Normal distribution. Mean standard deviation, percentages, ect. All problems are posted in pictures. Thank you!!
82
85
88
91
94
97
100
Based on the graph of this normal distribution,
a. The mean is
b. The standard deviation is
c. 68% of the data values are between
and
d. 95% of the data values are between
and
e. 99.7% of the data values are between
and
A set of exam scores is normally distributed with a mean = 84 and standard deviation = 7.
Use the Empirical Rule to complete the following sentences.
68% of the scores are between
and
95% of the scores are between
and
99.7% of the scores are between
and
The time to complete an exam is approximately Normal with a mean j = 45 minutes and a standard deviation o = 3 minutes.
The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation.
1. Fill in the indicated boxes.
u= 45
O = 3
=’30 h-20 to
utou+20 u +30
2. Used the Empirical Rule to complete the following statements:
95% of testing times were between minutes and minutes.
% of the testing times were between 42 minutes and 48 minutes.
The testing times for a group of college students were normally distributed with a mean of u = 37 minutes and a standard deviation of o = 2.5 minutes.
The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes.
= 37
0 = 2.5
u-30
u-20
u-o
uto
u+20 +30
Used the Empirical Rule to complete the following statements:
68% of testing times were between
minutes and
minutes.
95% of testing times were between
minutes and
minutes.
99.7% of testing times were between
minutes and
minutes.
50% of testing times were below
minutes.
62
66
70
78
82
86
74
Test Scores
Use the Empirical Rule to answer the following questions.
c.
d.
a. The mean is
b. The standard deviation is
% of the test scores are between 70 and 78.
d. % of the test scores are between 66 and 82.
% of the test scores are between 62 and 86.
% of the test scores are between 74 and 78.
% of the test scores are less than 74.
h % of the test scores are less than 78.
e.
f.
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