Math 138 Quiz 1 (1) The ollowing is part of a data set collected from several lo

Question

Math 138 Quiz 1 (1) The ollowing is part of a data set collected from several local schools: Semester Grade Honor Roll School TypePoint Average Age of Student Gender Public Public Private Public 2.72 3.35 3.81 2.05 0 15 Male 17 Female 16 Female 16 Male 0 The coding scheme below was used for Honor Roll entries: Om Not on Honor Roll 1= Regular Honors 2= Middle Honors 3-High Honors For (e-(c) state the type of variable (Categorical, Quantitative or Ordinal): (a) Age of Student (b) Gender (c) Grade Point Average (d) Honor Roll (e) How many variables are in the table? () How many cases are there?

Explanation / Answer

Question 2.
a) Median
In order to calculate the median arrange the numbers in ascending order i.e. 1, 2, 3, 3, 4
Here the 3rd number represents the median

Hence median = 3

b) Mean = sum / n
Mean = 13/5 = 2.6

c) Range = Max - min
Max = 4, Min = 1
Range = 4 - 1 = 3

d)
xbar = mean = 2.6

Variance = sum(xi -xbar)^2/n = 5.2/5 = 1.04

e)

std.dev. = sqrt(var) = sqrt(1.04) = 1.0198

x (x-xbar)^2 2 0.36 3 0.16 1 2.56 4 1.96 3 0.16

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