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The table shows the types of customer complaints received by an online business in a month - HSC - SSCE Mathematics Standard - Question 19 - 2022 - Paper 1

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The table shows the types of customer complaints received by an online business in a month. Type of complaint Frequency Cumulative frequency Cumulative percentage S... show full transcript

Worked Solution & Example Answer:The table shows the types of customer complaints received by an online business in a month - HSC - SSCE Mathematics Standard - Question 19 - 2022 - Paper 1

Step 1

What are the values of A and B?

96%

114 rated

Answer

To find the value of A, we calculate the cumulative frequency for 'Delivery fee':

A=98+62=160A = 98 + 62 = 160

Next, we calculate the value of B, using the cumulative percentage formula:

B=192200×100%=96%B = \frac{192}{200} \times 100\% = 96\%

Step 2

Which types of complaints will the manager address?

99%

104 rated

Answer

The manager will address the types of complaints that make up 80% of the total.

From the Pareto chart, the types of complaints contributing to 80% are:

  • Stock shortage
  • Delivery fee

Therefore, the manager will address 'Stock shortage' and 'Delivery fee'.

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