Directions: Analyze the data presented in the table below to answer the question.

The following table displays the total volume of smart wearables (Smartwatches and Fitness bands) shipped by five different electronics brands, alongside the ratio of Smartwatches to Fitness bands shipped by each brand.

Brands	Total smart wearables shipped	Smartwatches : Fitness bands
P	700	5:9
Q	850	9:8
R	980	4:3
S	1200	8:7
T	1020	5:7

Determine the average number of smartwatches shipped across all five brands.

The correct answer is 465.

To calculate the average number of smartwatches shipped across all five brands, we first determine the number of smartwatches shipped by each brand using their total shipment volume and the given ratio of Smartwatches to Fitness bands.

Step 1: Calculate smartwatches shipped by Brand P

Total volume shipped = 700

Ratio (Smartwatches : Fitness bands) = 5 : 9

Total ratio parts = 5 + 9 = 14

$\text{Smartwatches (P)}=700\times \frac{5}{14}=250$

Step 2: Calculate smartwatches shipped by Brand Q

Total volume shipped = 850

Ratio (Smartwatches : Fitness bands) = 9 : 8

Total ratio parts = 9 + 8 = 17

$\text{Smartwatches (Q)}=850\times \frac{9}{17}=450$

Step 3: Calculate smartwatches shipped by Brand R

Total volume shipped = 980

Ratio (Smartwatches : Fitness bands) = 4 : 3

Total ratio parts = 4 + 3 = 7

$\text{Smartwatches (R)}=980\times \frac{4}{7}=560$

Step 4: Calculate smartwatches shipped by Brand S

Total volume shipped = 1200

Ratio (Smartwatches : Fitness bands) = 8 : 7

Total ratio parts = 8 + 7 = 15

$\text{Smartwatches (S)}=1200\times \frac{8}{15}=640$

Step 5: Calculate smartwatches shipped by Brand T

Total volume shipped = 1020

Ratio (Smartwatches : Fitness bands) = 5 : 7

Total ratio parts = 5 + 7 = 12

$\text{Smartwatches (T)}=1020\times \frac{5}{12}=425$

Step 6: Find the total number of smartwatches shipped

$\text{Total Smartwatches}=250+450+560+640+425=2325$

Step 7: Find the average number of smartwatches shipped

$\text{Average}=\frac{2325}{5}=465$

Therefore, the average number of smartwatches shipped across all five brands is 465.