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Use the image to answer the question.

A dot plot is titled Number of Hours Calculus Students Studied For Exams. The number line ranges from 0 to 7 in increments of 1.

Estimate the mean and median of the data in the dot plot, and then determine which of the following statements is true about the data.

(1 point)
Responses

The mean of the data set is greater than the median.
The mean of the data set is greater than the median.

The mean of the data set is equal to the median.
The mean of the data set is equal to the median.

The mean of the data set is less than the median.
The mean of the data set is less than the median.

The median is 3.5.
The median is 3.5.
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1 answer

To estimate the mean and median from the dot plot described, follow these steps:

  1. Identify the data points: Count how many students studied for each number of hours, as represented by the dots.

  2. Calculate the mean:

    • To find the mean, sum all the hours studied and divide by the total number of students.

  3. Calculate the median:

    • The median is the middle number of the dataset when sorted in order. If there is an even number of observations, the median is the average of the two middle numbers.

Since I do not have access to the image of the dot plot, you'll need to perform these calculations based on the counts of dots for each hour.

Once you have both the mean and the median:

  • If the mean is greater than the median, select the first statement.
  • If the mean equals the median, select the second statement.
  • If the mean is less than the median, select the third statement.
  • If the median is determined to be 3.5 based on your calculations, select the fourth statement.

Use the results of your calculations to make the correct choice.