# Worksheet: Outliers of a Data Set

In this worksheet, we will practice identifying outliers from a data set.

**Q3: **

Find all the outliers, if there are any, in the following set of data: 31.9, 44.2, 31.3, 48.7, 23.4, 35.5, 34.5, 26.5, 41.6, 9.5, 60.2, 52.9, 46.1, 41.8, 51.3.

- A9.5, 60.2
- B60.2
- C9.5
- D31.3
- Eno outliers

**Q6: **

Are the goals scored by the outlier more or fewer than the combined goals of Daniel and James?

Player | William | Jacob | Matthew | Anthony | James | Daniel | Mason | Benjamin |
---|---|---|---|---|---|---|---|---|

Goals | 8 | 8 | 11 | 9 | 3 | 13 | 11 | 10 |

- Aless
- Bmore

**Q8: **

The bar graph shows the prices of six different jackets. Which price is an outlier?

**Q10: **

The table shows the number of speakers of some non-English languages in the US. Identify all possible outliers.

Language | Bengali | Thai | Persian | Vietnamese | Spanish | Nepali | German | Hebrew |
---|---|---|---|---|---|---|---|---|

Number of Speakers | 800,000 | 163,200 | 407,600 | 1,410,000 | 37,580,000 | 185,145 | 1,080,000 | 216,300 |

- A163,200
- B37,580,000
- Cno outliers
- D1,410,000
- E163,200, 37,580,000

**Q12: **

Why might it be preferable to use the interquartile range, rather than the range, as a measure of spread for this data set?

7 | 8 | 14 | 12 | 10 | 45 | 11 | 16 | 10 |

- ANone of the data is less than 7.
- BThe high value of 45 may be an outlier.
- CThe data points are clustered together.
- DIt is easier to calculate.
- EThe data is symmetric.

**Q13: **

State if this is true or false: The value 48 is an outlier.

- Atrue
- Bfalse

**Q14: **

The table below shows the number of messages exchanged on the smart phones of 14 students over a single month. The data have also been plotted in a dot plot.

Are there any outliers in this data set? If so, specify the value or values of these outliers.

- AThere is one outlier in the data: 9,754.
- BThere is one outlier in the data: 4,542.
- CThere are two outliers in the data: 2,830 and 9,754.
- DThere is one outlier in the data: 2,830.
- EThere are no outliers in the data.