A culinary instructor is reviewing the final exam scores of six students to determine the … — Armed Services Vocational Aptitude Battery (ASVAB)

A culinary instructor is reviewing the final exam scores of six students to determine the middle performance level of the class. The scores recorded are $84$ , $72$ , $90$ , $76$ , $88$ , and $64$ . What is the median score of this group of students?

A
$79$
$80$ Cevap
C
$83$
D
$118$

Cevap

The median score is

80

To find the median, the values must first be arranged in numerical order:

64

72

76

84

88

90

. Because there are six numbers (an even amount), the median is the average of the two central numbers,

76

and

84

. Adding them together yields

160

, and dividing by

2

gives a median of

80

Adım Adım Çözüm

Sort the given scores from least to greatest.

64

72

76

84

88

90

The median is the exact middle value of an ordered dataset, making sorting the mandatory first step.

Identify the middle value(s) of the sorted list.

The middle two values are

76

and

84

Since there is an even number of data points (

6

), there is no single middle value. The median position falls exactly between the 3rd and 4th values.

Calculate the average of the two middle values.

\frac{76 + 84}{2} = \frac{160}{2} = 80

The median of a dataset with an even number of values is the arithmetic mean of the two central values.

Anahtar Kavram

Median of a Dataset with an Even Number of Values

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Soru

Cevap

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