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Question

A dot plot is labeled 'Number of Siblings.' The horizontal axis ranges from 0 to 5 by 1-unit increments. The plot has 2 dots above 0, 7 dots above 1, 4 dots above 2, 4 dots above 3, 2 dots above 4, and 1 dot above 5.

Compare the values and calculate the median of the given data.

(1 point)
Responses

3
3

1
1

4
4

2
2
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Answer 1

To calculate the median from the given dot plot data, we first need to list out the numbers of siblings represented by the dots:

• 2 dots above 0: 0, 0
• 7 dots above 1: 1, 1, 1, 1, 1, 1, 1
• 4 dots above 2: 2, 2, 2, 2
• 4 dots above 3: 3, 3, 3, 3
• 2 dots above 4: 4, 4
• 1 dot above 5: 5

Now let's compile this into a full list:

0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5

Next, count the total number of entries:

• There are 20 entries.

To find the median, we look for the middle value(s). Since there are 20 entries (an even number), the median will be the average of the 10th and 11th values when the data is sorted.

From the sorted list:

1. The 10th value is 2.
2. The 11th value is also 2.

Now, calculate the median:

\[ \text{Median} = \frac{10th \text{ value} + 11th \text{ value}}{2} = \frac{2 + 2}{2} = 2 \]

Thus, the median of the given data is 2.