The Following Data Represent the Weights (In Kilograms) of a Sample

question 73

Short Answer

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight
$$\begin{array} { l } 165 \\175 \\150 \\155 \\173 \\149 \\145 \\153 \\153 \\153 \\152 \\145 \\164 \\143 \\170 \\175 \\148 \\174 \\171 \\156 \\166 \\168 \\152 \\150 \\173 \\168 \\146 \\155 \\172 \\159\end{array}$$ Determine the location and value of the lower quartile of the weights.

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Definitions:

Standard Deviation

A calculation that determines the extent of variability or dispersion in a series of values.

Normal Distribution

Normal distribution, also known as Gaussian distribution, is a continuous probability distribution that is symmetrical around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

50th Percentile

Also known as the median, it is the value below which 50% of the data points in a data set lie.

Normal Distribution

A statistical distribution where the data forms a symmetrical bell-shaped curve, with the mean, median, and mode all equal and in the center.