Question;
1) The shaded plants set has greater variability because more data is clustered around the median.
2) The sets are equally variable because the ranges of the data sets are equal.
3) The full sun plants set has greater variability because the IQR for full sun plants is greater.
Answer:
The correct option is;
3) The full sun plants set has greater variability because the IQR for full sun plants is greater
Step-by-step explanation:
To answer the question, we present the dot plot as follows;
Heights of Shaded plants (inches)
0 4 3 2 0 0 1
0 1.5 2 2.5 3 3.5 4 4.5
We calculate the five numbers as follows;
Max = 4.5
Min = 2
1st quartile = (10+1)/4 th term = 2
2nd quartile (Median) = (10+1)/2 th term = 2.5
3rd quartile = 3×(10+1)/4 th term = 3
Interquatile range (IQR) = Q₃ - Q₁ = 3 - 2 = 1
Where:
Q₁ = 1st quartile
Q₃ = 3rd quartile
Heights of Full Sun plants
0 1 0 2 0 4 3
1.5 2 2.5 3 3.5 4 4.5
We calculate the five numbers as follows;
Max = 4.5
Min = 2
1st quartile = (10+1)/4 th term = 3
2nd quartile (Median) = (10+1)/2 th term = 4
3rd quartile = 3×(10+1)/4 th term = 4.5
Interquatile range (IQR) = Q₃ - Q₁ = 4.5 - 3 = 1.5
The interquartile range, IQR, is a measure of variability
Therefore, the full sun plants set has greater variability because the IQR for full sun plants is greater.
