Basic Computation: z Score and Raw Score A normal distribution has μ = 30 and σ = 5. ( a ) Find the z score corresponding to x = 25 . ( b ) Find the z score corresponding to x = 42. ( c ) Find the raw score corresponding to z = − 2. ( d ) Find the raw score corresponding to z = – 1.3.
Basic Computation: z Score and Raw Score A normal distribution has μ = 30 and σ = 5. ( a ) Find the z score corresponding to x = 25 . ( b ) Find the z score corresponding to x = 42. ( c ) Find the raw score corresponding to z = − 2. ( d ) Find the raw score corresponding to z = – 1.3.
Solution Summary: The author analyzes the z score for normal distribution with mu =30,sigma =5.
Basic Computation: z Score and Raw Score A normal distribution has
μ
=
30
and
σ
=
5.
(
a
)
Find the
z
score corresponding to
x
=
25
.
(
b
)
Find the
z
score corresponding to
x
=
42.
(
c
)
Find the raw score corresponding to
z
=
−
2.
(
d
)
Find the raw score corresponding to
z
=
–
1.3.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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