Final answer:
The mean number of burglaries per day for both March and April combined is calculated as the total number of burglaries in both months divided by the total number of days in both months. This results in a combined mean of approximately 1.80 burglaries per day when rounded to three significant figures.
Step-by-step explanation:
To calculate the mean number of burglaries per day for both March and April, we need to take into account the number of days in each month. March typically has 31 days, and April has 30 days. Using the given means:
- Mean for March = 2 burglaries per day
- Mean for April = 1.6 burglaries per day
The total number of burglaries in March is the mean times the number of days:
March total = 2 burglaries/day * 31 days = 62 burglaries
April total = 1.6 burglaries/day * 30 days = 48 burglaries
The combined total for both months is:
Total burglaries = 62 (March) + 48 (April) = 110 burglaries
The combined number of days in both months is:
Total days = 31 (March) + 30 (April) = 61 days
To find the combined mean:
Combined mean = Total burglaries / Total days
Combined mean = 110 burglaries / 61 days ≈ 1.803 burglaries/day
Therefore, the mean number of burglaries per day during both March and April, to three significant figures, is approximately 1.80.