Which data set has an outlier?
a) 6, 13, 13, 15, 15, 18, 18, 22
b) 4, 4, 4, 8, 9, 9, 11, 18
c) 2, 3, 5, 7, 8, 8, 9, 10, 12, 17
d) 3, 6, 7, 7, 8, 8, 9, 9, 9, 10

the correct option is d.

step-by-step explanation:

a data set has an outlier if the data set lies out sides the interval

where .

option a,

the given data is

6, 13, 13, 15, 15, 18, 18, 22

divide the data in four equal parts.

(6, 13), (13, 15), (15, 18), (18, 22)

all the elements of the data lie in the interval [5.5,25.5], therefore the data set has no outlier.

option b,

the given data is

4, 4, 4, 8, 9, 9, 11, 18

divide the data in four equal parts.

(4, 4), (4, 8), (9, 9), (11, 18)

all the elements of the data lie in the interval [-5,19], therefore the data set has no outlier.

option c,

the given data is

2, 3, 5, 7, 8, 8, 9, 10, 12, 17

divide the data in four equal parts.

(2, 3), 5,( 7, 8), (8, 9), 10, (12, 17)

all the elements of the data lie in the interval [-2.5,17.5], therefore the data set has no outlier.

option d,

the given data is

3, 6, 7, 7, 8, 8, 9, 9, 9, 10

divide the data in four equal parts.

(3, 6), 7, (7, 8), (8, 9), 9,( 9, 10)

since 3∉[4,12], therefore the data set has an outlier 3.

thus option d is correct.

step-by-step explanation:

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