John has taken six quizzes in his statistics class. His
scores on these quizzes are listed below.
71, 75, 76, 80, 85, 87
He finds that the mean is 79.0 and the median is 78.0 for these six quiz scores. If John earns a 100% on thenext exam, what will the new mean and median be?
The new mean will be 82.0 and the new median will
be 78.0.
The new mean will be 82.0 and the new median will
be 80.0.
The new mean will be 89.5 and the new median will
be 78.0.
The new mean will be 89.5 and the new median will
be 80.0

Respuesta :

Answer:

the new mean will be 82 and the new median will be 80

Step-by-step explanation:

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fichoh

The new mean will be 82.0 and the new median will

be 80.0

Given the scores : 71, 75, 76, 80, 85, 87

Arranging the values on ascending order :

71, 75, 76, 80, 85, 87

Obtaining a score of 100 in the 7th quiz, the scores becomes :

71, 75, 76, 80, 85, 87, 100

The mean : ΣX/ n

The mean = (71+75+76+80+85+87+100) / 7 = 574 / 7 = 82

The median = 1/2(n+1)th term.

The median = 1/2(7+1)th term

The median = 4th term

The 4th term in the distribution is = 80

Hence, the mean value = 82 and the median is 80

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