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5 votes
36. A survey provides the data shown.

2, 5, 6, 6, 7, 7, 8, 8, 9, 11, 13

Which box plot represents the data?

T --

0

5

10

15

+→

15

5

10

+

0

5

10

15

D

--

0

5

10

15

1 Answer

3 votes

Answer:

To create a box plot, we need to find the minimum, maximum, median, and quartiles of the data.

The minimum value is 2, and the maximum value is 13.

To find the median, we need to order the data from smallest to largest:

2, 5, 6, 6, 7, 7, 8, 8, 9, 11, 13

The middle value is the median. Since there are 11 data points, the median is the average of the 6th and 7th values, which is:

median = (7 + 8)/2 = 7.5

To find the quartiles, we need to find the median of the lower half of the data and the median of the upper half of the data.

Lower half:

2, 5, 6, 6, 7

Median of the lower half = 6

Upper half:

8, 8, 9, 11, 13

Median of the upper half = 9

So, the quartiles are 6 and 9.

Now we can draw the box plot:

```

D

---

| + +---+

| | |

| | |

| +---+ |

+-------|-------|

2 13

```

This is option D, so the answer is D.

Explanation:

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