A multiple choice question on an exam has four possible responses—(A), (B), (C),
ID: 3366981 • Letter: A
Question
A multiple choice question on an exam has four possible responses—(A), (B), (C), and (D). When 230 students take the exam, 46 give response (A), 46 give response (B), 69 give response (C), and 69 give response (D).
Write out the frequency distribution, relative frequency distribution, and percent frequency distribution for these responses. (Round your relative frequency answers to 1 decimal place. Omit the "%" sign in your response.)
The randomly selected 60 shoppers have rated a new bottle design for a popular soft drink. The data are given below.
(a) Find the number of classes that should be used to construct a frequency distribution and histogram for the bottle design ratings. (From Table 2.5).
Number of classes
(b) Find the class length. (Round your answer to the next whole number.)
Class length
(d) Tally the number of ratings in each class and develop a frequency distribution. (Round your midpoint values to 1 decimal place.)
(e-1) Choose the frequency histogram for the ratings data.
(e-2) Distribution shape is skewed left.
False
A multiple choice question on an exam has four possible responses—(a), (b), (c), and (d). When 250 students take the exam, 100 give response (a), 25 give response (b), 75 give response (c), and 50 give response (d). Consider constructing a pie chart for the exam question responses.
(a) How many degrees (out of 360) would be assigned to the "pie slice" for the response (a)?
Pie slice degrees
(b) How many degrees would be assigned to the "pie slice" for response (b)?
Pie slice degrees
Frequency Distributions for Student Responses Category / Class Frequency RelativeFrequency Percent Frequency A % B % C % D %
The randomly selected 60 shoppers have rated a new bottle design for a popular soft drink. The data are given below.
(a) Find the number of classes that should be used to construct a frequency distribution and histogram for the bottle design ratings. (From Table 2.5).
Number of classes
(b) Find the class length. (Round your answer to the next whole number.)
Class length
(d) Tally the number of ratings in each class and develop a frequency distribution. (Round your midpoint values to 1 decimal place.)
(e-1) Choose the frequency histogram for the ratings data.
(e-2) Distribution shape is skewed left.
TrueFalse
A multiple choice question on an exam has four possible responses—(a), (b), (c), and (d). When 250 students take the exam, 100 give response (a), 25 give response (b), 75 give response (c), and 50 give response (d). Consider constructing a pie chart for the exam question responses.
(a) How many degrees (out of 360) would be assigned to the "pie slice" for the response (a)?
Pie slice degrees
(b) How many degrees would be assigned to the "pie slice" for response (b)?
Pie slice degrees
42086420 NouanbayExplanation / Answer
(a). The lowest rank is 25 and the highest rank is 37. the difference between them is 12. Empirically if we take class lengths as 2 unit approx., then we have approximately 7 classes. One can check out this awesome formula,
K= 1+3.322Log N, where K is the no of class and N is the total no. of observations.
So, here we take 7 classes which will be named later.
(b). class length (l)= range/ total no of class taken;
So here l= 12/7=2 (rounded off to next integer).
(d)
e-1. The 2nd histogram would be an appropriate one.
a. pie slice (a) degrees 144
b. pie slice (b) degrees 36
CATEGORY FREQUENCY RELATIVE FREQUENCY PERCENTAGE FREQUENCY A 46 0.2 20 B 46 0.2 20 C 69 0.3 30 D 69 0.3 30Related Questions
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