Middle School

We appreciate your visit to Amanda surveyed 13 students in her class about their heights in inches Her data are listed below 52 53 55 55 56 57 58 58. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Amanda surveyed 13 students in her class about their heights in inches. Her data are listed below:

52, 53, 55, 55, 56, 57, 58, 58, 59, 59, 59, 62, 65

Which box plot correctly displays her data?

Answer :

To create a box plot (also known as a box-and-whisker plot) for Amanda's data on student heights, we need to identify five key summary statistics: the minimum, first quartile (Q1), median, third quartile (Q3), and the maximum.

Here are the steps to create a box plot:

  1. Order the data: The data is already in ascending order:
    [tex]52, 53, 55, 55, 56, 57, 58, 58, 59, 59, 59, 62, 65[/tex]

  2. Find the minimum and maximum:

    • Minimum: 52
    • Maximum: 65

  3. Find the median:
    Since there are 13 data points, the median is the middle number. The 7th number is:

    • Median: 58

  4. Find the first quartile (Q1):
    Q1 is the median of the first half of the data (excluding the median). The first half is [tex]52, 53, 55, 55, 56, 57[/tex]. The median of these numbers (middle average of 55 and 55) is:

    • Q1: 55

  5. Find the third quartile (Q3):
    Q3 is the median of the second half of the data (excluding the median). The second half is [tex]58, 59, 59, 59, 62, 65[/tex]. The median of these numbers (middle average of 59 and 59) is:

    • Q3: 59

Now we have our five-number summary: Minimum = 52, Q1 = 55, Median = 58, Q3 = 59, Maximum = 65.

Constructing the box plot:

  • Draw a number line that includes the range from the minimum (52) to the maximum (65).
  • Mark the positions of the minimum, Q1, median, Q3, and maximum on the line.
  • Draw a box from Q1 to Q3.
  • Inside the box, draw a line at the median.
  • Draw whiskers from the minimum to Q1 and from Q3 to the maximum.

This box plot represents the distribution of the data, showing the spread and center, and any potential skewness. A correct box plot will clearly display these five statistics.

Thanks for taking the time to read Amanda surveyed 13 students in her class about their heights in inches Her data are listed below 52 53 55 55 56 57 58 58. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer: The answer is A

Step-by-step explanation:

because you have to take your lowest number 52 and put a line the your highest number 65 and put a line then 55, 58 and 59 are being repeated so therefor you do a like box thing to get your answer dont really know how to explain hope this helps