This histogram shows the times, in minutes, required for 25 rats in an animal behavior experiment to successfully navigate a maze.For the data described by the above histogram, which of the following is a correct statement about the median? The median will be smaller than the mean. The median will be larger than the mean. The median and the mean will be about the same. The median and the range will be about the same.Question 2
Question
This histogram shows the times, in minutes, required for 25 rats in an animal behavior experiment to successfully navigate a maze.For the data described by the above histogram, which of the following is a correct statement about the median? The median will be smaller than the mean. The median will be larger than the mean. The median and the mean will be about the same. The median and the range will be about the same.Question 2
Solution
Based on the given histogram, we can determine the correct statement about the median. To find the median, we need to locate the middle value in the data set. In this case, the middle value would be the time that separates the lower half of the rats from the upper half.
Since the histogram is not provided, we cannot determine the exact values. However, we can make an inference based on the given options.
If the histogram is skewed to the right, with a longer tail on the right side, it means that there are some rats that took a longer time to navigate the maze. In this case, the median will be smaller than the mean because the mean is influenced by the outliers on the right side.
On the other hand, if the histogram is skewed to the left, with a longer tail on the left side, it means that there are some rats that took a shorter time to navigate the maze. In this case, the median will be larger than the mean because the mean is influenced by the outliers on the left side.
If the histogram is symmetric, with a similar number of rats taking shorter and longer times, then the median and the mean will be about the same.
Without the actual histogram, we cannot determine the exact relationship between the median and the mean. Therefore, we cannot definitively state which option is correct.
Similar Questions
In the histogram below, what will be the relationship between the mean and median of the collected data?The mean will be bigger than the median.The mean will be smaller than the median.The mean and median will be about the same.
A symmetric histogram had been used to represents the lifespan of a random sample of a particular type of insect. Determine the relationship between the mean and median.
Histogram is useful to determine graphically the value of(a) Arithmetic Mean(b) Median(c) Mode(d) HM
Which of the following statements about the median is not true?Question 13Select one:a.It is equal to the mode in bell-shaped "normal" distributionsb.It is equal to Q2c.It is more affected by extreme values than the meand.It is a measure of central tendency
Which of the following is the proportion of the total area that must be to the left of the median, in a histogram?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.