For a science project, a student plants seeds of 2 different varieties of corn plants. The table displays the heights, in inches, of each of the corn plants after 8 weeks. variety A: 46, 46, 47, 48, 49, 49, 50, 6, 48, 49

variety B: 48, 46, 45, 47, 46, 48, 49, 47, 48, 48

a. How many plants of each variety were planted?
b. The mean height of the corn plants of variety A is 43.8 inches. Interpret the value of the mean in the situation.
c. The median height of the corn plants of variety A is 48 inches. Interpret the value of the median in the situation.
d. For the corn plants in variety A, describe the overall pattern of corn plant heights and any striking deviations from the overall pattern of corn plant heights.
e. For the corn plants in variety B, describe the overall pattern of corn plant heights and any striking deviations from the overall pattern of corn plant heights.
f. The interquartile range of the corn plant heights of variety A is 3 inches. The interquartile range of the corn plant heights of variety B is 2 inches. What does the interquartile range tell you about the data for each variety of corn?
g. Which variety of corn plants shows a greater spread of its distribution of heights? Explain your reasoning.