Group Variation Due to Random Assignment Quick Check 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 46.5 .71 46.75

To find a symmetrical mean when randomly assigning the members of the set \( \{94,37,19,48,93,36,22,23\} \), we first need to calculate the overall mean of the group. The total sum of the numbers is \( 94 + 37 + 19 + 48 + 93 + 36 + 22 + 23 = 372 \). Dividing this by the number of members (8), we get an overall mean of \( 372 / 8 = 46.5 \). Therefore, around this value of 46.5, we can expect each group's mean to be fairly symmetrical. The other options provided (94, .71, and 46.75) do not align with this calculated mean, making 46.5 the most reasonable answer in the context of random assignment. It's often useful to remember that for any set of numbers, the mean serves as a central point around which the values can distribute when split into groups.