Math Problem Statement

Draw a dot plot based on the data given, and state the number of questions answered correctly by most of the students.

Solution

From the image, the problem asks to create a dot plot (a visual representation of the data) and determine the mode (the number most frequently answered correctly). Here’s the detailed explanation:

Data:

The number of questions answered correctly by 20 students is:

  • 5, 6, 4, 5, 7, 8, 5, 6, 4, 6, 9, 5, 6, 5, 6, 6, 8, 7, 6, 5.

Solution:

(i) Dot Plot

To create a dot plot:

  1. Organize the data by value:

    • 4: 2 times
    • 5: 6 times
    • 6: 7 times
    • 7: 2 times
    • 8: 2 times
    • 9: 1 time.
  2. Draw the x-axis representing the number of questions (4, 5, 6, 7, 8, 9).

  3. Plot dots above each number to represent the frequency of each value.

The dot plot looks like this:

4: ●●
5: ●●●●●●
6: ●●●●●●●
7: ●●
8: ●●
9: ●

(ii) Mode

The mode is the number that occurs the most frequently. Here, 6 is the mode because it appears 7 times, more than any other number.


Final Answers:

(i) Refer to the dot plot representation above.
(ii) The number of questions answered correctly by most of the students is 6.


Would you like me to help create the dot plot visually or explain it further? Let me know!


Related Questions:

  1. What is the median value of the data?
  2. Can you calculate the mean of the data set?
  3. What is the range of the data?
  4. How would the dot plot change if one more student answered 6 questions correctly?
  5. What other graphs could represent this data effectively?

Tip:

When creating dot plots, ensure your dots are evenly spaced and directly aligned with their respective values on the axis.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Data Representation
Dot Plot
Mode

Formulas

-

Theorems

-

Suitable Grade Level

Grades 5-7