Worksheet: The Median of a Data Set

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

Q1:

Find the median for the set of data in this table.

AmountTallyFrequency
157
358
501
754
905

Q2:

What is the median of the following numbers: 11, 11, 8, 8, 9, 9?

Q3:

Calculate the median of the values 2.9,5.4,5.1,3.7,3.4,1.9,6.1,8.1,12.4,2.6,8.85.5,and.

Q4:

Find the median of the values 20150320130200,,,,and.

Q5:

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

Q6:

Find the median of the values 200300330370,,,and.

Q7:

Find the median of the values 2.41.96.39.99.4,,,,and.

Q8:

Find the median of the values 10.26.212.45.6,,,and.

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.

3927242336
4330392616
214152212

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?

PlayerJamesLiamMasonMichaelEthanDaniel
Goals15131151411

Q11:

Calculate the median of the values in the table.

131323202113231315221519201815

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 Grade65,61,59,50,61,65,54
Sixth Grade60,58,65,64,53,55,64

Q13:

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

ChildChild 1Child 2Child 3Child 4Child 5Child 6Child 7Child 8
Savings in Dollars44.0036.5036.5033.0018.7017.6014.4041.00

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, Michael 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.

4.19.110.68.33.612.92.91.16.69.63.4

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.

Play12345
Yardage7โˆ’6โˆ’18209

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 โ€œaverage.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?

DayFridaySaturdaySundayMondayTuesdayWednesdayThursday
Number Of Sold Cupcakes18202514161525

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)9858446
Student (B)4937649

Q21:

Data Set 12522285126282932
Data Set 22127192624232825

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)576366547260676160746152
Athlete (B)567470636746476868526451

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.

  • A38524
  • B38925
  • C38523
  • D38.6
  • E38.9

Q24:

Let ๐พ be a positive number. Given that the median of the values ๐พ+12๐พ+8๐พ+14๐พ+4๐พ+20,,,,and is 28, determine the value of ๐พ.

Q25:

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

StudentsMathematicsChemistryPhysicsBiologyHistory
(A)131214117
(B)141115812
(C)6714138
(D)119121014

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