By default, your numerical entry is scored as correct if it is within 1% of the correct answer. A rule of thumb is always to enter at least 3 digits for numerical questions. If the correct answer is 7.80009, which of the following entries would be counted as correct? That is, which entries are within WebAssign's default tolerance? (Select all that apply.)
7.80   7.6363   7.6  7.96   7.730   7.8703

Respuesta :

1) Multiply the correct answer by 1% => 7.80009 * 1/100 = 0.0780009

2) Calculate minimum and maximum values:

a) Maximum: 7.80009 + 0.0780009 = 7.8780909

b) Minimum: 7.80009 - 0.0780009 = 7.7220891

3) Valid range: [7.7220891, 7.8780909]

4) Conclusion: 7.80, 7.730 and 7.80703 are inside the range and are inside the tolerance, while 7.6363, 7.6 and 7.76 are not.

The entries that are within the default tolerance are ; ( A, E and F )

  • 7.80
  • 7.730
  • 7.8703

Given that the numerical entry within 1% of the correct value is a valid entry.

First step : Determine the allowable minimum and maximum values

Minimum value = ( 7.80009 ) - ( 1% * 7.80009 )

                          = 7.7220891

Maximum value = ( 7.80009 ) + ( 1% * 7.80009 )

                          = 7.8780909.

∴ The allowable range where the correct answers should fall in is ;

( 7.7220891,   7.8780909 )

And The numbers that fall within the allowable range are ; 7.80 , 7.730 and 7.8703.

Hence we can conclude that the entries within the default tolerance are; 7.80 , 7.730, 7.8703 .

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