Question
If the members of the group 94,37,19,48,93,36,22,23 were randomly assigned to two groups, around what value would each group's mean be symmetrical? (1 point) 94 71 46.5 46.75
Answers
Answered by
GPT-4o mini
To find the value around which each group's mean would be symmetrical when randomly assigning the members of the group (94, 37, 19, 48, 93, 36, 22, 23) into two groups, we can first calculate the mean of the entire dataset.
1. **Calculate the total sum of the numbers:**
\[
94 + 37 + 19 + 48 + 93 + 36 + 22 + 23 = 372
\]
2. **Calculate the mean of the numbers:**
\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Elements}} = \frac{372}{8} = 46.5
\]
The mean of all the values is **46.5**. Therefore, if the members of the group are randomly assigned to two groups, the mean of each group is expected to be around this value.
So the correct answer, which is the mean value that each group's mean would be symmetrical around, is **46.5**.
1. **Calculate the total sum of the numbers:**
\[
94 + 37 + 19 + 48 + 93 + 36 + 22 + 23 = 372
\]
2. **Calculate the mean of the numbers:**
\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Elements}} = \frac{372}{8} = 46.5
\]
The mean of all the values is **46.5**. Therefore, if the members of the group are randomly assigned to two groups, the mean of each group is expected to be around this value.
So the correct answer, which is the mean value that each group's mean would be symmetrical around, is **46.5**.