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Part 1

A small animal veterinarian reviews her records for the day and notes that she has seen eight dogs and eight cats with the following weights​ (in pounds).

​Dogs:

1515​,

2222​,

3838​,

4444​,

5656​,

6161​,

7575​,

102102

​Cats:

44​,

44​,

66​,

99​,

1212​,

1616​,

1717​,

2121

a. Before analyzing these data​ sets, make a conjecture about which set has the larger​ mean, median, and standard deviation. Explain your reasoning.

b. Compute the mean and standard deviation of each set.

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Part 1

a. Make correct conjectures below about which set has the larger​ mean, median, and standard deviation. Choose the correct answer below.

A.

The​ mean, median, and standard deviation are all higher for dogs because most of the weights are​ larger, so the average​ value, middle​ value, and spread must be larger.

B.

The​ mean, median, and standard deviation are all higher for cats because there is less variation in the​ weights, so the average​ value, middle​ value, and spread must be larger.

C.

The mean and median are higher for cats because there is less variation in the weights. The standard deviation is higher for dogs because there is more variation in the weights.

D.

The mean and median are higher for dogs because most of the weights are​ larger, so the average value and middle value must be larger. The standard deviation is higher for cats because there is more variation in the weights.