Consider the histogram below. Which of the following statements is necessarily true?
A) If the data in this histogram were to be displayed in a stem-and-leaf plot, there would be 3 leaves in the first row of the plot.
B) The median of this data set lies between 15 and 20.
C) The histogram contains less information about the original data than if the data were represented in a stem-and-leaf plot.
D) There are two means in the data set.

Question

Consider the histogram below. Which of the following statements is necessarily true? 
A) If the data in this histogram were to be displayed in a stem-and-leaf plot, there would be 3 leaves in the first row of the plot. 
B) The median of this data set lies between 15 and 20. 
C) The histogram contains less information about the original data than if the data were represented in a stem-and-leaf plot. 
D) There are two means in the data set.

Quizplus · Accepted Answer

The median of a data set is the value that divides the data into two equal halves. In this histogram, the middle bar represents the range from 15 to 20, which means that approximately 50% of the data falls within this range. Therefore, the median must lie between 15 and 20. Choice A is not necessarily true as we do not know the specific values in the data set. Choice C is incorrect as a histogram and a stem-and-leaf plot both represent the same data but in different visual forms. Choice D is incorrect as there is only one mean in a data set.

Consider the Histogram Below