QUESTION IMAGE
Question
the accompanying data are the weights in pounds and the number of hours slept in a day by 11 - year - old boys. construct a frequency distribution. use a class width of 8 hours. do the data amounts appear to have a normal distribution? examine the data and identify anything appearing to be unique. (click the icon to view the frequency table.)
do the data amounts appear to have a normal distribution?
a. no, because the frequencies start at a maximum and become low, and because the distribution is not symmetric.
b. yes, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency and the distribution is approximately symmetric.
c. no, because while the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, the distribution is not symmetric.
d. no, because while the distribution is approximately symmetric, the frequencies start at a maximum and become low.
examine the data and identify anything appearing to be unique. select all that apply.
a. most of the data values are rounded to the nearest 5 or 10 minutes, and may be estimates of actual amounts.
b. the data are presented as quantitative but are actually categorical.
c. the unusually large value of 80 minutes appears to be an error in recording the data.
d. based on the gaps in the distribution, the data appear to be from two different populations.
A normal distribution has frequencies that start low, increase to one or two high - frequencies (the peak), and then decrease to a low frequency, and is symmetric. Analyzing the options for the normal - distribution question based on these characteristics. For the uniqueness part, looking at data characteristics like rounding, possible errors, and population implications.
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For the first question: C. No, because while the frequencies start low, proceed to one or two high frequencies then decrease to a low frequency, the distribution is not symmetric.
For the second question: A. Most of the data values are rounded to the nearest 5 or 10 minutes, and may be estimates of actual amounts of time; C. The unusually large value of 80 minutes appears to be an error in recording the data.