Question

question: 9
a scientist measures the heights of sunflower plants. the histogram shows the results. which statement is correct?
a. the data is skewed left, so the mean height is greater than the median height.
b. the data is skewed right, so the median height is greater than the mean height.
c. the data is skewed left, so the median height is greater than the mean height.
d. no conclusion can be made about the relationship between the median height and the mean height based on the histogram.

Explanation:

Step1: Identify the skewness

Looking at the histogram, the tail is on the left side. So, the data is skewed left.

Step2: Recall the relationship between mean, median and skewness

For a left - skewed distribution, the mean is pulled towards the tail (left side). The median is less affected by extreme values. So, the median height is greater than the mean height.

Answer:

C. The data is skewed left, so the median height is greater than the mean height.