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In this lesson, we will learn how to find and interpret the median of a data set.

Q1:

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

Q2:

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?

Q3:

Calculate the median of the values in the table.

Q4:

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?

Q5:

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

Q6:

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

Q7:

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

Q8:

Each time she writes a script for a movie, Yasmine 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.

Q9:

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

What is the median length?

Q10:

The table shows the distribution of marks students attained in a mathematics exam. By drawing a cumulative frequency curve, estimate the median mark attained.

Q11:

Find the median of the numbers in the table.

Q12:

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

Q13:

By drawing a cumulative frequency curve, find the median of the following frequency distribution.

Q14:

The table shows the distribution of daily wages of 100 workers at a factory. By drawing a cumulative frequency curve, estimate the median daily wage.

Q15:

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

Q16:

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

Q17:

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

Q18:

The bar graph shows the percentage of different metals that make up an alloy. Is the median of the percentages 1 0 % ?

Q19:

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

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).

Q21:

Calculate the median of each data set.

What do the medians reveal about the two data sets?

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