Question

During the month of August, the mean of the daily rainfall in one city was 0.04 inches with a standard deviation of 0.15 inches. In another city, the mean of the daily rainfall was 0.01 inches with a standard deviation of 0.05 inches. Han says that both cities had a similar pattern of precipitation in the month of August. Do you agree with Han? Explain your reasoning

Answer 1

To determine if the pattern of precipitation in the two cities was similar in the month of August, we need to compare the mean and standard deviation of the daily rainfall in both cities. City A had a higher mean and standard deviation compared to City B, suggesting that City A experienced higher levels of rainfall on average and had more variability in daily rainfall compared to City B.

Step-by-step explanation:

To determine if the pattern of precipitation in the two cities was similar in the month of August, we need to compare the mean and standard deviation of the daily rainfall in both cities. In City A, the mean was 0.04 inches with a standard deviation of 0.15 inches. In City B, the mean was 0.01 inches with a standard deviation of 0.05 inches.

Based on these values, we can see that City A had a higher mean and standard deviation compared to City B. This suggests that City A experienced higher levels of rainfall on average and had more variability in daily rainfall compared to City B.

Therefore, we do not agree with Han's statement that both cities had a similar pattern of precipitation in the month of August.

Answer 2

Yes, Han is correct.

Step-by-step explanation:

Yes, Han is correct. Both cities had very little rain on a daily basis.

Although one city had more rain than the other, this pattern of most days being dry and a few days being wet is the same in both cities.

Because both cities have large standard deviation(compare to the mean), it means that the rain came all at once or possibly just on a few days.