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 cosine of an angle if the opposite side is 5 and the hypotenuse is 13?
+
What is the value of the cube root function at x=27?
+
What is the maximum possible number of x-intercepts that the cubic function f(x) = x^3 can have? (
+
New questions in Mathematics
STUDENTS IN A CLASS LEARN ONLY ONE FOREIGN LANGUAGE. two-sevenths of the students learn German, half of the students learn Spanish, and the remaining six students learn Italian. what is the number of students in this class? detail your reasoning carefully.
The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____
The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
Log(45)
A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
Use linear approximation to estimate the value of the sine of 31o.
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
2x-5-x+2=5x-11
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
X^X =49 X=?
a) 6x − 5 > x + 20
If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13
An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?
15=5(x+3)
5 1/9 + 2 2/3