In the list of five measurements shown below, one is blurred. What must this value be, if the mean of the five measurements is 7?
8 5 10 3 #
The blurred out number is 9.
How I got the answer:
8+5+10+3= 26
Since there were 5 sets of numbers I did 35-26 (because 7 times 5 is 35) which is 9. So when you add them up, it would be :
8+5+10+3+9= 35
35/5 = 7
Therefore, the answer is 9.
Hope this helps!
To find the missing value in the list, we can use the fact that the mean of the five measurements is 7.
The mean (average) of a set of numbers is equal to the sum of all the numbers divided by the count of the numbers. So, in this case, we can set up the equation:
(8 + 5 + 10 + 3 + x) / 5 = 7
First, we calculate the sum of the four given measurements:
8 + 5 + 10 + 3 = 26
Next, we substitute the sum into the equation:
(26 + x) / 5 = 7
To solve for x, we can isolate it by multiplying both sides of the equation by 5:
26 + x = 35
Finally, we can solve for x by subtracting 26 from both sides:
x = 35 - 26 = 9
Therefore, the blurred measurement must be 9 in order to have a mean of 7 for the five measurements.