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The table shows the amount of snow, in cm, that fell each day for 30 days - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 1

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The table shows the amount of snow, in cm, that fell each day for 30 days. | Amount of snow (s cm) | Frequency | |-----------------------|-----------| | 0 ≤ s < 10 ... show full transcript

Worked Solution & Example Answer:The table shows the amount of snow, in cm, that fell each day for 30 days - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 1

Step 1

Calculate the midpoints of each interval

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Answer

To estimate the mean, we first find the midpoints of each interval:

  • For 0 ≤ s < 10, midpoint = (0 + 10) / 2 = 5
  • For 10 ≤ s < 20, midpoint = (10 + 20) / 2 = 15
  • For 20 ≤ s < 30, midpoint = (20 + 30) / 2 = 25
  • For 30 ≤ s < 40, midpoint = (30 + 40) / 2 = 35
  • For 40 ≤ s < 50, midpoint = (40 + 50) / 2 = 45

Step 2

Multiply midpoints by frequency

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Answer

Next, we multiply each midpoint by its corresponding frequency:

  • 5 * 8 = 40
  • 15 * 10 = 150
  • 25 * 7 = 175
  • 35 * 2 = 70
  • 45 * 3 = 135

Step 3

Sum the total and divide by total frequency

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Answer

Now, sum the products:

Total = 40 + 150 + 175 + 70 + 135 = 570

Now, we divide by the total frequency to find the mean:

Total frequency = 8 + 10 + 7 + 2 + 3 = 30

Mean = Total Sum / Total Frequency = 570 / 30 = 19

Thus, the estimated mean amount of snow per day is 19 cm.

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