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Difficulty: EasyDescriptive Statistics and Data Representations

A student volunteer recorded the hours they spent working at a community garden and the number of plants watered each day, as shown in the table below:

DayHours VolunteeredPlants Watered
Monday432
Tuesday545
Wednesday648
Thursday436
Friday880

What was the average (mean) number of hours volunteered per day by the student during this five-day period?

  1. A
    5.0
  2. 5.4Answer
  3. C
    20.6
  4. D
    27.0
  5. E
    48.2

Answer

5.4 hours per day
The correct answer is 5.4 hours. To find the mean, sum the daily hours volunteered (4+5+6+4+8=274 + 5 + 6 + 4 + 8 = 27) and divide by the number of days (55), resulting in 5.45.4 hours per day.

Step-by-Step Solution

1
Calculate the total hours volunteered by summing the values in the Hours Volunteered column.
4+5+6+4+8=274 + 5 + 6 + 4 + 8 = 27 hours
To find the average, we first find the sum of all daily hours.
2
Divide the total hours by the number of days, which is 5.
27÷5=5.427 \div 5 = 5.4 hours per day
The mean is defined as the sum of the data values divided by the total number of data points.

Key Concept

Calculating the arithmetic mean from a frequency table or data set.
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Topics

Descriptive Statistics and Data Representations

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