You attempt an obstacle course five times. The table shows the amounts of time that it takes you to complete the course on your first four attempts. For what values of x will you have a mean time no greater than 150 seconds?

THIS IS THE TABLE.

Time (seconds)
136 127 154 166 x

Respuesta :

You first multiply 150 by 5 to get 750. Then you add 136, 127, 154, and 166 together. This would give you 583. Then you subtract 583 from 750 to get 167. This means to get no greater than 150 for a mean, you need to get 167 seconds or less.

The mean of a distribution is the average of the distribution

The values of x are not more than 167

The table entry is given as:

  • 136 127 154 166 x

Start by calculating the mean value of the table entry

[tex]Mean = \frac{136 + 127+ 154+ 166+ x}{5}[/tex]

[tex]Mean = \frac{583+ x}{5}[/tex]

The mean is said to be no greater than 150.

So, we have:

[tex]\frac{583+ x}{5} \le 150[/tex]

Multiply both sides by 5

[tex]583+ x \le 750[/tex]

Subtract 583 from both sides

[tex] x \le 167[/tex]

Hence, the values of x are not more than 167

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