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GCSE (1 – 9) Averages from Frequency Tables
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GCSE (1 – 9) Averages from Frequency Tables

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@ProdigiousBigBen

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Questions and Answers

What is the mean number of points scored per game in the first table?

  • 1.9
  • 1.7
  • 1.8 (correct)
  • 2.0
  • If the football team scored a total of 55 goals, what is the value of x in the second table?

  • 18 (correct)
  • 12
  • 20
  • 15
  • What is the median number of goals scored by the team in the third table?

  • 2.5
  • 1.5
  • 2
  • 1 (correct)
  • What is the mode of the number of goals scored by the team in the third table?

    <p>1</p> Signup and view all the answers

    What is the total number of goals scored by the team in all 38 games in the third table?

    <p>72</p> Signup and view all the answers

    If the median of the goals scored is 1, what fraction of the games did the team score 2 or more goals?

    <p>$\frac{17}{38}$</p> Signup and view all the answers

    What is the estimated mean maximum temperature based on the given frequency table?

    <p>21°C</p> Signup and view all the answers

    What percentage of people traveled for more than 30 minutes to the event?

    <p>47%</p> Signup and view all the answers

    Which class interval contains the median travel time to the event?

    <p>30 &lt; t ≤ 40 minutes</p> Signup and view all the answers

    What is the estimated mean travel time to the event?

    <p>31 minutes</p> Signup and view all the answers

    What is the modal class interval for the hours of homework done by students?

    <p>3 to 5 hours</p> Signup and view all the answers

    What is the estimated mean number of hours of homework done by students?

    <p>7 hours</p> Signup and view all the answers

    What is the modal class interval for the heights of Adam's tomato plants?

    <p>170 &lt; h ≤ 180</p> Signup and view all the answers

    If the heights of Adam's tomato plants are grouped into classes of equal width, what is the class width?

    <p>20 cm</p> Signup and view all the answers

    Why is the estimate for the mean height of Adam's tomato plants an estimate and not an exact value?

    <p>The heights are grouped into class intervals, so the exact values are not known.</p> Signup and view all the answers

    What is the class interval that contains the median time for the 20 people to run 5 km?

    <p>25 &lt; t ≤ 30</p> Signup and view all the answers

    What is the estimate for the mean time taken by the 20 people to run 5 km?

    <p>25.0 minutes</p> Signup and view all the answers

    If the maximum temperatures in September are grouped into classes of equal width, what is the class width?

    <p>10°C</p> Signup and view all the answers

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