The low temperature for 6 consecutive days in a city were 9, 3, 4, 16, 11 and 5. What would the low temperature have to be on the seventh day to have a mean low temperature of 6 for the week? The answer is -6. How do you get that answer?
Wrong
To find the low temperature on the seventh day, we need to calculate the sum of the temperatures for the entire week and subtract the sum of the temperatures for the first six days.
The sum of the temperatures for the first six days is 9 + 3 + 4 + 16 + 11 + 5 = 48.
To have a mean low temperature of 6 for the week, the sum of the temperatures for the entire week should be 6 multiplied by 7 (the number of days in a week), which is 42.
Therefore, the temperature on the seventh day would be 42 - 48 = -6. Hence, the low temperature on the seventh day needs to be -6 to have a mean low temperature of 6 for the week.
To find the low temperature on the seventh day that would result in a mean low temperature of 6 for the week, we can follow these steps:
1. Add up the low temperatures for the first six days: 9 + 3 + 4 + 16 + 11 + 5 = 48.
2. To find the total low temperature for the week, multiply the mean temperature (6) by the number of days (7): 6 * 7 = 42.
3. Subtract the sum of the low temperatures for the first six days (48) from the total low temperature for the week (42) to find the low temperature for the seventh day: 42 - 48 = -6.
Therefore, the low temperature would have to be -6 on the seventh day to have a mean low temperature of 6 for the week.
You get that answer (X) by solving
mean = (9 + 3 + 4 + 16 + 11 + 5 + X)/7 = 6
(48 +X)/7 = 6
48 + X = 42