The data below represents the number of practices each member of Nidhi's ski team attended.
$$
25,28,29,29,30,34,35,35,37,38
$$

Which box plot correctly summarizes the data?

Choose 1 answer:
(A)
(B)
(C)

Question

The data below represents the number of practices each member of Nidhi's ski team attended.
$$
25,28,29,29,30,34,35,35,37,38
$$

Which box plot correctly summarizes the data?

Choose 1 answer:
(A)
(B)
(C)

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the quartiles of the given data set, we first arrange the data in ascending order. ‖ ‖ step 2 ⋮ The data set in order is: $25, 28, 29, 30, 34, 35, 35, 37, 38$. ‖ ‖ step 3 ⋮ According to the asksia-ll calculation, the first quartile (Q1) is at $\frac{115}{4}$, which simplifies to $28.75$. ‖ ‖ step 4 ⋮ The median (Q2) is given as $34$. ‖ ‖ step 5 ⋮ The third quartile (Q3) is at $\frac{71}{2}$, which simplifies to $35.5$. ‖ ‖ step 6 ⋮ To create a box plot, we use the minimum, Q1, median, Q3, and maximum values. ‖ ‖ step 7 ⋮ The minimum value is $25$, Q1 is $28.75$, the median is $34$, Q3 is $35.5$, and the maximum value is $38$. ‖ ‖ step 8 ⋮ The box plot that matches these values will be the correct summary of the data. ‖ ∻[1] Answer∻ ⚹ The correct box plot is the one that has the minimum at 25, first quartile at 28.75, median at 34, third quartile at 35.5, and maximum at 38. ⚹ ∻Key Concept∻ ⚹Quartiles and Box Plots⚹ ∻Explanation∻ ⚹Quartiles divide the data set into four equal parts, and the box plot visually represents these quartiles along with the minimum and maximum values of the data set.◊What is the formula for calculating the interquartile range of a dataset represented by a box plot?⍭ Generate me a similar question◊⚹

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