In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 50 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean?
Choose the most appropriate option:
A) a) 48  B) b) 67.5  C) c) 72  D) d) 77.5  E) e) 81
Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.   Here, we're told two things about a group of numbers:   1) The average of the group is 50   2) The standard deviation of the group is 10   If you go 1 SDupfrom the average, you hit.....50+10 = 60   If you go 1 SDdownfrom the average, you hit.....50-10 = 40   If you go 2 SDsupfrom the average, you hit.....50+2(10) = 70   If you go 2 SDsdownfrom the average, you hit.....50-2(10) = 30   Etc.   Here, we're asked for the number that is EXACTLY 1.75 SDs above the mean....   1.75 SDsupwould be.....50 + 1.75(10) = 67.5   b) 67.5
<result>B</result>
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 50 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean?