Try It

Measures of Central Tendency Practice

Scenario

Kenneth's miniature golf scores are in the chart below. He made a tally mark next to his score after each game. Find the mean, median, and mode of his scores. Determine each and then check your answers in the following tabs.

Mini Golf Score Chart with 7 tallies at Score 67, 3 tallies at Score 68, 5 tallies at Score 69, 7 tallies at Score 70, 3 tallies at Score 71, and 4 tallies at Score 72.

Problem #1

Determine the mean.

Mini Golf Score Chart with 7 tallies at Score 67, 3 tallies at Score 68, 5 tallies at Score 69, 7 tallies at Score 70, 3 tallies at Score 71, and 4 tallies at Score 72.

[(67×7) + (68×3) + (69×5) + (70×7) + (71×3) + (72×4) ÷ 29]
(469 + 204 + 345 + 490 + 213 + 288) ÷ 29
2,009 ÷ 29

The mean is 69.2759.

Problem #2

Determine the median.

Mini Golf Score Chart with 7 tallies at Score 67, 3 tallies at Score 68, 5 tallies at Score 69, 7 tallies at Score 70, 3 tallies at Score 71, and 4 tallies at Score 72.

Step 1: Put the numbers in order from smallest to largest. 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 72, 72, 72, 72

Step 2: Determine the median.

The median is 69.

Problem #3

Determine the mode.

Mini Golf Score Chart with 7 tallies at Score 67, 3 tallies at Score 68, 5 tallies at Score 69, 7 tallies at Score 70, 3 tallies at Score 71, and 4 tallies at Score 72.

Step 1: Lay out scores sequentially, determine the mode.

67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 72, 72, 72, 72

Step 2: Determine the mode.

The mode is 67 and 70.

Review

Kenneth's miniature golf scores are in the chart below. He made a tally mark next to his score after each game.

Mini Golf Score Chart with 7 tallies at Score 67, 3 tallies at Score 68, 5 tallies at Score 69, 7 tallies at Score 70, 3 tallies at Score 71, and 4 tallies at Score 72.

We've determined the following measures of central tendency for this data set:

  • Mean = 69.2759
  • Median = 69
  • Mode = 67 and 70