The cost of soup, s, varies directly with the number of cans, c. When c is 4, the cost is $3. Which graph represents the cost of
the soup?
2 answers:
It is understood that
A direct variation exists between two variables, x and y, if it can be represented as
In this particular scenario
Define
x--------> the count of cans
y-------> the expense of a soup
therefore
when
substituting
the resulting equation is
by utilizing a graphing tool
refer to the figure attached
the solution is depicted in the attached figure
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Answer:
(a) The data point that is considered an outlier is $810.
(b) The distribution regarding expenditures on textbooks among the 34 students is right skewed.
Step-by-step explanation:
The provided data regarding how much 34 college students spent on textbooks is:
S = {120, 130, 130, 140, 150, 150, 160, 170, 180, 210, 220, 230, 240, 250, 260, 280, 280, 290, 290, 290, 310, 320, 320, 370, 380, 390, 410, 440, 450, 470, 510, 530, 620, 810}
(a)
An outlier is defined as a value significantly different from the rest of the dataset, being either excessively high or low.
A widely-used approach for identifying outliers involves:
- Identifying values that fall below Q₁ - 1.5 IQR as outliers.
- Identifying values that exceed Q₃ + 1.5 IQR as outliers.
In our case,
Q₁ = first quartile
Q₃ = third quartile
IQR = Interquartile range = Q₃ - Q₁.
The first quartile value corresponds to more than 25% of the data points. It can be found by examining the median of the first half of the data.
Calculate the first quartile with the set below:
Initial half of data: {120, 130, 130, 140, 150, 150, 160, 170, 180, 210, 220, 230, 240, 250, 260, 280, 280}
This subset contains 17 values.
The median in an odd-sized dataset is the central point.
The central value here is: 180
Thus, the first quartile is Q₁ = 180.
The third quartile value corresponds to more than 75% of the data points.
We determine the third quartile from the second half of the data:
Final half of data: {290, 290, 290, 310, 320, 320, 370, 380, 390, 410, 440, 450, 470, 510, 530, 620, 810}
<pthis subset="" also="" consists="" of="" values.="">The median of an odd dataset serves as the middle value.
The central point is: 390
Hence, the third quartile is Q₃ = 390.
Calculate the interquartile range as follows:
IQR = Q₃ - Q₁
= 390 - 180
= 210
Next, we compute the value of [Q₁ - 1.5 IQR]:
And then we compute [Q₃ + 1.5 IQR]:
There are no values below [Q₁ - 1.5 IQR]. However, one value exceeds [Q₃ + 1.5 IQR].
X = 810 > [Q₃ + 1.5 IQR] = 705
Consequently, the outlier identified within the dataset is $810.
(b)
A distribution is classified as positively skewed or right-skewed when the majority of the data congregates on the lower end of the spectrum.
The stem plot indicates that most of the data values are concentrated on the left side, confirming that the distribution is indeed right skewed.
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