To address the exit ticket questions based on the box plot data on the number of pets per family, we'll analyze the questions step by step:
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Can you tell how many families have two pets? Explain why or why not.
- Answer: No, we cannot tell how many families specifically have two pets just from the box plot. Box plots display the distribution of data in terms of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. They do not provide the exact counts of how many families fall into each category. Therefore, we can see where the value of 2 pets falls in relation to the quartiles and the median, but we cannot determine the exact number of families with that specific count.
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Given the box plot above, which of the following statements are true? If the statement is false, modify it to make the statement true.
a. Every family has at least one pet.
- True/False: The statement can be considered true if the minimum value in the box plot is 1 or greater. However, if the minimum is 0, then the statement is false. We would need the box plot to confirm; if it is true, it remains as is.
b. About one-fourth of the families have six or more pets.
- True/False: This statement would be false if we assume that the median or Q3 is below 6. To correct it, if the third quartile (Q3) is 5, the modified statement could be: "About one-fourth of the families have five or more pets."
c. Most of the families have three pets.
- True/False: This statement is likely false. If the median and Q1 are below 3, we might clarify it by saying: "Most of the families have two or three pets," depending on the distribution shown in the box plot.
d. About half of the families have two or fewer pets.
- True/False: This statement depends on the median. If the median is 2 or below, the statement is true. If the median is above 2, the statement is false and could be modified to: "About half of the families have three or fewer pets."
e. About three-fourths of the families have two or more pets.
- True/False: This statement could be false if Q1 is at or below 2, indicating that a significant portion of families have fewer. It could be modified to: "About three-fourths of the families have one or more pets," if the first quartile (Q1) is at 1 or below.
To summarize, to accurately answer these questions based on the box plot, observe the specific quartile values and median from the box plot. For accurate determinations, every modification relies on the box plot's displayed values.