Question

Which data set contains an outlier?

O {9, 10, 10, 11. 4, 12. 1, 12. 6}

O {15, 15, 15, 16, 16, 17, 18}

O {16, 42, 45, 45, 46, 48}

O {45, 46, 47, 47, 49, 49}

Answer 1

O {16, 42, 45, 45, 46, 48}

Explanation:

To determine if a data set contains an outlier, we need to look for values that significantly deviate from the rest of the data.

Looking at the given options:

Option O {9, 10, 10, 11.4, 12.1, 12.6} does not contain any values that stand out as outliers.

Option O {15, 15, 15, 16, 16, 17, 18} does not contain any values that stand out as outliers.

Option O {16, 42, 45, 45, 46, 48} contains the value 42, which is significantly different from the other values. Therefore, this data set contains an outlier.

Option O {45, 46, 47, 47, 49, 49} does not contain any values that stand out as outliers.

Therefore, the data set that contains an outlier is:

Option O {16, 42, 45, 45, 46, 48}