The box plot shows the distribution of the salaries for the workers at Bexbridge Biscuits. (a) State the median salary. (b) Find the interquartile range. (c) The following salary information is true for workers at Camford Cookies. - The highest paid worker earns £85,000. - The lowest paid worker earns 20% of the salary of the highest paid worker. - 25% of the workers earn more than £50,000. - 25% of the workers earn less than £28,000. - The median salary is £37,000. Draw a box plot to show the salaries of the workers at Camford Cookies. (d) Make two different comparisons between the distribution of the salaries at Bexbridge Biscuits and the salaries at Camford Cookies.

GCSE OCR Maths Percentages: The box plot shows the distribut

The box plot shows the distribution of the salaries for the workers at Bexbridge Biscuits - OCR - GCSE Maths - Question 16 - 2018 - Paper 1

Question 16

The box plot shows the distribution of the salaries for the workers at Bexbridge Biscuits. (a) State the median salary. (b) Find the interquartile range. (c) The ... show full transcript

Worked Solution & Example Answer:The box plot shows the distribution of the salaries for the workers at Bexbridge Biscuits - OCR - GCSE Maths - Question 16 - 2018 - Paper 1

Step 1

State the median salary.

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Answer

The median salary of the workers at Bexbridge Biscuits is £37,000. This can be observed directly from the box plot, where the line inside the box indicates the median.

Step 2

Find the interquartile range.

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Answer

The interquartile range (IQR) is calculated as the difference between the upper quartile and the lower quartile. From the box plot:

Lower Quartile (Q1) = £28,000
Upper Quartile (Q3) = £50,000

Thus, the IQR is calculated as follows:

$IQR = Q3 - Q1 = 50,000 - 28,000 = £22,000$

Step 3

Draw a box plot to show the salaries of the workers at Camford Cookies.

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Answer

To draw the box plot for Camford Cookies, note the following values:

Lower Quartile (Q1) = £28,000
Median = £37,000
Upper Quartile (Q3) = £50,000
Maximum = £85,000
Minimum = £17,000 (which is 20% of the highest salary, £85,000)

The box plot will reflect these values accordingly.

Step 4

Make two different comparisons between the distribution of the salaries at Bexbridge Biscuits and the salaries at Camford Cookies.

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Answer

The median salary at Bexbridge Biscuits (£37,000) is the same as the median salary at Camford Cookies.
The interquartile range for Bexbridge Biscuits (£22,000) is the same as that for Camford Cookies, indicating that the spread of the middle 50% of salaries is similar in both distributions.

The box plot shows the distribution of the salaries for the workers at Bexbridge Biscuits - OCR - GCSE Maths - Question 16 - 2018 - Paper 1

Worked Solution & Example Answer:The box plot shows the distribution of the salaries for the workers at Bexbridge Biscuits - OCR - GCSE Maths - Question 16 - 2018 - Paper 1

State the median salary.

Find the interquartile range.

Draw a box plot to show the salaries of the workers at Camford Cookies.

Make two different comparisons between the distribution of the salaries at Bexbridge Biscuits and the salaries at Camford Cookies.

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