Numerical Summaries for Height (cm)

Number 33 Min 160

Mean 174.6061 Q1 167

St Dev 9.340568 Median 171

Coeff of Var 0.053495 Q3 181

Skew 0.328221 Max 191

The mean is calculated by adding all results, then dividing by the number of results. Here the mean height is seen as approximately 175cm. The mode is the most frequent result (167cm) and the median is the very middle value of the dataset, here seen as 171cm. It can be clearly seen from the histogram below, that the data is right skewed, (or positively skewed) and because of this, a more accurate measure of centre would be the median, because it is less affected by skew and outliers, unlike the mean. The range (largest height minus the lowest height, 191 minus 160) is 31, the inter-quartile range seen in the five-number summary above, (Q3 minus Q1) is 14. As well as this, the histogram below shows that most points were in the class...