Math Problem Statement

The box plot summarizes the test scores for the last unit test in Mr. Jefferies’ history class. Complete the statements that are supported by the data in the box plot. Choose the correct answer from each drop-down menu to complete the statements. Half of the students scored between 80% and [Select] on the test. The lowest score on the test was a [Select]. Approximately 1/4 of the test scores were between [Select] and 80%.

Solution

It seems that you've uploaded an image containing a box plot related to test scores. I will extract the necessary details from the plot to answer the questions. Let me first analyze the image and then provide answers to the statements.

Give me a moment. PIL import Image

Load the uploaded image

img_path = "/mnt/data/17407796235034577fzuf.jpg" img = Image.open(img_path) img.show()I've displayed the image, which contains a box plot summarizing the test scores. I will now analyze the plot to complete the statements you provided.

Based on the visual data, I will identify key elements like the median, lower quartile (Q1), upper quartile (Q3), and outliers. Then, I'll address the three statements.

Let me analyze the plot and provide the correct answers.Upon analyzing the box plot:

  1. Half of the students scored between 80% and __ on the test:

    • From the box plot, the median (middle line of the box) is around 80%. The upper quartile (Q3) is approximately 90%. Therefore, the answer is 90%.
    • Answer: 90%
  2. The lowest score on the test was a __:

    • The lowest score is indicated by the leftmost point on the box plot. It appears to be around 50%.
    • Answer: 50%
  3. Approximately 1/4 of the test scores were between __ and 80%:

    • The left side of the box, where Q1 is, is around 60%, and the median is 80%. Thus, approximately 1/4 of the students scored between 60% and 80%.
    • Answer: 60%

So the completed statements are:

  • Half of the students scored between 80% and 90% on the test.
  • The lowest score on the test was a 50%.
  • Approximately 1/4 of the test scores were between 60% and 80%.

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Math Problem Analysis

Mathematical Concepts

Box Plots
Quartiles
Median
Percentiles

Formulas

Median
Quartiles
Interquartile Range (IQR)

Theorems

Interpreting Box Plots
Distribution of Data

Suitable Grade Level

Grades 6-8