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Practice: presenting data

Practice: presenting data

1

A large company has 2,500 employees.
300 of them were asked how they get to work, and how many minutes the journey takes them.

a

What are the population and the sample? Which two variables were checked, and what kind is each of them?

b

What percent of the company’s employees were asked?

    / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

    / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

    2

    The number of goals a football team scored in each of its 30 matches in the season:

    Number of goals012345
    Number of matches498531
    a

    What is the relative frequency of the matches with 2 goals? Write it as a fraction in its lowest terms.

      / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

      / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

      b

      In how many matches did the team score at most 2 goals?

        / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

        / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

        c

        In what percent of the matches did the team score 3 goals or more?

          / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

          / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

          3

          A family’s spending in one month, in shekels:

          SpendingHousingFoodTransportLeisureOther
          Sum4,2003,0001,8001,2001,800

          The spending is to be shown in a pie chart.

          a

          What is the angle of the slice “Housing”, in degrees?

            / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

            / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

            b

            What is the angle of the slice “Food”, in degrees?

              / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

              / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

              c

              What percent of the spending is on leisure?

                / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

                4

                A survey asked parents of young new drivers how necessary, in their view, the law requiring a companion is:

                01020304050Very necessaryNecessaryA little necessaryNot necessaryThe parents' viewPercent of the parents45301510
                a

                What is the variable, and what kind is it?

                b

                What percent of the parents think the law is necessary or very necessary?

                  / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                  / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

                  c

                  Could these data be shown in a pie chart too? Explain.

                  5

                  The waiting time to see the doctor of 50 patients at a clinic, in minutes:

                  0510152001020304050Waiting time (minutes)Patients12181163
                  a

                  How many patients waited 20 minutes or more?

                    / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                    / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

                    b

                    What percent of the patients waited less than 10 minutes?

                      / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                      / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

                      c

                      The class 40–50 holds three patients. Can you tell the longest waiting time? Explain.

                      6

                      In how many households, out of every 100, there is a smartphone, and in how many a landline:

                      0204060801002010201520202025YearHouseholds out of 1003060859580654530SmartphoneLandline
                      a

                      In 2025, what is the difference between the number of households, out of 100, with a smartphone and the number with a landline?

                        / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                        / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

                        b

                        Describe the trend of each graph. Between which two years of the graph was the number of households with a smartphone equal to the number with a landline?

                        7

                        The eye colour of 200 students was checked:

                        Eye colourBrownGreenBlueOther
                        Relative frequency55%15%20%10%
                        a

                        How many students have blue eyes?

                          / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                          / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

                          b

                          In a pie chart of the data, what is the angle of the slice “Green”, in degrees?

                            / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                            / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

                            c

                            Which charts suit these data, and which do not? Explain.