3 students brought collection of cards the mode is 125 the range is 26 what are two possibilities for the number of cards in each stuudent collection
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Since the mode is 125, at least two of them must have brought exactly that many. The third student must have brought 26 more or less than that, because the range is 26. The two possibilities are:
125, 125, and 99, and 125, 125 and 151.
To find the two possibilities for the number of cards in each student's collection, we need to consider the mode and the range given.
The mode is the value that appears most frequently in a dataset, while the range is the difference between the highest and lowest values in a dataset.
Let's assume the number of cards in each student's collection are represented by 'A', 'B', and 'C'.
Given that the mode is 125, it means that at least two students have a collection of 125 cards. However, it doesn't give us any information about the number of cards the third student has.
Now, let's consider the range. The range is 26, which means the difference between the largest and smallest number of cards in the dataset is 26.
To find the two possibilities, we need to consider two scenarios:
1. The third student has the highest number of cards in their collection.
In this case, the range would be the difference between 'A' and 'C'. So, we have:
C - A = 26
Since we don't have any specific values, there are multiple possibilities that satisfy this equation. For example:
If 'A' = 99, then 'C' = 125 + 26 = 151.
2. The third student has the lowest number of cards in their collection.
In this case, the range would be the difference between 'B' and 'C'. So, we have:
B - C = 26
Similar to the previous scenario, there are multiple possibilities. For example:
If 'B' = 151, then 'C' = 125 - 26 = 99.
Therefore, two possibilities for the number of cards in each student's collection are:
1. Scenario 1:
Student 1: 99 cards
Student 2: 125 cards
Student 3: 151 cards
2. Scenario 2:
Student 1: 125 cards
Student 2: 151 cards
Student 3: 99 cards