Examkin

Soru

Zorluk: OrtaMeasures of Central Tendency

A logistics manager is tracking the number of supply crates shipped each week. Over the first four weeks of a five-week period, the facility shipped 1313, 2727, 1818, and 2626 crates. How many crates must be shipped in the fifth week to achieve an average (mean) of 2424 crates per week for the entire five-week period?

  1. A
    1212
  2. B
    2121
  3. C
    2222
  4. 3636Cevap

Cevap

The facility must ship 3636 crates in the fifth week.
To find a missing value when the mean is known, first determine the total sum required. An average of 24 over 5 weeks means the total crates shipped must equal 120 (24 × 5). Since 84 crates were shipped in the first four weeks (13 + 27 + 18 + 26), 36 more crates are needed in the final week (120 - 84) to meet the goal.

Adım Adım Çözüm

1
Calculate the total number of crates needed for all 55 weeks.
24×5=12024 \times 5 = 120
The mean formula is (total sum) ÷ (number of values). Therefore, the required total sum is the target mean multiplied by the total number of weeks.
2
Calculate the sum of the crates shipped in the first 44 weeks.
13+27+18+26=8413 + 27 + 18 + 26 = 84
This determines how many crates have already been accounted for in the total.
3
Subtract the sum of the first 44 weeks from the target total to find the missing value.
120−84=36120 - 84 = 36
The difference between the required total and the current total is the value needed for the final week.

Anahtar Kavram

Solving for a Missing Data Point Given the Mean
Bu soruyu puanla

Konular

Measures of Central Tendency

Bu konudan daha fazla soru