Students were asked how much money they had in their pocket. The results are as follows: \( \begin{array}{llllllllllllllll}0 & 0 & 1 & 3 & 3 & 5 & 5 & 5 & 6 & 7 & 9 & 10 & 10 & 13 & 20 & 20 \\ 22 & 23 & 25 & 31 & 95\end{array} \) The 5 number summary and IQR have been calculated for you. Q1:4 Min: 0 IQR: 17 Max:95 Median:9 Leave your answers as decimals if needed. Don't 21 round. The low end value is The high end value is
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The low-end value, also known as the lower bound for potential outliers, can be found using the formula: \(Q1 - 1.5 \times IQR\). Plugging in the values, we have \(4 - 1.5 \times 17 = 4 - 25.5 = -21.5\). Since we can't have a negative amount of money, the low-end value would be considered as 0. For the high-end value, we use the formula: \(Q3 + 1.5 \times IQR\). Here, \(Q3\) is calculated as \(Q1 + IQR\), which gives us \(4 + 17 = 21\). Therefore, the high-end value is \(21 + 1.5 \times 17 = 21 + 25.5 = 46.5\). Thus, the high-end value is 46.5.
