What is the value of m and n

Mathematics

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Answer

m=30m = 30

n=4n = 4

Step-by-step solution

2 steps

Here's how to find the values of mm and nn:

  1. Calculate mm.

    The value mm is the frequency for the height range 125≤h<130125 \le h < 130. This can be found by subtracting the cumulative frequency for h<125h < 125 from the cumulative frequency for h<130h < 130.
    From the table, the cumulative frequency for h<130h < 130 is 70.
    From the previous calculation, p=40p = 40 is the cumulative frequency for h<125h < 125.

    m=70−p=70−40=30m = 70 - p = 70 - 40 = 30
  2. Calculate nn.

    The value nn is the frequency for the height range 140≤h<145140 \le h < 145. This can be found by subtracting the cumulative frequency for h<140h < 140 from the cumulative frequency for h<145h < 145.
    From the table, the cumulative frequency for h<145h < 145 is 100.
    From the previous calculation, r=96r = 96 is the cumulative frequency for h<140h < 140.

    n=100−r=100−96=4n = 100 - r = 100 - 96 = 4

    The values are:
    m=30m = \boxed{30}
    n=4n = \boxed{4}

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