The solution to the query
Answer:
Kathy: $1,224,000
Mark: $306,000
Please refer to the attachment.
For the blue marbles:
16 = 8 * 2 (8 sets containing 2 marbles each)
For the white marbles:
8 = 4 * 2 (4 sets with 2 in each)
8 + 4 = 12
Answer:
The maximum number of groups that Colton can form is 12.
Set A's standard deviation exceeds that of Set B. To explain, standard deviation reflects variation within data sets. Generally, a dataset with a narrower range will exhibit a smaller standard deviation. For Set A, the range is 25-1 = 24, while for Set B, it's 18-8 = 10. Given that Set A's range is bigger, we would anticipate its standard deviation to also be larger. Standard deviation is calculated as the square root of the average of the squared deviations from the mean. In Set A, the deviations are ±12, ±11, ±10, whereas Set B's deviations are ±5, ±3, ±1. We can reasonably conclude that the value for Set A will be greater without computing the RMS difference. Thus, Set A's standard deviation is larger compared to Set B.
