Question

1. marjorie is a stockperson at a drugstore. she tracks sales of the different brands of hairspray sold at the store. the table below indicates the number of containers of each brand that sold in the past month.

hairspray sales in one month
hairs pray brand a b c d e f
number of containers 68 45 127 93 76 12
a) draw a circle graph to display the data.
b) display the data on one other type of suitable graph.

Explanation:

Step1: Calculate total number of containers

$$\begin{align*} \text{Total}&=68 + 45+127+93+76+12\\ &=(68 + 45)+(127+93)+(76+12)\\ &=113+220+88\\ &=421 \end{align*}$$

Step2: Calculate central angles for each brand

• For brand A: $\frac{68}{421}\times360^{\circ}\approx58^{\circ}$
• For brand B: $\frac{45}{421}\times360^{\circ}\approx39^{\circ}$
• For brand C: $\frac{127}{421}\times360^{\circ}\approx109^{\circ}$
• For brand D: $\frac{93}{421}\times360^{\circ}\approx80^{\circ}$
• For brand E: $\frac{76}{421}\times360^{\circ}\approx65^{\circ}$
• For brand F: $\frac{12}{421}\times360^{\circ}\approx10^{\circ}$

Step3: Draw the circle graph

Use a protractor to draw sectors with the calculated central angles and label each sector with the brand name.

Step4: Choose another graph type (bar graph)

• Draw the x - axis and label it with the brand names (A, B, C, D, E, F).
• Draw the y - axis and label it "Number of Containers".
• For each brand, draw a bar with height equal to the number of containers sold (A: 68, B: 45, C: 127, D: 93, E: 76, F: 12).

Answer:

a) Draw a circle graph with sectors of approximately \(58^{\circ}\) (A), \(39^{\circ}\) (B), \(109^{\circ}\) (C), \(80^{\circ}\) (D), \(65^{\circ}\) (E), and \(10^{\circ}\) (F).
b) Draw a bar graph with bars of heights 68 (A), 45 (B), 127 (C), 93 (D), 76 (E), and 12 (F) corresponding to the brand names on the x - axis.