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Worksheets2.4 Standard Deviation and the Normal Curve
Total questions: 14
Worksheet time: 23mins
Name
Class
Date
1.
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?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
2.
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?
About what percent of the products last 6 days or less?
a)
68%
b)
34%
c)
16%
d)
2.5%
3.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
4.
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.
5.
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
6.
What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
a)
26-32
b)
3-29
c)
26-29
d)
39-32
7.
This data is normally distributed. What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
8.
This data is normally distributed. What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
9.
This data is normally distributed. What percent of the data is in the shaded region?
a)
68%
b)
32%
c)
95%
d)
50%
10.
This data is normally distributed. What percent of the data is in the shaded region?
a)
68%
b)
32%
c)
16%
d)
50%
11.
The center of the curve represents what value of a data set?
a)
μ = population mean
b)
δ = population standard deviation
c)
Σ= sum of the data values
d)
Ζ = z or standard scores
12.
On the normal curve graph, the positive standard deviations represent values ABOVE or BELOW the mean?
a)
ABOVE
b)
BELOW
13.
What is Standard Deviation?
a)
A measure of central tendency
b)
A measurement of how much data varies
c)
A measurement of how much data varies from the average
14.
What's the standard deviation?
a)
150
b)
60
c)
240
d)
30
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