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Which learners picked up the modal number of counters?

Mathematics

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2, question 2:

2. Some Grade 5 learners did an experiment to see how many counters they could pick up in one hand. These are their results:

LearnerCountersLearnerCountersLearnerCountersLearnerCountersLearnerCounters
Vusi18Pumla18Carol17Mandy12Palesa11
Tiny16Sihle13Jess18Josh16Nina18
Noni15Kobus15Peter14Simeon18Helene17
Petrus17Ziggy18Saul16Zanele12Julius12

Part a· 2 steps

Arrange the results in order from smallest to largest.

  1. List all the numbers of counters

    $18, 18, 17, 12, 11, 16, 13, 18, 16, 18, 15, 15, 14, 18, 17, 17, 18, 16, 12, 12$.

  2. Arrange them in ascending order.

    11, 12, 12, 12, 13, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 18\boxed{\text{11, 12, 12, 12, 13, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 18}}

Part b· 2 steps

How many learners could hold less than 15 counters?

  1. From the ordered list, identify numbers less than 15

    $11, 12, 12, 12, 13, 14$.

  2. Count these numbers.

    6 learners\boxed{\text{6 learners}}

Part c· 2 steps

How many learners could hold 16 or more counters?

  1. From the ordered list, identify numbers that are 16 or greater

    $16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 18$.

  2. Count these numbers.

    12 learners\boxed{\text{12 learners}}

Part d· 1 step

What is the modal number of counters?

  1. Identify the number that appears most frequently in the ordered list.

    The number 18 appears 6 times, which is more than any other number.

    18 counters\boxed{\text{18 counters}}

Part e· 1 step

Which learners picked up the modal number of counters?

  1. Identify the learners who picked up 18 counters from the original table.

    Vusi, Pumla, Jess, Nina, Simeon, Ziggy\boxed{\text{Vusi, Pumla, Jess, Nina, Simeon, Ziggy}}
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