Question

(a) Determine the mode candidate. A sample of 20 registered voters was surveyed in which the respondents were asked, "Do you think Chang, Johnson, Ohm, or Smith is most qualified to be a senator?" The results of the survey are shown in the table. Smith Chang Chang Chang Smith Ohm Ohm Ohm Smith Smith Ohm Ohm Smith Smith Ohm Johnson Chang Chang Smith Smith Smith Johnson Ohm оооо Johnson (b) Do you think it would be a good idea to rotate the candidate choices in the question? Why? Complete parts (a) and (b) to the right. O A. Yes, to confuse the respondents O B. Yes, to make the resulting counts all closer to each other O C. Yes, to avoid response bias OD. There is no need to rotate the choices.

Answer 1

#1) Mode is most repeated candidate

a) Smith repeated 8 times , therefore mode candidate is Smith

b) Yes, to avoid response bias

#2)

a) Mean = $\frac{\sum x}{n}$ ;  $\sum x$ is total of all numbers in the data set and n is count of the data set

= 785.4/8

Mean time = 98.18

b) Median is middle most number in the ascending order.

First we need to arrange the data in increasing order from smallest to largest.

There are 8 data points , so median would be the average of 4th and 5th number in the order

1 2 3 4 65.1 74.3 0.8 4.7 102.1 106.3 123.7 128.4 5 98.4 6 7 CD

Median = ( 94.7+102.1) / 2

Median time = 98.4

c) Mode is most repeated or frequent number in the data set.

There is no repeated number in the data set

The mode does not exists.