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A manufacturer of Jeans has plants in California, Arizona and Texas. Twenty-five pairs of Jeans are randomly selected from the computerised database, and the state in which each is produced is recorded.

Table 1.1 Raw Data: States of selected 25 pairs of Jeans

CA AZ AZ TX CA

CA CA TX TX TX

AZ AZ CA AZ TX

CA AZ TX TX TX

CA AZ AZ CA CA

a. Use a pie chart to describe the data.

b. Use a bar chart to describe the data.

c. What proportion of the Jeans are made in Texas?

d. What State produced the most Jeans in the group?

e. If you want to find out which of the three plants produced equal number of Jeans, how can you use the charts from part "a" and "b" to help you? What conclusion can you draw from these data?

1 Answer

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Final answer:

a. Use a pie chart to describe the data. b. Use a bar chart to describe the data. c. The proportion of jeans made in Texas is 36%. d. California and Texas produced the most jeans in the group. e. The bar chart can show which plants produced an equal number of jeans.

Step-by-step explanation:

a. To create a pie chart, we need to count the number of jeans produced in each state. The data shows that there are 9 jeans produced in California, 7 in Arizona, and 9 in Texas. We can now calculate the percentage of jeans produced in each state:

- California: (9/25) x 100% = 36%

- Arizona: (7/25) x 100% = 28%

- Texas: (9/25) x 100% = 36%

b. To create a bar chart, we simply plot the number of jeans produced in each state as vertical bars.

The height of each bar represents the number of jeans produced in that state.

c. To find the proportion of jeans made in Texas, we divide the number of jeans made in Texas by the total number of jeans: 9/25 = 0.36 or 36%.

d. To find the state that produced the most jeans, we compare the number of jeans produced in each state. In this case, both California and Texas produced 9 jeans, while Arizona produced 7 jeans.

Therefore, California and Texas produced the most jeans in the group.

e. To determine which plants produced an equal number of jeans, we can compare the heights of the bars in the bar chart. If the heights are equal, it means that the plants produced an equal number of jeans.

From the bar chart, we can see that the bars for California and Texas have the same height, indicating that these two plants produced an equal number of jeans.

However, the bar for Arizona is shorter, indicating that this plant produced a lower number of jeans compared to the other two.

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