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Adv Al 2 Stats

Total questions: 20

Worksheet time: 51mins

Name
Class
Date
1.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

2.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

3.

Find the mean

Z-score = -0.4

Standard Deviation: 7

x = 20

a)

22.8

b)

17.2

c)

22.04

d)

32.5

4.

Find the value of x.

Z-score = -2.2

mean = 25

Standard Deviation: 7

a)

9.6

b)

-36

c)

5.2

d)

23.46

5.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
6.
What is the first step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
d)
a2+b2=c2
7.
Determine the mean absolute deviation of the data. 9, 7, 11, 10, and 8
a)
9
b)
6
c)
1.2
d)
5
8.
What is the second step when calculating the Mean Absolute Deviation?
a)
Find the difference between each value and the mean
b)
Find the mean of the distances
c)
Find the mean of the data
9.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
10.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
11.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
12.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
13.
This data is normally distributed.  What percentage of the data is in the shaded region?
a)
68%
b)
34%
c)
17%
d)
50%
14.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
15.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last 6 days or less?
a)
68%
b)
34%
c)
16%
d)
2.5%
16.
1.  Which best describes the shaded part of this normal distribution graph?  
a)
All data that is one or higher.
b)
All data that is one or more standard deviations above the mean.
c)
All data that is between 1 and 3.
d)
All data that is above the mean.
17.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
18.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
19.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
20.

Where can we locate the mean in the normal curve?

a)

to the left portion

b)

to the right portion

c)

at the center

d)

on the z - axis