A quartermaster is recording the number of uniform items issued per day over an 8-day peri… — Armed Services Vocational Aptitude Battery (ASVAB)

A quartermaster is recording the number of uniform items issued per day over an $8$ -day period. The recorded numbers are $24$ , $19$ , $28$ , $17$ , $33$ , $16$ , $20$ , and $27$ . What is the median number of uniform items issued?

22Cevap
B
23
C
25
D
44

Cevap

The median number of uniform items issued is 22.

The correct answer accurately sorts the dataset into numerical order (

16, 17, 19, 20, 24, 27, 28, 33

) and calculates the average of the two middlemost numbers,

20

and

24

, which results in

22

Adım Adım Çözüm

Sort the recorded numbers in ascending numerical order.

The sorted list is:

16, 17, 19, 20, 24, 27, 28, 33

The median is the middle value of an ordered dataset, so ordering is always the first step.

Identify the middle value(s).

Since there are

8

data points (an even number), there are two middle values: the 4th and 5th numbers, which are

20

and

24

An even number of data points does not have a single exact middle number.

Calculate the average (mean) of the two middle values.

\frac{20 + 24}{2} = \frac{44}{2} = 22

The median for an even number of data points is found by taking the mean of the two middlemost values.

Anahtar Kavram

To find the median of a dataset with an even number of values, the data must first be ordered from least to greatest, and then the mean of the two central values must be calculated.

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru