I am a mom trying to help my child with their math HW. But this question has us stumped. I've seen it posted before but no real explanation was offered. Please provide EXPLANATION, not just answers.

Q: Make up a list of data with the following landmarks:
Mode: 15 Min: 5 Median: 10 Max: 20
Use at least 10 numbers

(then there is a blank line across the page.)_

Q, part II: Draw a Bar Graph to represent your data. (obviously i don't expect a drawing, an explanation though would help.

Thank you!

I will not choose the numbers for you, but I hope the information below will be helpful.

Highest score will be 20 and lowest will be 5. Half of the scores will be above 10 and half below (median). The largest number of scores are 15 (mode).

Use X's to represent each of the scores on the horizontal axis. Let the number of X's for each score determine the height of the bars. For one X, the bar will be one unit high, for three X's, it will be three units high.

6+3times2

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8/$744.48=93.06

To create a list of data with given landmarks, we need to understand what each landmark represents.

1. Mode: The mode is the value(s) that appear most frequently in the data set.
2. Min: The minimum is the smallest value in the data set.
3. Median: The median is the middle value when the data is arranged in ascending order.
4. Max: The maximum is the largest value in the data set.

Here's an explanation of how to create a list of data that satisfies the given landmarks:

1. Start by determining the mode, which is 15. Since it appears most frequently, we can include it multiple times in the dataset. Let's add it three times in this example.

2. Next, set the minimum value to 5. Add a few values that are less than the mode but greater than the minimum. Based on this idea, let's add 6, 7, and 8 to the dataset.

3. Now, consider the median, which is 10. Include a few more values both above and below 10 to ensure that the dataset has an odd number of values. Let's add 9, 10 (since it is the median), and 11.

4. Finally, set the maximum value to 20. Include a few values higher than the median but less than or equal to the maximum. Let's add 18, 19, and 20 to the dataset.

So, the list of data that satisfies the given landmarks is:
5, 6, 7, 8, 9, 10, 10, 11, 15, 15, 15, 18, 19, 20.

Now, let's move on to the second part of the question – drawing a bar graph to represent this data:

To create a bar graph, we will use the values from the list of data we just created.

1. Draw a horizontal axis (x-axis) labeled with the values from the data set: 5, 6, 7, 8, 9, 10, 11, 15, 18, 19, and 20.

2. Draw a vertical axis (y-axis) labeled with the frequency or count of each value.

3. For each value on the x-axis, draw a vertical bar that represents its frequency or count. The height of the bar should correspond to the number of times the value appears in the data set.

For example, since 15 appears three times, draw a bar of height 3 above the value 15 on the x-axis.

Continue this process for the remaining values in the data set.

In the end, your bar graph should display vertical bars of varying heights for each value in the dataset, representing their frequencies.