median of weekly unit sales in Florida is greater than the median of weekly sales in Colorado. (TRUE)

because the median of Florida=210 which is greater than the median of Colorado=180

(ii) FALSE (because the top 25% in Colorado has greater variation than Florida).

(iii) the first quartile of Florida=180 and the first quartile of Colorado=170 hence, the first quartile of Florida is greater than the first quartile of Colorado.

Hence, FALSE.

(iv) weekly unit sales in Colorado have more extreme values than in Florida. (TRUE)

(Because of the extreme value of Colorado=280 which is greater than 250 ).

(v) TRUE(weekly unit sales in Florida are more consistent than weekly sales in Colorado).

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