Answer: right skewed
Explanation:
To determine whether the given data set is left-skewed or right-skewed, we need to look at the distribution of the data points and the direction in which the tail of the distribution extends.
Here's the data set:
29, 31, 29, 26, 28, 22, 25, 29, 29, 27, 28, 23, 26, 29
To assess skewness, you can compare the mean, median, and the positions of these measures relative to each other.
Calculate the mean:
Mean = (29 + 31 + 29 + 26 + 28 + 22 + 25 + 29 + 29 + 27 + 28 + 23 + 26 + 29) / 14 ≈ 27.64
Calculate the median:
The median is the middle value of the data when it's sorted. After sorting the data, the median is the 7th value, which is 27.
In this case, the mean (27.64) is slightly greater than the median (27), indicating that the data might have a right-skewed distribution.
Right-skewed distributions have a longer tail on the right side, where the larger values are. This suggests that there might be a few larger values that are pulling the mean to the right.
However, to make a definitive determination, you might also want to create a histogram or a box plot of the data to visualize the distribution and the skewness more clearly. This would provide a graphical representation that can help you understand the shape of the data distribution.