Respuesta :

Considering the problems, we have that:

3. An histogram is recommend, hence option A is correct.

4. The standard deviation for the data-set is of 53.55 billion, hence option A is correct.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed. Hence it is recommended for item 3, as the table gives the number of times each response was observed.

What are the mean and the standard deviation of a data-set?

  • The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.
  • The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

In this problem, the mean is given by:

M = (231 + 104.3 + 87.6 + 126.9 + 131.9 + 105.8 + 136.9 + 43.9)/8 = 121.0375.

Hence the standard deviation is:

[tex]s = \sqrt{\frac{(231-121.0375)^2 + (104.3-121.0375)^2 + (87.6-121.0375)^2 + (126.9-121.0375)^2 + (131.9-121.0375)^2 + (105.8-121.0375)^2 + (136.9-121.0375)^2 + (43.9-121.0375)^2}{8}} \approx 53.55[/tex]

Hence option A is correct.

More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602

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