Question

Difficulty: EasyBasic Statistical Calculations

Table 1 shows the heights of 5 sunflower seedlings grown under identical greenhouse conditions for 14 days.

SeedlingHeight (cm\text{cm})
Seedling 112
Seedling 215
Seedling 318
Seedling 415
Seedling 520

Based on the data in Table 1, match each statistical measure of seedling height to its correct calculated value.

  • The mean height of the seedlings16 cm16\text{ cm}
  • The median height of the seedlings15 cm15\text{ cm}
  • The range of the seedling heights8 cm8\text{ cm}

Answer

Mean corresponds to 16 cm16\text{ cm}, Median corresponds to 15 cm15\text{ cm}, and Range corresponds to 8 cm8\text{ cm}.
The mean height is the average value (16 cm16\text{ cm}), the median height is the middle value when the dataset is ordered (15 cm15\text{ cm}), and the range is the difference between the highest and lowest values (8 cm8\text{ cm}).

Step-by-Step Solution

1
Calculate the mean of the seedling heights.
16 cm16\text{ cm}
Sum the heights of all 5 seedlings (12+15+18+15+20=80 cm12 + 15 + 18 + 15 + 20 = 80\text{ cm}) and divide by the total number of seedlings (55) to obtain the arithmetic average: 805=16 cm\frac{80}{5} = 16\text{ cm}.
2
Determine the median of the seedling heights.
15 cm15\text{ cm}
Order the heights from least to greatest: 12,15,15,18,2012, 15, 15, 18, 20. The median is the middle value in this list, which is the third value (15 cm15\text{ cm}).
3
Calculate the range of the seedling heights.
8 cm8\text{ cm}
Identify the maximum height (20 cm20\text{ cm}) and the minimum height (12 cm12\text{ cm}). Subtract the minimum from the maximum to find the range: 2012=8 cm20 - 12 = 8\text{ cm}.

Key Concept

Basic Statistical Calculations
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