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Difficulty: EasyMeasures of Central Tendency

A recruiting station commander records the number of new applicants processed each day for 55 consecutive days. The daily counts are 33, 33, 55, 88, and 1111. Match each measure of central tendency to its correct calculated value for this data set.

  • Mode33
  • Median55
  • Mean66

Answer

The correct matches are: Mode pairs with 33, Median pairs with 55, and Mean pairs with 66.
Based on the data set of 3,3,5,8,113, 3, 5, 8, 11, the mode is 33 because it appears most frequently. The median is 55 because it is the central value of the ordered list. The mean is 66 because the sum (3030) divided by the count (55) equals 66.

Step-by-Step Solution

1
Determine the mode of the data set.
Mode = 33
The mode is the number that appears most frequently. 33 is the only number that appears more than once.
2
Determine the median of the data set.
Median = 55
The data is already arranged in ascending order: 3,3,5,8,113, 3, 5, 8, 11. The middle number (third position out of five) is 55.
3
Calculate the mean of the data set.
Mean = 66
Calculate the sum of the numbers (3+3+5+8+11=303 + 3 + 5 + 8 + 11 = 30) and divide by the number of days (55): 30÷5=630 \div 5 = 6.

Key Concept

Calculating the primary measures of central tendency (mean, median, and mode) for a data set.
Estimated Time:45s
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Topics

Measures of Central Tendency

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