Stats Question - Mean

[aridnepenthe]

A sample of n = 6 scores has a mean of M = 10. One new score is added to the sample and the new mean is computed to be M = 11. What is the value of the score that was added to the sample?

 

[tkhunny]

hint: \(\displaystyle \frac{Total\;of\;6\;Scores}{6}\;=\;10\)

 

[simonlai90]

denote total score = t

t/6 = 10
therefore, t = 60
when one new score is added,
t[sub:2eqbj3p0]new[/sub:2eqbj3p0]/7 = 11
t[sub:2eqbj3p0]new[/sub:2eqbj3p0] = 77
t[sub:2eqbj3p0]new[/sub:2eqbj3p0] - t = 77 - 60 = 17

So, the value of the score that was added to the sample is 17.