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Review: data and chance

Review: data and chance

1

20 pupils answered the question “How many pets do you have at home?”:

Pets0123
Frequency5843
a

What is the mode?

    / – 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 the pupils with no pet? 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

      How many pets does a pupil have, on average?

        / – 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 chart shows how many pupils visited the school library on each day of one week.

        01020304050SunMonTueWedThuDayVisitors
        a

        On which day did the most pupils visit the library?
        Between which two days was the biggest drop?

        b

        How many pupils visited the library a day, on average?

          / – 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

          Seven people waited at a stop for the bus.
          Their waiting times, in minutes: 2, 3, 3, 4, 5, 6, 40

          a

          Work out the mean waiting time.

            / – 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

            Find the median and the mode.

            Median

              / – 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

              Mode

                / – 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 bus company wrote: “The mean waiting time at the stop is 9 minutes.”
                Does this number describe well how long most people waited? Explain.

                4

                Over 60 school days the school lift was out of order on 3 days.
                By the data, what is the chance that the lift is out of order tomorrow? 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

                  5

                  A die is rolled.
                  What is the chance of each event?
                  Write each chance as a fraction in its lowest terms.

                  a

                  A number divisible by 3 comes up.

                    / – 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

                    A number other than 6 comes up.

                      / – 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

                      6

                      A bag holds 5 red marbles, 3 blue and 2 green, all the same size.
                      One marble is taken out without looking.

                      a

                      What is the chance that the marble is green?

                        / – 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 chance that the marble is not red?

                          / – 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

                          Avi took 24 penalty kicks, and scored 18 of them.
                          Beni took 20 penalty kicks, and scored 14 of them.
                          Who should take the next penalty kick? Explain.

                          8

                          A spinner has several coloured parts, and you cannot see their sizes.
                          It was spun 400 times: the arrow stopped on red 205 times, on blue 98 times, and on yellow 97 times.
                          Estimate the chance of each colour.
                          How do you think the spinner is divided?

                          9

                          Tamar tossed a coin 5 times, and every toss came up tails.
                          Tamar says: “The next toss will surely come up heads.”
                          Is Tamar right? Explain.