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
117 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 volume of a rectangular solid with length 5cm, width 3cm, and height 10cm?
+
What is the measure of an angle formed by the intersection of two lines if their sum is 180 degrees?
+
Math question: What is the value of log base 5 of (25^2) + log base 2 of 16 - log base 7 of (49/7)?
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
𝑦 = ( π‘₯2 βˆ’ 3) (π‘₯3 + 2 π‘₯ + 1)
5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight
Evaluate limxβ†’βˆžtanβˆ’1(x) using that y=tanβˆ’1(x) exactly when x=tan(y) . (Hint: Both tan and tanβˆ’1 are continuous!)
The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly
A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places
To make brine, JosΓ© buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?
"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
15.A newly married couple purchased a home with a $123710 down payment. They financed the remaining balance of the home with a mortgage. Their payments were $15395 at the end of every six months for 23 years and the interest rate was 10.6%, compounded semi-annually. How much did they purchase their home for. Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0
The blood types of individuals in society are as follows: A: 30%, B: 25%, AB: 20%, 0: 25%. It is known that the rates of contracting a certain disease according to blood groups are as follows: A: 7%, B: 6%, AB: 7%, 0: 4%. Accordingly, if a person selected by chance is known to have this disease, what is the probability of having blood group O?
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
Solve for z: 2z-6=10z+2
64-6x^2>0
Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.