Understanding Percentiles in Normal Distribution

Understanding Percentiles in Normal Distribution

Assessment

Interactive Video

Created by

Amelia Wright

Mathematics, Computers, Education

9th - 12th Grade

Hard

This lesson demonstrates how to find a data value in a normal distribution corresponding to a given percentile using Desmos. It covers calculating the 90th and 75th percentiles for a test with a mean score of 82 and a standard deviation of 5.5. The video includes step-by-step instructions for using Desmos to find these percentiles and verify them graphically.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the mean score of the test mentioned in the lesson?

85

82

80

90

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which website is used to determine the data value of a normal distribution in this lesson?

Coursera

EdX

Desmos

Khan Academy

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What function is used in Desmos to find the 90th percentile?

Normal Dist

Mean

Inverse CDF

Standard Deviation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate test score for the 90th percentile?

90.00

85.71

89.05

82.00

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of graphing the normal distribution in Desmos?

To find the mean

To verify the percentile

To determine the mode

To calculate the standard deviation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentile is referred to as the third quartile?

25th

90th

50th

75th

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value should be entered in Desmos to find the 75th percentile?

0.50

0.25

0.75

0.90

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate test score for the 75th percentile?

82.00

85.71

90.00

89.05

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the area to the left of a test score verified in Desmos?

By changing the mean

By altering the minimum value

By adjusting the standard deviation

By setting the max to the test score

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in verifying the test score on the graph?

Typing the test score equation

Altering the distribution type

Adjusting the standard deviation

Changing the mean

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