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What is the interquartile range of this data? {72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102}

Respuesta :

texaschic101
put the numbers in order
32,34,38,45,49,66,66,69,71,72,74,75,102

Q1 = (38 + 45)/2 = 41.5
Q2 (the median) = 66
Q3 = (72 + 74)/2 = 73

Interquartile range (IQR) = Q3 - Q1 = 73 - 41.5 = 31.5

The interquartile range of this data, {72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102} is 31.5

Interquartile range:

  • Q₃ - Q₁

where

Q₃ = upper quartile

Q₁ = Lower quartile

Therefore, the data is as follows:

  • {72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102}

let's arrange the data in ascending form:

  • {32, 34, 38, 45, 49, 66, 66, 69, 71, 72, 74, 75, 102 }

The median of the data is 66.

Therefore,

Q₁ = 45 + 38 / 2 = 83 / 2 = 41.5

Q₃ = 72 + 74 / 2 = 146 / 2 = 73

Interquartile range = 73 - 41.5 = 31.5

learn more interquartile range here:https://brainly.com/question/3491195?referrer=searchResults