Answer:
Explanation:
1. Sherelle's reasons for saying that the 1916 coin is most likely in her bag:
She might argue that she is older than Venita and therefore more likely to have inherited the coin from their grandmother.
She might claim that she has a special connection to their grandmother and was entrusted with the coin as a keepsake.
Sherelle might suggest that she has been collecting coins for a longer time than Venita and is more likely to have come across the 1916 coin in her collection.
Venita's reasons for saying that the 1916 coin is most likely in her bag:
She might argue that she has a strong interest in history and specifically coins, making her more likely to have acquired the 1916 coin through her own efforts.
Venita might claim that she has been studying and researching coins extensively, including the history and value of different years, making her more aware of the significance of the 1916 coin.
She might suggest that she recently found the 1916 coin at a coin shop or auction and specifically placed it in her bag for safekeeping.
Considering the information provided, it is difficult to determine with certainty whose bag is more likely to contain the 1916 coin. Both Sherelle and Venita present valid arguments based on their personal circumstances and interests. Without additional information, it is impossible to make an accurate judgment. It would be helpful to investigate further or ask their grandmother directly to determine the true location of the 1916 coin.
2. To find the five-number summary and construct the box-and-whisker plots for each data set, we need to arrange the numbers in ascending order.
Sherelle's data set: 26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85
Venita's data set: 44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Now we can find the five-number summary for each data set:
Sherelle's data set:
Minimum: 26
First quartile (Q1): 58
Median (Q2): 68
Third quartile (Q3): 75
Maximum: 85
Venita's data set:
Minimum: 44
First quartile (Q1): 53
Median (Q2): 65
Third quartile (Q3): 73
Maximum: 79
Sherelle might give the following reasons for saying that the 1916 coin is most likely in her bag:
Higher frequency of older coins: If Sherelle's bag has a higher proportion of older coins in general, it increases the likelihood of finding a coin from 1916. She could argue that her bag contains more coins from earlier years, making it more probable to have a coin from 1916.
Coin distribution pattern: If Sherelle's bag follows a pattern where the older coins tend to be grouped together, she may believe that the 1916 coin is more likely to be in her bag. She might argue that her bag contains a cluster of coins from the early 1900s, increasing the chance of having the specific 1916 coin.
On the other hand, Venita might give the following reasons for saying that the 1916 coin is most likely in her bag:
Higher randomness in coin selection: If Venita's bag has a more diverse mix of coins from various years, she could argue that the chances of having the 1916 coin are higher. She might claim that her bag includes a wider range of years, making it more likely to contain the specific coin from 1916.
Equal probability: Venita might believe that since the coin is equally likely to be in either bag, the probability is 50/50. She may argue that there is no reason to assume the 1916 coin is more likely to be in Sherelle's bag.
Considering the information provided, it is difficult to determine which bag is more likely to contain the 1916 coin. Without additional information about the distribution or characteristics of the coins in each bag, it would be purely speculative to make a definitive conclusion. Both Sherelle and Venita have their own reasons, but ultimately, it is a matter of chance unless further information is available.