Average Temperature Calculation: Mon-Fri to Mon-Sat
We need to determine the new average temperature for the city covering Monday through Saturday. We are given the average temperature from Monday to Friday and the specific temperature for Saturday.
Total Temperature for Monday to Friday
First, calculate the sum of the temperatures from Monday to Friday. The average temperature for these 5 days is $40^{\circ}\text{ C}$.
Formula: Total Temperature = Average Temperature $\times$ Number of Days
Total Temperature (Mon-Fri) = $40^{\circ}\text{ C} \times 5$
Total Temperature (Mon-Fri) = $200^{\circ}\text{ C}$
Total Temperature Including Saturday
Next, add Saturday's temperature to the cumulative temperature from Monday to Friday to get the total temperature for the entire week (Monday to Saturday).
Saturday's Temperature = $45^{\circ}\text{ C}$
Total Temperature (Mon-Sat) = Total Temperature (Mon-Fri) + Temperature (Saturday)
Total Temperature (Mon-Sat) = $200^{\circ}\text{ C} + 45^{\circ}\text{ C}$
Total Temperature (Mon-Sat) = $245^{\circ}\text{ C}$
Calculating the Final Average Temperature
Finally, calculate the average temperature from Monday to Saturday. This is done by dividing the total temperature for the 6 days by the number of days (6).
Number of Days (Mon-Sat) = 6
Formula: Average Temperature = $\frac{\text{Total Temperature}}{\text{Number of Days}}$
Average Temperature (Mon-Sat) = $\frac{245^{\circ}\text{ C}}{6}$
Average Temperature (Mon-Sat)} $\approx 40.83^{\circ}\text{ C}$
The average temperature from Monday to Saturday is approximately $40.83^{\circ}\text{ C}$.
Similar Questions
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Important Questions from Average
The average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14 th number is excluded, then what is the average of remaining numbers? (correct to one decimal places)
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Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6 th number. If their average is 136, then the 6 th number is:
The average of five numbers is 30. If one number is excluded, then average becomes 31. What is the excluded number?
The average weight of 49 students in a class is 39 kg. Seven of them whose average weight is 40 kg leave the class and other seven students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?
