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)
Responses

71
71

94
94

46.5
46.5

46.75

Answer 1

To determine what value each group's mean would be around if the members of the group {94, 37, 19, 48, 93, 36, 22, 23} were randomly assigned to two groups, we first need to calculate the mean of the entire set.

1. **Calculate the sum of the numbers:**
\[
94 + 37 + 19 + 48 + 93 + 36 + 22 + 23 = 372
\]

2. **Count the number of elements in the set:**
There are 8 elements.

3. **Calculate the mean of the entire set:**
\[
\text{Mean} = \frac{\text{Sum}}{\text{Number of elements}} = \frac{372}{8} = 46.5
\]

The mean of the entire group is 46.5. If the members are randomly assigned to two groups, the means of the two groups would likely be around this value. Therefore, the symmetrical mean for the two groups would be **46.5**.

So the correct response is:
**46.5**