# Worksheet: The Median of a Data Set

In this worksheet, we will practice finding and interpreting the median of a data set.

**Q5: **

What is the median of the following numbers: 10, 10, 7, 7, 8?

**Q6: **

Find the median of the values .

**Q7: **

Find the median of the values .

**Q8: **

Find the median of the values .

**Q9: **

The given table shows the temperatures, in Fahrenheit, of some cities in January. Find the median of the three cities with the highest temperatures.

39 | 27 | 24 | 23 | 36 |

43 | 30 | 39 | 26 | 16 |

21 | 41 | 5 | 22 | 12 |

**Q10: **

The table shows the players on a soccer team who scored goals during a season. Suppose a player that scored 15 goals was added to the table. What would the median number of goals scored be?

Player | William | Ethan | Benjamin | Daniel | James | Matthew |
---|---|---|---|---|---|---|

Goals | 15 | 13 | 11 | 5 | 14 | 11 |

**Q11: **

Calculate the median of the values in the table.

13 | 13 | 23 | 20 | 21 | 13 | 23 | 13 | 15 | 22 | 15 | 19 | 20 | 18 | 15 |

**Q12: **

The table records the heights, in inches, of a group of fifth graders and a group of sixth graders. What is the difference between the medians of the heights of both groups?

Fifth Grade | |

Sixth Grade |

**Q13: **

The table shows the savings of a group of 8 children. Determine the median of the data.

Child | Child 1 | Child 2 | Child 3 | Child 4 | Child 5 | Child 6 | Child 7 | Child 8 |
---|---|---|---|---|---|---|---|---|

Savings in Dollars | 44.00 | 36.50 | 36.50 | 33.00 | 18.70 | 17.60 | 14.40 | 41.00 |

**Q14: **

Each time she writes a script for a movie, Natalie creates a number of drafts. For the last five movies, she wrote 7, 8, 10, 6, and 6 drafts. Find the median of the number of drafts she writes.

**Q15: **

For his science lab, Daniel recorded the following lengths of 7 tree leaves: 2 centimeters, 7 centimeters, 7 centimeters, 5 centimeters, 6 centimeters, 3 centimeters, and 2 centimeters.

What is the median length?

**Q16: **

Find the median of the numbers in the table.

4.1 | 9.1 | 10.6 | 8.3 | 3.6 | 12.9 | 2.9 | 1.1 | 6.6 | 9.6 | 3.4 |

**Q17: **

The table shows the yardage gained by a team each play for five plays. By arranging the yardage in ascending order, find the median.

Play | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|

Yardage | 7 | 20 | 9 |

**Q18: **

What is the correct definition of the median of a data set?

- AThe median is the difference between the lower quartile and the upper quartile.
- BThe median is the most common data value.
- CThe median is the mathematical โaverage.โ If all data values were the same, they would be equal to the median.
- DThe median is the difference between the maximum and minimum data values.
- EThe median is the central data value. Half of the values in the data set are above the median and half are below the median.

**Q19: **

The table shows the number of sold cupcakes last week. What is the median of the numbers?

Day | Friday | Saturday | Sunday | Monday | Tuesday | Wednesday | Thursday |
---|---|---|---|---|---|---|---|

Number Of Sold Cupcakes | 18 | 20 | 25 | 14 | 16 | 15 | 25 |

**Q20: **

The table shows the number of hours that two students spent studying on each day of a week. Find the median number of hours spent studying by student (A).

Student (A) | 9 | 8 | 5 | 8 | 4 | 4 | 6 |
---|---|---|---|---|---|---|---|

Student (B) | 4 | 9 | 3 | 7 | 6 | 4 | 9 |

**Q21: **

Data Set 1 | 25 | 22 | 28 | 51 | 26 | 28 | 29 | 32 |
---|---|---|---|---|---|---|---|---|

Data Set 2 | 21 | 27 | 19 | 26 | 24 | 23 | 28 | 25 |

Calculate the median of each data set.

- Adata set 1:28, dataset 2:24
- Bdata set 1: 24.5, data set 2: 28
- Cdata set 1:27.5, data set 2:24
- Ddata set 1: 27.5, data set 2: 24.5
- Edata set 1: 28, data set 2: 24.5

What do the medians reveal about the two data sets?

- AThe distributions of the two data sets are very similar.
- BThe central value of data set 2 is larger than the central value of data set 1.
- CThe central value of data set 1 is larger than that of data set 2.
- DThe difference between the minimum and maximum values is similar for both data sets.
- EThe spread of the middle 50% of the values is similar for both data sets.

**Q22: **

The table shows the hours trained per month of two athletes. Find the median number of hours trained for athlete (B).

Athlete (A) | 57 | 63 | 66 | 54 | 72 | 60 | 67 | 61 | 60 | 74 | 61 | 52 |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Athlete (B) | 56 | 74 | 70 | 63 | 67 | 46 | 47 | 68 | 68 | 52 | 64 | 51 |

**Q23: **

If you arrange a set of numbers from least to greatest, the middle number will be the median. Find the median of the numbers on these cards.

- A
- B
- C
- D38.6
- E38.9

**Q24: **

Let be a positive number. Given that the median of the values is 28, determine the value of .

**Q25: **

The table shows the marks that four students received in their end of year exams. Calculate the median mark achieved by student (D).

Students | Mathematics | Chemistry | Physics | Biology | History |
---|---|---|---|---|---|

(A) | 13 | 12 | 14 | 11 | 7 |

(B) | 14 | 11 | 15 | 8 | 12 |

(C) | 6 | 7 | 14 | 13 | 8 |

(D) | 11 | 9 | 12 | 10 | 14 |