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John looked up the number of men and women in Ireland working in 5 different types of job in 2016 - Junior Cycle Mathematics - Question 6 - 2019

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Question 6

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John looked up the number of men and women in Ireland working in 5 different types of job in 2016. The jobs are labelled A, B, C, D, and E. All of the numbers were r... show full transcript

Worked Solution & Example Answer:John looked up the number of men and women in Ireland working in 5 different types of job in 2016 - Junior Cycle Mathematics - Question 6 - 2019

Step 1

How many men had job A?

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Answer

From the diagram, it is noted that the number of men working in job A is 60,000.

Step 2

How many women had job D?

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Answer

According to the diagram, the number of women working in job D is 110,000.

Step 3

How many people in total had job B?

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Answer

The total number of people working in job B can be found by adding the number of men and women in job B:

Men in job B: 90,000 Women in job B: 80,000

Thus, the total is given by: 90,000+80,000=170,00090{,}000 + 80{,}000 = 170{,}000

Step 4

The job with the greatest number of men was job

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Answer

The job with the greatest number of men was job B.

Step 5

Almost all of the people with job were men.

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Answer

Almost all of the people with job D were men.

Step 6

Draw two bars on the diagram to show the number of men and women who had job E.

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Answer

For job E, men had 40,000 and women had 80,000. Bars should reflect these values appropriately on the diagram.

Step 7

Put a tick (✓) in the correct box to show which of the following is closest to John’s answer.

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Answer

The probability that a randomly chosen person from job C is a woman is estimated to be 0-5 since the ratio of women to men in job C appears to be around 50:50.

Step 8

Write down the probability that this person is a woman.

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Answer

The ratio of men to women is given as 7:3, meaning that the probability of selecting a woman at random is:

P(Woman) = rac{3}{7 + 3} = rac{3}{10}

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