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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

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1

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Answer 1

To calculate the median of the given data represented in the dot plot, we first need to list the number of siblings based on the dots provided.

The representation is as follows:

• 0 siblings: 2 dots (2 occurrences of 0)
• 1 sibling: 7 dots (7 occurrences of 1)
• 2 siblings: 4 dots (4 occurrences of 2)
• 3 siblings: 4 dots (4 occurrences of 3)
• 4 siblings: 2 dots (2 occurrences of 4)
• 5 siblings: 1 dot (1 occurrence of 5)

Now, let's compile the data points:

• Two 0's: 0, 0
• Seven 1's: 1, 1, 1, 1, 1, 1, 1
• Four 2's: 2, 2, 2, 2
• Four 3's: 3, 3, 3, 3
• Two 4's: 4, 4
• One 5: 5

Now aggregating them all, we have: 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5

Next, let's count the total number of data points:

• There are 20 data points in total.

To find the median, we look for the middle values. Since there are an even number of data points (20), the median will be the average of the 10th and 11th values in the sorted list.

Counting the values:

1. 0, 0 → 1st and 2nd
2. 1, 1, 1, 1, 1, 1, 1 → 3rd to 9th
3. 2, 2, 2, 2 → 10th to 13th
4. 3, 3, 3, 3 → 14th to 17th
5. 4, 4 → 18th and 19th
6. 5 → 20th

The 10th value is 2 and the 11th value is also 2.

Now, we take the average of these two values: Median = (2 + 2) / 2 = 2.

Therefore, the median of the given data is 2.