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.

Question

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 median is 3.5.
The median is 3.5.

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.

Answer 1

To determine the mean and median of the hours studied based on the dot plot, you'll need to analyze the data represented on the plot.

1. Estimate the Median:

   • Find the middle value when the data points are arranged in order.
   • If there are an odd number of data points, the median is the middle value.
   • If there are an even number of data points, the median is the average of the two middle values.

2. Estimate the Mean:

   • To find the mean, you sum all the values and then divide by the number of data points.

Without the visual of the dot plot, I can only guide you through the process. Assuming you have the dot plot:

• Count how many dots there are for each hour (0 to 7).
• List the data points based on those counts.
• Determine the median and mean.

Based on your findings (missing the actual counts from the dot plot), if you need to decide which statement is true:

1. If the mean is greater than the median, the first statement is true.
2. If the median is found to be 3.5, the second statement is true.
3. If the mean equals the median, the third statement is true.
4. If the mean is less than the median, the fourth statement is true.

Once you've calculated or estimated both the mean and the median, choose the corresponding statement that matches your result.

Answer 2

give me an answer

Answer 3

To provide you with a specific answer, I would need to know the exact data represented in the dot plot. However, I can guide you through a general answer based on typical scenarios with data in dot plots.

Let’s analyze the four statements based on common outcomes in data sets:

1. The mean of the data set is greater than the median.
2. The median is 3.5.
3. The mean of the data set is equal to the median.
4. The mean of the data set is less than the median.

General Guidelines:

• If the data is skewed to the right (with some high values), the mean is often greater than the median.
• If the data is skewed to the left (with some low values), the mean is typically less than the median.
• When data is symmetric, the mean and median are usually close or equal to each other.

What you should do:

1. Collect the frequency of each hour studied from the dot plot.
2. Calculate the median and mean based on that frequency.
3. Compare the results to the statements provided.

Example Case:

• If you look at the dot plot and find that there are several students who studied around 0-2 hours, with a few students studying 6-7 hours, this might make the mean higher than the median.

Depending on your actual findings, you would choose the statement that represents your calculations.

If you provide the number of hours each student has studied (based on the dot plot), I can help you determine which statement is true!

Answer 4

0-0dots, 1-7dots, 2-7dots, 3-2dots, 4-1dot, 5-2dots, 6-2dots, 7-0dots

Answer 5

Thank you for providing the data from the dot plot. Here's the breakdown of the data:

• 0 hours: 0 dots
• 1 hour: 7 dots
• 2 hours: 7 dots
• 3 hours: 2 dots
• 4 hours: 1 dot
• 5 hours: 2 dots
• 6 hours: 2 dots
• 7 hours: 0 dots

Step 1: Construct the Data Set

From the counts, we can construct the data set as follows:

• 0: 0 times
• 1: 7 times → 1, 1, 1, 1, 1, 1, 1
• 2: 7 times → 2, 2, 2, 2, 2, 2, 2
• 3: 2 times → 3, 3
• 4: 1 time → 4
• 5: 2 times → 5, 5
• 6: 2 times → 6, 6
• 7: 0 times

Complete Data Set:

This results in the complete data set: 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6

Step 2: Calculate the Median

To find the median:

• There are 20 data points in total.

To find the median, we take the average of the two middle numbers (the 10th and 11th numbers in sorted order):

• Sorting the data gives us: 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6
• The 10th and 11th numbers are both 2.

Therefore, the median is 2.

Step 3: Calculate the Mean

To find the mean:

• Sum of the data points:

  • \( (17) + (27) + (32) + (41) + (52) + (62) \)
  • \( = 7 + 14 + 6 + 4 + 10 + 12 \)
  • \( = 53 \)

• Number of data points: \( 20 \)

• Mean \( = \frac{\text{Total}}{\text{Number of points}} = \frac{53}{20} = 2.65 \)

Summary:

• Mean: 2.65
• Median: 2

Final Statement Assessment

Now we can evaluate the statements:

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

   • False (2.65 > 2) - True

2. The median is 3.5.

   • False

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

   • False

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

   • False

The correct answer is:

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