Question

The table shows the weights of giant pumpkins grown in two towns, Cedartown and Baytown. Match each phrase to its value.

Weight of Cedartown
Pumpkins (pounds) Weight of Baytown
Pumpkins (pounds)
611 584
753 622
575 713.5
685.5 579
718 644
20.2
40
40.2
60.4
575
628.5
668.5
713.5

Answer 1

611 584

753 622

575 713.5

685.5 579

718 644

20.2

40

40.2

60.4

575

628.5

668.5

713.5

Answer 2

The average weight of pumpkins grown in Cedartown = 668.5 and the average weight of pumpkins grown in Baytown = 628.5.

GIVEN -

Weights of Cedartown pumpkins (in pounds)

= 611, 753, 575, 685.5 and 718

&, weights of Baytown pumpkin (in pounds)

= 584, 622, 713.5, 579 and 644

TO FIND -

1. The average weight of pumpkins grown in Cedartown.

2. The average weight of pumpkins grown in Baytown.

SOLUTION -

• 1. The average weight of pumpkins grown in Cedartown.

Using the formula of arithmetic mean -

Mean = sum of the values ÷ total number of the values

∴ average weight of pumpkins grown in Cedartown = total sum of weights of Cedartown pumpkins ÷ total number of values

= ( 611 + 753 + 575 + 685.5 + 718 ) ÷ 5

= 3342.5 ÷ 5

= 668.5

• 2. The average weight of pumpkins grown in Baytown.

Using the formula of arithmetic mean -

Mean = sum of the values ÷ total number of the values

∴ average weight of pumpkins grown in Cedartown = total sum of weights of Cedartown pumpkins ÷ total number of values

= ( 584 + 622 + 713.5 + 579 + 644 ) ÷ 5

= 3142.5 ÷ 5

= 628.5