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Dispersion Measures Quiz

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Dispersion Measures Quiz

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Quiz on range, IQR, variance, SD

Created by

NUR ASFA DINI BINTI AZMI KPM-Guru
NUR ASFA DINI BINTI AZMI KPM-Guru
Malaysia

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Dispersion Measures Quiz
 

Dispersion Measures QuizOnline version

Quiz on range, IQR, variance, SD

by NUR ASFA DINI BINTI AZMI KPM-Guru
1

Given data: 2,5,7,3,9. What is the range?

2

Data: 1,2,2,3,6,7,8,9. What is the IQR?

3

For 2,5,7,3,9, what is the population variance?

4

Using 2,5,7,3,9, what is the standard deviation (population)?

5

Data: 4,4,4,4,4. What is the range?

6

Data: 10,12,14,16,18,20. What is the IQR?

7

Data: 1,4,9,16,25. What is the population variance?

8

Data: 3,3,3,8,8,10. What is the population standard deviation?

9

Data: 6,7,3,5,9. What is the range?

10

Data: 0,1,1,2,2,4. What is the IQR?

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Range = max - min = 9 - 2 = 7.

Q1 = median of first half (1,2,2,3) = 2; Q3 = median of last half (6,7,8,9) = 7.5; IQR = 7.5 - 2 = 5.5.

Mean = 5.2; sum of squared deviations = 32.8; variance = 32.8/5 = 6.56.

SD = sqrt(6.56) ≈ 2.56.

All values equal; range = max - min = 4 - 4 = 0.

Q1 = median of {10,12,14} = 12; Q3 = median of {16,18,20} = 18; IQR = 18 - 12 = 6.

Mean = 11; sum of squared deviations = 374; variance = 374/5 = 74.8.

Compute mean ≈5.83; SD ≈ sqrt(8.568) ≈ 2.93.

Range = 9 - 3 = 6.

Q1 = median of {0,1,1} = 1; Q3 = median of {2,2,4} = 2; IQR = 2 - 1 = 1.

 
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