Question

Среднее арифметическое некоторых 7 чисел чисел равно 82. К этим числам приписали еще 9,среднее арифметическое которых равно 66. Чему равно среднее арифметическое всех 16 чисел?

Answer 1

Решение:
Средне-арифметическое число равно сумме всех чисел делённых на число слагаемых, отсюда:
если средне-арифметическое число 7-ми чисел равно 82, то их сумма составляет:
7*82=574
а сумма 9-ти чисел равна:
66*9=594
Сложим эти числа: 574+594=1168-это сумма 16-ти чисел
Средне-арифметическое 16-ти чисел равно:
1168 : 16=73

Answer 2

Problem Analysis

We are given two sets of numbers. The first set consists of 7 numbers with an average of 82, and the second set consists of 9 numbers with an average of 66. We need to find the average of all 16 numbers.

Solution

To find the average of all 16 numbers, we need to calculate the sum of all the numbers and divide it by 16.

Let's start by finding the sum of the first set of numbers. We know that the average of these 7 numbers is 82. Therefore, the sum of these numbers is 7 multiplied by 82.

Next, let's find the sum of the second set of numbers. We know that the average of these 9 numbers is 66. Therefore, the sum of these numbers is 9 multiplied by 66.

Now, we can find the sum of all 16 numbers by adding the sums of the two sets of numbers.

Finally, to find the average of all 16 numbers, we divide the sum of all the numbers by 16.

Let's calculate the average of all 16 numbers step by step:

1. Sum of the first set of numbers: 7 * 82 = 574 2. Sum of the second set of numbers: 9 * 66 = 594 3. Sum of all 16 numbers: 574 + 594 = 1168 4. Average of all 16 numbers: 1168 / 16 = 73

Therefore, the average of all 16 numbers is 73.

Answer

The average of all 16 numbers is 73.