Photo AI
The shapes of the histograms of four different sets of data are shown below - Leaving Cert Mathematics - Question 2 - 2012
Question 2
The shapes of the histograms of four different sets of data are shown below. (a) Complete the table below, indicating whether the statement is correct (✓) or incorr... show full transcript
Worked Solution & Example Answer:The shapes of the histograms of four different sets of data are shown below - Leaving Cert Mathematics - Question 2 - 2012
Step 1
Step 2
State which of them has the largest standard deviation, and justify your answer.
Answer
Answer: D
Justification: Histogram D has the largest standard deviation. The standard deviation measures how far the data are spread out from the mean. Since histogram D is symmetric, the mean is in the middle. However, we can also see that in histogram D, most of the data are spread out to the far right and left of the diagram, generally far from the mean. Therefore, of the four histograms, D has the largest standard deviation.