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The following data represents the weight of goods in a truck in tons. Find the lower limit of the outlier.1.5, 1.4, 1.7, 1.2, 2, 1.8, 2.5

The Following Data Represents The Weight Of Goods In A Truck In Tons Find The Lower Limit Of The Outlier15 14 17 12 2 18 25 class=

Sagot :

Answer:

0.5

Explanations:

The given dataset is:

1.5, 1.4, 1.7, 1.2, 2, 1.8, 2.5

Step 1: Rearrange the dataset in ascending order

1.2, 1.4, 1.5, 1.7, 1.8, 2, 2.5

Step 2: Find the lower quartile, Q₁

The lower quartile is the median of the first half of the data set

That is Q₁ is the median of 1.2, 1.4, 1.5

Q₁ = 1.4

Step 3: Find the upper quartile, Q₃

The upper quartile is the median of the second half of the data set

That is Q₃ is the median of 1.8, 2, 2.5

Q₃ = 2

Step 4: Find the interquartile range (IQR)

IQR = Q₃ - Q₁

IQR = 2 - 1.4

IQR = 0.6

Step 5: Find the lower limit of the outlier using the formula below

Lower limit = Q₁ - 1.5(IQR)

Lower limit = 1.4 - 1.5(0.6)

Lower limit = 1.4 - 0.9

Lower limit = 0.5

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