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Given the following data on minutes spent on a specific activity, calculate the average minutes and determine the number of individuals who spent more than 60 minutes.

Mathematics

ScanSolve AI Answer

Answers

2 parts
a

58 minutes\text{58 minutes}

b
16

Step-by-step solution

6 steps

Part a· 4 steps

  1. List all the collected data points and count the total number of observations.

    The data points are:
    50,80,70,58,53,5050, 80, 70, 58, 53, 50
    49,36,76,57,64,5049, 36, 76, 57, 64, 50
    84,71,83,72,78,7584, 71, 83, 72, 78, 75
    84,72,69,49,66,4884, 72, 69, 49, 66, 48
    42,65,8842, 65, 88
    The total number of observations is n=30n = 30.

  2. Calculate the sum of all data points.

    ∑x=50+80+70+58+53+50+49+36+76+57+64+50+84+71+83+72+78+75+84+72+69+49+66+48+42+65+88\sum x = 50+80+70+58+53+50+49+36+76+57+64+50+84+71+83+72+78+75+84+72+69+49+66+48+42+65+88 ∑x=1739\sum x = 1739
  3. Calculate the average (mean) number of minutes.

    The average is given by the formula xˉ=∑xn\bar{x} = \frac{\sum x}{n}.

    xˉ=173930≈57.9667\bar{x} = \frac{1739}{30} \approx 57.9667
  4. Suggest a suitable number of minutes based on the average.

    Based on the average of approximately 57.97 minutes, a suitable number of minutes to be added to the menu would be the closest whole number.
    The suitable number of minutes is 58 minutes\boxed{\text{58 minutes}}.

Part b16

  1. Count the number of people who prefer minutes greater than 60 from the collected data.

    The values greater than 60 are:
    $80, 70, 76, 64, 84, 71, 83, 72, 78, 75, 84, 72, 69, 66, 65, 88$.
    There are 16 such values.

  2. State the estimated number of people.

    The estimated number of people who prefer minutes greater than 60 is 16\boxed{16}.

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