Question

question 18 (5 points)

the weights, in pounds, of a group of dogs are: 18, 36, 16, 46, 55, 12.

calculate the standard deviation. \\(\text{standard deviation} = \sqrt{\frac{\text{sum of (deviations from the mean)}^2}{\text{total number of data items} - 1}}\\)

7.9 pounds
16.2 pounds
17.8 pounds
1579 pounds

question 19 (5 points)

in a study, you ask the subjects their favorite meal. what type of data is this?

Explanation:

Calculate the sample mean

$$ \bar{x} = \frac{18 + 36 + 16 + 46 + 55 + 12}{6} = \frac{183}{6} = 30.5 $$

Compute sum of squared deviations

$$
LATEXBLOCK0
$$

Calculate standard deviation and classify data

$$ s = \sqrt{\frac{1579.5}{6 - 1}} = \sqrt{315.9} \approx 17.77 \approx 17.8\text{ pounds} $$

Favorite meal represents non-numerical categories, which is qualitative (or nominal) data.

Answer:

Question 18

• (A) 7.9 pounds
• (B) 16.2 pounds
• (C) 17.8 pounds (Correct answer)
• (D) 1579 pounds

Question 19

Qualitative (or Nominal) data