A company held a blood pressure screening clinic for its employees.The results are summarized in the table below by age group and blood pressure level. $166068\begin{array}{|l|ccc|}& \text { AGE}\\\hline \text {BLOOD PRESSURE }& \text { Under } 30 & 30-49 & \text { Over } 49 \\\hline \text { Low } & 29 & 38 & 32 \\\text { Normal } & 46 & 86 & 89 \\\text { High } & 16 & 60 & 68\\\hline\end{array}$ Find the marginal distribution of blood pressure level.

A) 20% low,40% normal,41% high
B) 20% under 30,40% between 30-49,41% over 50
C) 21% low,48% normal,31% high
D) 32% low,51% normal,18% high
E) 27% low,91% normal,45% high

Question

A company held a blood pressure screening clinic for its employees.The results are summarized in the table below by age group and blood pressure level.

166068\begin{array}{|l|ccc|}& \text { AGE}\\\hline \text {BLOOD PRESSURE }& \text { Under } 30 & 30-49 & \text { Over } 49 \\\hline \text { Low } & 29 & 38 & 32 \\\text { Normal } & 46 & 86 & 89 \\\text { High } & 16 & 60 & 68\\\hline\end{array}

Find the marginal distribution of blood pressure level.

A) 20% low,40% normal,41% high
B) 20% under 30,40% between 30-49,41% over 50
C) 21% low,48% normal,31% high
D) 32% low,51% normal,18% high
E) 27% low,91% normal,45% high

Katelynn Herrick · Accepted Answer

Final Answer : C, Explanation :   To find the marginal distribution of blood pressure level, sum the counts for each blood pressure category across all age groups, then divide by the total number of observations. Low:   29 + 38 + 32 = 99 29+38+32=99 29 + 38 + 32 = 99  , Normal:   46 + 86 + 89 = 221 46+86+89=221 46 + 86 + 89 = 221  , High:   16 + 60 + 68 = 144 16+60+68=144 16 + 60 + 68 = 144  . Total:   99 + 221 + 144 = 464 99+221+144=464 99 + 221 + 144 = 464  . Percentages: Low:   99 / 464 ≈ 21 % 99/464 \approx 21\% 99/464 ≈ 21%  , Normal:   221 / 464 ≈ 48 % 221/464 \approx 48\% 221/464 ≈ 48%  , High:   144 / 464 ≈ 31 % 144/464 \approx 31\% 144/464 ≈ 31%  .

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