Transcribed Image Text:A random sample of 15 college students were asked "How many hours per week typically do you work outside the home?" Their
responses are shown on the right.
6
31
3
6
7
12
Determine the shape of the distribution of hours worked by drawing a frequency histogram and computing the mean and median.
Which measure of central tendency better describes hours worked?
15
13
16
18
11
25
11
7
12
Choose the correct frequency histogram below.
Y A.
OB.
Hours Worked
per Week
Hours Worked
per Week
Q
Hours Worked
per Week
10 20 30
10 20
30
10 20 30
hours
hours
hours
Is the histogram for the data set skewed right, skewed left, or symmetric?
skewed left
skewed right
O symmetric
The mean number of hours worked by college students outside the home is approximately hours.
(Type an integer or decimal rounded to three decimal places as needed.)
Frequency
Frequency
Frequency
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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