High School

Determine the mean of the numbers 7, 5, 5, 2, 8, and 7. If two additional numbers, 2 and [tex]x[/tex], reduce the mean by 1, find [tex]x[/tex].

Answer :

The value of x for the numbers is,

⇒ x = 1.36

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The numbers are,

⇒ 7, 5, 5, 2, 8 and 7

Now, The mean of the numbers is,

⇒ (7 + 5 + 5 + 2 + 8 + 7) / 6

⇒ 34/6

⇒ 5.67

Here, Two additional numbers 2 and x, reduce the mean by 1.

We get;

⇒ (34 + 2 + x) / 8 = 5.67 - 1

⇒ (36 + x) / 8 = 4.67

⇒ 36 + x = 4.67 × 8

⇒ 36 + x = 37.36

⇒ x = 37.36 - 36

⇒ x = 1.36

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(7 + 5 + 5 + 2 + 8 + 7) / 6 = 34/6 = 5.67

(34 + 2 + x) / 8 = 5.67 - 1
(36 + x) / 8 = 4.67
36 + x = 4.67 * 8
36 + x = 37.36
x = 37.36 - 36
x = 1.36