Match its group with its percentage or mean using the table below. number fish length to the nearest inch description 1 12 adult 2 5 juvenile 3 3 juvenile 4 5 adult 5 8 adult 6 2 juvenile 7 10 adult 8 9 juvenile 9 4 juvenile 10 4 juvenile 1. mean length of all fish in the sample 4.5 2. mean length of adult fish in the sample 6.2 3. mean length of juvenile fish in the sample 8.75 4. percentage of sample that were adult fish 10.0 5. percentage of sample that were juvenile fish 40.0 6. percentage of sample that were juveniles over 8 inches long 60.0

Question:

Match its group with its percentage or mean using the table below.

Answer:

(1)

Mean length of all fish in the sample -

Mean = (Sum of observations)/(Number of observations)

= (12 + 5 + 3 + 5 + 8 + 2 + 10 + 9 + 4 + 4)/(10)

= 62/10

= 6.2

(2)

Mean length of adult fish in the sample -

Mean = (Sum of observations)/(Number of observations)

= (12 + 5 + 8 + 10)/(4)

= 35/4

= 8.75

(3)

Mean length of juvenile fish in the sample -

Mean = (Sum of observations)/(Number of observations)

= (5 + 3 + 2 + 9 + 4 + 4)/(6)

= 27/6

= 4.5

(4)

Percentage of sample that were adult fish -

Percentage = (No. of adult fishes)/(Total no. of fishes) × 100

% = (4/10) × 100

% = 40

(5)

Percentage of sample that were juvenile fish -

Percentage = (No. of juvenile fishes)/(Total no. of fishes) × 100

% = (6/10) × 100

% = 60

(6)

Percentage of sample that were juveniles over 8 inches long -

Percentage = (No. of juveniles over 8 inches)/(Total no. of fishes) × 100

% = (1/10) × 100

% = 10