A logistics officer is analyzing data from various base operations. Match each statistical… — Armed Services Vocational Aptitude Battery (ASVAB)

A logistics officer is analyzing data from various base operations. Match each statistical description on the left with its correctly calculated value on the right.

The mean weight, in pounds, of five crates weighing $45$ , $60$ , $55$ , $40$ , and $50$ . $50$
The median of six daily supply requests recorded as $12$ , $18$ , $14$ , $22$ , $15$ , and $20$ . $16.5$
The target value needed as a fifth shipment to achieve a mean of $25$ , given prior shipments of $20$ , $24$ , $28$ , and $22$ . $31$
The mode of vehicle repair times, in hours, logged as $4$ , $3$ , $6$ , $4$ , $5$ , $8$ , and $4$ . $4$

Cevap

The mean crate weight matches with 50, the median supply request matches with 16.5, the missing shipment for a target mean matches with 31, and the mode of repair times matches with 4.

Each pairing correctly applies the fundamental rules of mean, median, mode, and algebraic representation of statistical targets. The calculations strictly follow the rules for measures of central tendency.

Adım Adım Çözüm

Calculate the mean for the first description.

(45 + 60 + 55 + 40 + 50) / 5 = 50

The mean is the arithmetic average of a data set.

Calculate the median for the second description.

Sorted list:

12, 14, 15, 18, 20, 22

. Average of middle two:

(15 + 18) / 2 = 16.5

The median is the middle value of an ordered set, or the average of the two middle values for an even number of items.

Calculate the missing value for the third description.

125 - (20 + 24 + 28 + 22) = 31

The sum of all values must equal the target mean multiplied by the total number of values.

Identify the mode for the fourth description.

The number

4

appears three times.

The mode is the most frequent value in a data set.

Anahtar Kavram

Measures of Central Tendency

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

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