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Laabri

Normal Distribution and Z-scores

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Last updated 3 months ago
8 Nsɛmmisa
3
Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Mr. Statson gave a quiz and found it was normally distributed with a mean of 25 and a standard deviation of 10.

Find the z-scores fore each of the following values.

a) 40

b) 27

c) 6

Show work for your answers for full credit.

Round to one decimal place.

3
4

The scores from a statistics test were {99, 60, 82, 78, 93, 71, 68, 86, 80, 95, 72, 64}

2
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Calculate. Round to the nearest whole number, if necessary.

mean:

standard deviation:

5
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Draw and label the normal distribution curve with the empirical rule.

2
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

68% of the students have a test score between and .

2
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4.

95% of the students have a test score between and .

2
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5.

What percentage of the students scored less than a 79?

What percent of the students scored between a 55 and 91?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Ms. Algebrian's test was normally distributed with a mean of 6 and a standard deviation of 1.5.

Find the z-scores for each of the following data values.

a) 4

b) 10

c) 7

Show all work for credit.

Round your answers to one decimal place.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

The table shows test data for four different classes and for one student in each class.

Find each student's grade. Round your answer to the nearest tenth.

Jacob:

Sophie:

Avery:

Garrett:

Show all work for full credit.