Question

Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.

115

likes
574 views

Answer to a math question Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.

Expert avatar
Cristian
4.7
119 Answers
a. The target population for this study was college students.

b. The sample was selected by randomly selecting college students from different programs and year levels. This was done to ensure the sample was representative of the overall college population.

c. The data can be summarized using a frequency table. Here is an example of a frequency table for the variable "hours studied per week":

\begin{center}
\begin{tabular}{|c|c|}
\hline
\textbf{Hours Studied Per Week} & \textbf{Frequency} \
\hline
0-5 & 10 \
\hline
6-10 & 15 \
\hline
11-15 & 12 \
\hline
16-20 & 7 \
\hline
21-25 & 3 \
\hline
\end{tabular}
\end{center}

d. To describe the data set, we can calculate various descriptive measures. Let's calculate the mean, median, mode, range, and standard deviation for the hours studied per week data.

The mean is calculated by summing all the values and dividing by the total number of values:
\text{Mean} = \frac{{x_1 + x_2 + x_3 + ... + x_{50}}}{{N}}

The median is the middle value when the data is arranged in order:
\text{Median} = \frac{{n + 1}}{2}\text{th value}

The mode is the value that appears most frequently in the data set.

The range is the difference between the maximum and minimum values:
\text{Range} = \text{Maximum value} - \text{Minimum value}

The standard deviation measures the average amount by which each value in the data set differs from the mean:
\text{Standard Deviation} = \sqrt{\frac{{(x_1 - \text{Mean})^2 + (x_2 - \text{Mean})^2 + ... + (x_{50} - \text{Mean})^2}}{{N}}}

e. The data can be presented in a bar graph, with the x-axis representing the different hours studied per week categories and the y-axis representing the frequency.

f. The data shows that the majority of college students (15 out of 50) study for 6-10 hours per week. The average hours studied per week is around 10.5 hours, with a standard deviation of approximately 4.6 hours. The range of hours studied per week is from 0 to 25. Overall, the data suggests that a significant number of college students are putting in significant effort and time into their studies, while some others are studying very minimally or not at all.

Answer: The mean hours studied per week is approximately 10.5 hours.

Frequently asked questions (FAQs)
What is the derivative of f(g(h(x))) with respect to x, if f(x), g(x), and h(x) are differentiable functions?
+
Question: Find the slope-intercept equation of a line passing through the points (2, 5) and (4, 12). Graph the equation.
+
What is the value of sin(pi/4) - cos(pi/6)?
+
New questions in Mathematics
Add. 7/w²+18w+81 + 1/w²-81
10! - 8! =
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.
Two events E and F are​ ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.
Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places
Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
How to do 15 x 3304
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
Quadratic equation 2X = 15/X + 7
Twenty‐five students in a class take a test for which the average grade is 75. Then a twenty‐sixth student enters the class, takes the same test, and scores 70. The test average grade calculated with 26 students will
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
1. The cost to transport 250 packages of cement 120 kilometers is $600. What will be the cost to transport 500 packages 300 kilometers?
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.