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1 vote
Base on the sample data set, find the lower fence and upper fence. Are there any

outliers in this data set?
42, 20, 15, 37, 12, 33

1 Answer

7 votes

Answer: Lower fence: -21.75

Upper fence: 74.25

Explanation:

Other statistical characteristics:

Average (mean): μ=26.5

Absolute deviation: 65

Mean deviation: 10.833333333333

Minimum: 12

Maximum: 42

Variance: 129.58333333333

Standard deviation σ=11.383467544353

Corrected sample standard deviation s=12.46996391334

Coefficient of variation cV=0.47056467597509

Signal-to-noise ratio SNR=2.1251063903763

Median: 26.5

Quartile Q1: 14.25

Quartile Q2: 26.5

Quartile Q3: 38.25

1st decile: 8.4 (Too few data to calculate deciles)

2nd decile: 13.2

3rd decile: 15.5

4th decile: 19

5th decile: 26.5

6th decile: 33.8

7th decile: 36.6

8th decile: 40

9th decile: 29.4

Interquartile range IQR: 24

Quartile Deviation QD: 12

Coefficient of Quartile Deviation CQD: 0.45714285714286

Lower fence: -21.75

Upper fence: 74.25

Set of outliers: {} - empty set - no outliers found

Interdecile range IDR: 21

Mode: {12, 15, 20, 33, 37, 42} - multimodal

Geometric mean: 23.862241819197

Harmonic mean: 21.341712097882

Sum: 159

Sum of squares: 777.5

Sum of absolute values: 159

Average absolute deviation: 10.833333333333

Range: 30

User Mirko Catalano
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