Question

In: Statistics and Probability

Exam 2 scores of the class are given below 80, 52, 69, 78, 34, 67, 99,...

Exam 2 scores of the class are given below

80, 52, 69, 78, 34, 67, 99, 76, 67, 56, 68, 78, 77, 79

  1. What’s the mean?
  2. What’s the median?
  3. What’s the mode?
  4. What’s the variance?
  5. What’s the standard deviation?
  6. What’s the range?
  7. If Jake took a makeup exam and got a 84.8 from this exam, what is his z score? (use the mean and the standard deviation calculated in part a and e).
  8. What does this z score tell us in terms of Jake’s standing in the class?
  9. What percentile does Jake rank in the class?

Solutions

Expert Solution

X (X - X̄)²
total sum 980 3074.00
n 14 14

mean =    ΣX/n =    980.000   /   14   =   70.00
                      
Variance =    Σ(X - X̄)²/(n)=   3074.0000   /   14 =   219.5714
                      
Std dev =   √ [ Σ(X - X̄)²/n] =   √   (3074/14)   =       14.8179

maximum =    99              
minimum=   34              
                  
range=max-min =    99   -   34   =   65

mode= highest frequency data = 67, 78

Median=0.5(n+1)th value =    7.5th
=   72.500

z score = x- mean / standard deviation

= 84.8 - 70 / 14.8179 = 0.9988

=P(Z ≤   0.9998 ) =   0.84

which tells 84% (percentile)students score below Jake

orchestra answered 3 years ago
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