21. A high school teacher recorded the lengths, in pages, of all the senior research papers and made a histogram to visualize the data.Which term describes the shape of the distribution? (Histogram of senior research paper lengths - positively skewed)
Answer: C
The shape of the distribution is bell shaped.
The histogram of the senior research paper lengths indicates a bell-shaped distribution, which is characterized by a symmetrical curve where most values cluster around the mean, tapering off equally on both sides.
A) Negatively skewed
A negatively skewed distribution would have a tail extending to the left, indicating that most values are concentrated on the right side. Since the histogram shows a bell shape, this option is incorrect.
B) Positively skewed
A positively skewed distribution features a tail that extends to the right, meaning that there are fewer longer values. The description of the distribution as bell-shaped contradicts this option, making it incorrect.
C) Bell shaped
A bell-shaped distribution is symmetric and indicates that the majority of data points are concentrated around the mean with tails on either side tapering off equally. This aligns perfectly with the characteristics of the histogram provided, confirming it as the correct answer.
D) Bimodal
A bimodal distribution has two distinct peaks, which is not indicated in the context of the histogram described. Since the distribution is bell-shaped, this option is not applicable.
Conclusion
The bell-shaped distribution is indicative of a normal distribution where data points are symmetrically distributed around the mean. Other options, such as negatively skewed, positively skewed, and bimodal, fail to describe the observed characteristics of the histogram accurately, solidifying bell-shaped as the definitive correct answer.