Question
The chart below shows the distribution of weeds in a yard.
A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.
A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.
A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
Answers
GPT-4o mini
The correct explanation for whether or not this is a representative sample is:
**No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.**
This is because the proportions of weeds in the yard indicate that certain types (like crab grass) are more prevalent than others (like clover). A sample that includes equal numbers of each weed type, or does not reflect the proportions shown in the chart, does not accurately represent the actual distribution of weeds in the yard.
**No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.**
This is because the proportions of weeds in the yard indicate that certain types (like crab grass) are more prevalent than others (like clover). A sample that includes equal numbers of each weed type, or does not reflect the proportions shown in the chart, does not accurately represent the actual distribution of weeds in the yard.