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In a small town the mean number of burglaries per day during March was 2 while the mean number per day during April was 1.6. What was the mean number per day during both months? Give your answer correct to 3 s.f.​

User Lek
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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.

User Scarl
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