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Find the 5 number summary for the data shown below.1848815814259130485 number summary:Check Answer

User Eric Cornelson
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1 Answer

27 votes
27 votes

isLet's start finding the 5 number summary of the given data by arranging them first from the lowest value to the highest value. We have


\rightarrow4,5,15,18,30,42,48,81,88,91

Based on this arrangement, we can find two important numbers for the 5 number summary which are the minimum and the maximum numbers. The minimum number is 4 while the maximum number is 91.

The next number for the 5 number summary is the median of the data. The median can be computed as the average of the data. We have


\mu=(4+5+15+18+30+42+48+81+88+91)/(10)=42.2

For the final two numbers for the 5 number summary, let's arrange the data set where we have the lower part (numbers below the median) and the upper part (number above the median). We have


\begin{gathered} \rightarrow4,5,15,18,30 \\ \rightarrow48,81,88,91 \end{gathered}

For the lower part data set, the middle number represents its median. Hence, the median for the lower part is 15. For the upper limit, since we don't have a middle term, let's compute for the median. We have


(48+81+88+91)/(4)=77

The closest number to 77 on the number set is 81, hence, 81 is the other number for the 5 number summary.

Therefore, the 5 number summary for the data given is 4, 15, 42.2, 81, and 91.

User Nelsonda
by
3.5k points
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