Answer:
70.06
Mean score = 70
Step-by-step explanation:
16% of students scored higher than 80 on a recent normally distributed exam the standard deviation is 10 what is the mean
For a normal distribution :
Zscore = (x - mean) / standard deviation
x = score
P(Z > 80) = 16% = 0.16 ; corresponding Zscore = 0.994 (Z probability calculator)
Therefore ;
0.994 = (80 - mean) / 10
0.994 * 10 = 80 - mean
9.94 = 80 - mean
Mean = 80 - 9.94
Mean = 70.06
Hence, the mean score = 70.06 = 70
Basically what tou have to do in order to find this answer, is to find the rule. The rule in this partiular problem is 1.236 because 3.236-2=1.236. So since the rule is 1.236, all you have to do is 1.236 to 3.236 which is 2.472.
I dare this to be a most liked comment!
Answer:
Step-by-step explanation:
Now, this can be tricky.
<u>But, we can use a calculator.</u>
<u>According to the calculator, the answer was 0.7071.</u>
That means 0.7071 is the answer.
This image is optional. Use it for hints.