2. A data set consists of a set of numerical values. Which, if any, of the following statements could be correct?
a. There is no mode. (True or False)
b. There are two modes. (True or False)
c. There are three modes. (True or False)
I'll be glad to check your answer.
To determine which, if any, of the statements about the data set are correct, we need to understand what a mode is and how to identify it in a data set.
The mode refers to the value(s) that occur most frequently in a data set. To find the mode(s), you need to count the frequency of each value and identify the value(s) with the highest frequency.
Now, let's consider each statement:
a. There is no mode. (True or False)
If none of the values repeat in the data set, then there is no mode, and this statement would be true. However, without knowing the specific data set, we cannot determine the validity of this statement.
b. There are two modes. (True or False)
For there to be two modes, there must be at least two different values in the data set that occur with the highest frequency. To confirm this statement, we need to check if there are two distinct values that occur most frequently. Without the specific data set, we cannot determine the validity of this statement.
c. There are three modes. (True or False)
Similar to statement (b), for there to be three modes, there must be at least three different values in the data set that occur with the highest frequency. Without the specific data set, we cannot determine the validity of this statement.
In conclusion, without knowing the specific data set, we cannot determine the correctness of statements (a), (b), or (c). To find the mode(s) and answer these statements accurately, we need access to the numerical values in the data set.