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Review: data and probability

Review: data and probability

1

You want to know how long a day the pupils of the grade spend in front of a screen.
Write a good survey question, and say whom it is best to ask.

2

The pupils of two classes were asked whether they like mathematics:

YesNoTotal
7A211435
7B18624
a

What part of class 7A said “yes”? Write it as a percentage.

    / – 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 part of class 7B said “yes”? Write it as a percentage.

      / – 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 which class does a larger part of the pupils like mathematics?

      3

      The heights of 25 seedlings were measured in centimetres:

      Height (cm)0–45–910–1415–19
      Frequency3985
      a

      What is the relative frequency of the group 5–9? Write it as a percentage.

        / – 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 part of the seedlings are 10 cm tall or more? Write it as a percentage.

          / – 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

          60 pupils chose a club: 18 chose sport, 12 music, 6 art, and 24 computers.
          The percentages are not written on the pie chart:

          SportMusicArtComputers
          a

          What is the relative frequency of computers? Write it as a percentage.

            / – 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 relative frequency of sport? Write it as a decimal.

              / – 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

              5

              The chart shows the number of visitors to the library in two months:

              500505510515520525530535JanuaryFebruaryVisitors

              Noa says: “There were three times as many visitors in February.”
              Is Noa right? Explain.

              6

              A goalkeeper saved 45 of the 180 penalties taken against him.

              a

              Estimate the probability that he saves the next penalty. Write it as a decimal.

                / – 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

                About how many penalties out of 40 will he save?

                  / – 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

                  7

                  The probability of winning with a scratch card is 5%.
                  2,000 cards were sold.
                  About how many of them will win?

                    / – 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

                    8

                    Maya dropped a drawing pin 6 times, and every time it landed on its back.
                    Maya says: “Landing on its back is a certain event.”
                    Is Maya right? Explain.