b Which measures should we use when the distribution of the data is skewed?
C
c If the data size is larger, its distribution is more closely to the complete data set distribution.
A
aHistogram:
B
b The distribution is skewed right, so the median and the five-number summary best represent the data.
C
c The distribution will become more symmetric.
Practice makes perfect
a Consider the given table.
IQ Scores
170
190
180
160
180
210
154
170
180
195
230
160
170
186
180
225
190
170
The given table represents the greatest known IQ scores. We are asked to display the data in a histogram by using five intervals beginning with 151-166. To do so, we first need to make a frequency table.
IQ Scores
Frequency
151-166
3
167-182
8
183-198
4
199-214
1
215-230
2
We can now display the data in a histogram. To do so, let's set the horizontal axis to be the IQ Score and the vertical axis to be the Frequency. Finally, we will draw bars to represent the frequency of each interval. Let's do it!
c Given that the distribution of IQ scores for the human population is symmetric, we are asked what will happen to the shape of our distribution if we include more and more IQ scores. Having more data means that we are closer to the complete data set. As a result, the distribution will become more symmetric.
