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 height of 20 students of class 8 is 152 cm and the average height of 15 students of class 9 is 168 cm. What is the average height (to the nearest cm) of the students of both classes?
The average of 4, 6, 8, 12 and x is 7 and the average of x, 9, 13, 15 and y is 9. What is the value of 2x - 3y?
The average weight of 20 girls in a school was 52 kg. Two new students of weight 54 kg and 50 kg were admitted. The ratio of this new average to the old one is:
If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:
If the average of 5 consecutive odd integers in increasing order is 11 , then the average of the last 3 of them is:
