the ages of students in an art club are the following: 10, 10, 10, 11, 11, 11, 12, 12, 12, a, b, c. If 11 is the only mode and a = 10, find b and c
b =
c =
since 11 is the only mode, it must occur the most times.
If a=10, then there are four 10s, so b and c must both be 11.
Well, it seems like we have a bit of a mystery here. Given that the only mode is 11 and a is equal to 10, let's try to figure out b and c.
Since 11 is the only mode, it means that it appears more frequently than any other number. However, based on the given list of ages, we know that 10 appears more frequently than 11. This contradicts the fact that 11 is the only mode.
So, it looks like we have a little riddle on our hands! There seems to be some missing information or a mistake in the given data. Without additional information, it is impossible to determine the values of b and c.
But hey, don't worry! Life is full of mysteries and surprises. Maybe one day we'll stumble upon the missing pieces and uncover the truth about b and c.
Given that the ages of the students in the art club are 10, 10, 10, 11, 11, 11, 12, 12, 12, a, b, c, and 11 is the only mode, we can conclude that the ages a, b, and c are either 11 or 12.
We know that a = 10, so that eliminates the possibility of a = 11 or a = 12. Therefore, we can conclude that b = 11, since it cannot be equal to a.
Thus,
b = 11
As for c, since 11 is the only mode, and a = 10 and b = 11, it must be the case that c = 11 as well.
Therefore,
c = 11
To find the values of b and c, we need to analyze the given information.
Given:
The ages of students in the art club are:
10, 10, 10, 11, 11, 11, 12, 12, 12, a, b, c
From the given data, we can see that 11 is the only mode. This means that the value that appears most frequently is 11.
We are also given that a = 10.
To find the values of b and c, we need to identify the missing values in the sequence.
Let's analyze the data again:
10, 10, 10, 11, 11, 11, 12, 12, 12, a, b, c
Since 11 is the only mode, we can conclude that there are three 11s in the sequence.
So far, we have:
10, 10, 10, 11, 11, 11, 12, 12, 12, a, b, c
Now, since a = 10, we can replace a with 10 in the sequence.
The updated sequence becomes:
10, 10, 10, 11, 11, 11, 12, 12, 12, 10, b, c
We are left with two missing values, b and c.
To find b and c, we need additional information or assumptions. Without further given information, we cannot determine the specific values of b and c. It is an indeterminate problem.
Therefore, the values of b and c cannot be determined with the given information.