To find the mean and median number of seats per table from the dot plot, we need to analyze the plotted closed circles over the number line ranging from 5 to 10.
Since I don't have access to the actual image you mentioned, I'll outline the steps to calculate the mean and median:
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List the Numbers: If the closed circles represent the number of seats, list out all the values corresponding to the closed circles. For example, if the dots are plotted as follows:
- 5 (2 dots),
- 6 (3 dots),
- 7 (1 dot),
- 8 (2 dots),
- 9 (1 dot),
- 10 (1 dot),
the list of numbers would be:
- 5, 5, 6, 6, 6, 7, 8, 8, 9, 10.
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Calculate the Mean:
- Sum all values.
- Divide by the total number of values.
- Mean = (5 + 5 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10) / 10
- Total = 70, Mean = 70 / 10 = 7.
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Calculate the Median:
- Arrange the list in ascending order.
- Find the middle value.
- If there is an even number of observations, the median is the average of the two middle numbers.
- Here the ordered dataset is: 5, 5, 6, 6, 6, 7, 8, 8, 9, 10.
- There are 10 numbers (even), so the median will be the average of the 5th and 6th values: (6 + 7) / 2 = 6.5.
If we round to the nearest whole number:
- Mean: 7
- Median: 7
From this, you can see they are the same. However, if the dataset is skewed, the values would need to reflect that so that the mean and median differ. Typically, in a skewed dataset, if the skew is to the right, the mean will be greater than the median.
Replace the example calculations with the actual values from the dot plot you have, and you'll get the correct mean and median for your specific case.