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Question

Twenty sales representatives from the Scrapper Elevator Company market their goods across North America. Below is a list of each representative's monthly sales volume. Assume that the population values correspond to these sales numbers.

$\begin{array}{llllllllllllllllllll} 2 & 3 & 2 & 3 & 3 & 4 & 2 & 4 & 3 & 2 & 2 & 7 & 3 & 4 & 5 & 3 & 3 & 3 & 3 & 5 \end{array}$

Draw a graph showing the population distribution.

Solution

VerifiedAnswered 11 months ago

Answered 11 months ago

Step 1

1 of 2Create the population distribution table to show the frequency of each population value and its probability. *Table 1* shows the population distribution table.

Note: The probability of each population value is computed as the ratio of its frequency to the population size $N=20$.

Table 1: Population distribution table

$\text{Units Sold}$ | $\text{Frequency}$ | $\text{Probability}$ |
---|---|---|

$2$ | $5$ | $\dfrac{5}{20} = 0.25$ |

$3$ | $9$ | $\dfrac{9}{20} = 0.45$ |

$4$ | $3$ | $\dfrac{3}{20} = 0.15$ |

$5$ | $2$ | $\dfrac{2}{20} = 0.10$ |

$7$ | $1$ | $\dfrac{1}{20} = 0.05$ |

$\textbf{Total}$ | $\bf 20$ | $\bf 1.00$ |

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