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Question
Math
Posted 10 months ago

Leo owns a hostel and counted the number of guests staying in each room. He then created both a histogram and a dot plot to display the same data:
1. Which display can be used to find the maximum number of guests in a room?

Choose 1 answer:
(A) The histogram
(B) The dot plot
2. Which display makes it clear that there were no rooms with 1 guest?

Choose 1 answer:
(A) The histogram
(B) The dot plot
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Answer from Sia
Posted 10 months ago
Solution by Steps
step 2
The dot plot shows each room as a separate dot, making it easy to identify the room with the maximum number of guests
step 3
The histogram groups the number of guests into intervals, which makes it difficult to determine the exact maximum number of guests in a single room
[question 1] Answer
B
Key Concept
Identifying maximum values in data displays
Explanation
A dot plot displays individual data points, making it easier to identify the exact value of the maximum number of guests in a room.
step 1
To determine if there were no rooms with 1 guest, we need to look for an absence of data points or bars corresponding to 1 guest
step 2
The histogram shows the frequency of guests in intervals, and if there is no bar for the interval including 1, it indicates no rooms had 1 guest
step 3
The dot plot shows each room as a separate dot, and if there is no dot at the position corresponding to 1 guest, it indicates no rooms had 1 guest
[question 2] Answer
B
Key Concept
Identifying specific data points in displays
Explanation
A dot plot clearly shows the presence or absence of data points for each value, making it clear whether there were rooms with a specific number of guests, such as 1 guest.

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