Answered

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The following data show the prices of different types of outfits at a store:

$25, $27, $28, $26, $25, $27, $25, $27, $26, $28, $29

Which statement is correct about the box plot for the above data? (1 point)

Sagot :

Answer:

The box plot key points:

- Minimum: 25

[tex]\(Q1\): 25[/tex]

[tex]Median (\(Q2\)): 27[/tex]

[tex]\(Q3\): 28[/tex]

- Maximum: 29

Given this, correct statements could be:

- Median is 27.

[tex]\(IQR = Q3 - Q1 = 3\).[/tex]

[tex]Min: 25, Max: 29.[/tex]

Min: 25, Max: 29.

,,

Step-by-step explanation:

1. Order the data:

[ 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29 ]

2. Calculate the median (Q2):

Since there are 11 data points, the median is the 6th value.

3. Calculate the first quartile (Q1):

The first quartile is the median of the first half of the data (excluding the median itself if the total number of data points is odd).

4. Calculate the third quartile (Q3):

The third quartile is the median of the second half of the data.

5. Identify the minimum and maximum values:

6. Summary: Compute the five-number summary.