Dylan is going fishing. The lengths, in centimeters, of nine earthworms are shown below. He just caught a tenth earthworm that is 9.5 centimeters long. What is the median of the data once the tenth earthworm is included in the data set?
3, 4, 5, 5, 6, 7, 8, 9, 10
First, we need to add the tenth earthworm (9.5) to the data set:
3, 4, 5, 5, 6, 7, 8, 9, 9.5, 10
Now we can find the median. The median is the middle value when the data is in numerical order. First, we need to put the data in order:
3, 4, 5, 5, 6, 7, 8, 9, 9.5, 10
The middle value is the average of the two middle numbers when there is an even number of values. In this case, there are 10 values, so the middle numbers are 5 and 6. The average of 5 and 6 is:
(5 + 6) / 2 = 5.5
Therefore, the median of the data set including the tenth earthworm is 5.5 centimeters.
Claire wrote down the number of centimeters that each plant in her science experiment grew last week as shown. Which dot plot could Claire use to show the data?
3, 3, 1, 4, 6, 3, 2, 2, 5, 6, 3, 4, 5, 0, 3, 5, 1, 2, 4, 4, 4
One way to create a dot plot is to list the values in order and place a dot above each value on a number line. Here are the values in order:
0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6
Here are two possible dot plots for this data:
Option 1:
```
6 o
5 o o o
4 o o o o
3 o o o o
2 o o
1 o o
0 o
0 1 2 3 4 5 6
```
Option 2:
```
6
5 o o o
4 o o o o
3 o o o o o o
2 o o o
1 o o
0 o
0 1 2 3 4 5 6
```
Both dot plots show the same information, but they differ in how the dots are arranged. Option 1 has dots spread out more evenly, while Option 2 has clusters of dots where there are more values. Either option could be considered correct, as long as it accurately represents the data.
72, 80, 74, 68, 65, 66, 72, 70, 68, 80, 74
Sara's recent golf scores are shown.
From the data shown what is the median of her scores?
First, we need to put the scores in order:
65, 66, 68, 68, 70, 72, 72, 74, 74, 80, 80
There are 11 scores, so the median is the sixth value (since there is an odd number of scores). The sixth value is 72. Therefore, the median of Sara's golf scores is 72.
According to the chart, how many households have at least three cars? Responses A 8282 B 82,00082,000 C 74,00074,000 D 303,000303,000 E 7474
We cannot answer the question as the chart mentioned in the question is not provided.
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Question
According to the chart, how many households have at least three cars?
Responses
A 8282
B 82,00082,000
C 74,00074,000
D 303,000303,000
E 7474
Unfortunately, we cannot answer this question as the chart is not provided. Please provide the chart or additional information if available.
To find the median of a data set, you need to arrange the values in ascending order and then find the middle value.
Here are the lengths of the earthworms in ascending order:
3, 4, 5, 5, 6, 7, 8, 9, 10, 9.5
To find the middle value, we count from the beginning and end of the data set until we reach the center. In this case, since we have 10 values, the middle position is the 5th and 6th values.
The 5th value is 6, and the 6th value is 7.
Therefore, the median of the data set, once the tenth earthworm is included, is the average of 6 and 7, which is (6 + 7)/2 = 6.5 centimeters.