Mathematics, 27.07.2021 17:40, wazzuphottie1999

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions. (See attached photo)

Part A: Estimate the IQR for the males’ data.
Part B: Estimate the difference between the median values of each data set.
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each.
Part D: Provide a possible reason for the outlier in the data set.

Use the box plots comparing the number of males and number of females attending the latest superher

Answers: 3

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Answers

answered: teetee7561

Note: I'm not sure all of this is correct O_o

Part A

Male IQR = Q₃ - Q₁ ≈ 15 - 5 ≈ 10Female IQR = Q₃ - Q₁ ≈ 9 - 2 ≈ 7

Part B

Male Median = Q₂ ≈ 9 to 10Female Median = Q₂ ≈ 6 to 7

Difference ≈ 10 - 7 or 10 - 6 ≈ 3 to 4

Part C

Male data distribution

Shape: The distribution is skewed right.Outliers: There doesn't appear to be any clear outliers on the box-plot.Center: Because the data is skewed, use median because it's a resistant measure of center. The median appears to be around 9 to 10.Spread: Because the data is skewed, use IQR because it's a resistant measure of spread. The IQR is calculated by subtracting the third quartile from the first quartile and appears to be around 10.

Female data distribution

Shape: The distribution is slightly skewed right, but appears to have more normality than the male distributionOutliers: There appears to be one significant outliers at around 30 to 35 that is greatly larger than the rest of the data and is represented as a dot outside the box plot.Center: Because the data is skewed, use median because it's a resistant measure of center. The median appears to be around 6 to 7.Spread: Because the data is skewed, use IQR because it's a resistant measure of spread. The IQR is calculated by subtracting the third quartile from the first quartile and appears to be around 7.

Median would be a better measure of center for each because both data distributions aren't as symmetric/normal and have a skewed shape. Therefore, the median should be used because of its resistance, as it's not as impacted by extreme values as the mean.

Part D

There doesn't appear to be an outlier in the male dataset, but there appears to be a significantly large outlier in the female dataset, which might mean that there is a significantly large number of females(around 30 to 40) attending the latest superhero movie during a specific day of the study month. This might be due to a discount to the movie ticket that day for females, which attracts large number of females to watch the movie.

answered: Guest

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number $c\in[0.5,0.75]$ that satisfies the conclusion of the mean value theorem, that is, a number $c\in[0.5,0.75]$ such that

$f'(c) = \dfrac{f(0.75) - f(0.5)}{0.75-0.5},$

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answered: Guest

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,

b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,

and solve for the variable

* lets solve the problem

∵ $7^{x}=77$