Question

Math

Posted 4 months ago

```
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)
```

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Answer from Sia

Posted 4 months ago

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.

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