The manager of specialty outdoor store has gathered the following data concerning sales (in hundreds of dollars) of all the items sold by the store in the previous 2 months:

Item Type

Number Sold

Sales $ (00s)

Pants, jackets, and insulating layers

150

125

Hats and gloves

30

15

Socks and shoes

75

400

Skiing hardware

25

65

Climbing hardware

70

45

Which of the following would be the best choice for showing the share of sales due to each Item Type?

Question

The manager of specialty outdoor store has gathered the following data concerning sales (in hundreds of dollars) of all the items sold by the store in the previous 2 months:

Item Type

Number Sold

Sales $ (00s)

Pants, jackets, and insulating layers

150

125

Hats and gloves

30

15

Socks and shoes

75

400

Skiing hardware

25

65

Climbing hardware

70

45

Which of the following would be the best choice for showing the share of sales due to each Item Type?

BlackTom AI · Accepted Answer

The question asks which visualization best shows the share of sales attributed to each Item Type, using the sales data provided.
Option 1: The mode. The mode identifies the most frequent value in a data set. Here, we are dealing with sales totals by item type, not a repeat value within a single dataset. The mode would not convey the proportional share of total sales by type, so this choice is inappropriate.
Option 2: The median. The median is the middle value when data are ordered. While it can describe a central tendency for a single variable, it does not illustrate how large a portion of total sales each item type contributes. Therefore, it does not effectively communicate share of sales.
Option 3: A side-by-side bar chart. This kind of chart can display quantities for multiple categories side by side, which helps compare absolute sales across item types. However, it emphasizes absolute values rather than relative shares of the total. It can still show comparisons, but it does not directly standardize to shares or percentages of total sales unless we add percentages, making it a less direct tool for share representation.
Option 4: A Pareto chart using the Number Sold for each type. A Pareto chart orders categories by frequency or magnitude and shows cumulative impact, which is useful for prioritization. However, the prompt notes that Pareto chart is out of scope, and even when used, it emphasizes ordering by largest contributors to the total rather than clearly presenting the share of total sales for each type in an easily comparable way.
Option 5: A relative frequency table. This table expresses, for each Item Type, the proportion (or percentage) of total sales that type accounts for. By converting raw sales figures to shares of the grand total, it directly communicates the requested information: how much each type contributes to overall sales, in relative terms. This aligns precisely with showing the share of sales by type.
Thus, after weighing each option, the relative frequency table stands out as the most direct and appropriate method for displaying each type’s share of total sales, given the data at hand.

ISOM2500 (L4) Practices for Module 1 (A)

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