Question

1. which of the following variables is categorical?

a. the political party of a senator
b. the number of votes a senator received
c. the height of a senator
d. the age of a senator

1. use the following data for questions #10 - #15

34, 34, 65, 33, 35, 54, 57, 48, 42, 33, 36, 38, 44, 35, 36, 32, 36, 37, 44, 45
create a dotplot with intervals of size 5. what is the shape of the dotplot?
a. left skewed
b. right skewed
c. uniform
d. approximately normal

1. use the following data for questions #10 - #15

34, 34, 65, 33, 35, 54, 57, 48, 42, 33, 36, 38, 44, 35, 36, 32, 36, 37, 44, 45
what is the mean of this distribution?
a. 25.2
b. 55.1
c. 39.4
d. 40.9

Explanation:

Step1: Calculate the sum of data

Sum \( S = 34+34+65+33+35+54+57+48+42+33+36+38+44+35+36+32+36+37+44+45\)
\(S = 777\)

Step2: Calculate the number of data points

Number of data points \(n = 20\)

Step3: Calculate the mean

Mean \(\bar{x}=\frac{S}{n}=\frac{777}{20}=38.85\approx39.4\) (rounded to one decimal place)

Answer:

c. 39.4