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
107 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 standard deviation of the numbers 5, 7, 9, 12, 15, 18, and 20?
+
Math question: In circle P, if angle AOB = 120° and angle ADB = 40°, find angle ABD.
+
What is the sum of 145 and 67?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
-8+3/5
Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.
what is 456456446+24566457
Clara usually walks briskly to the farmers' market and it takes her 22 minutes. Today she walked leisurely and it took 61/2 minutes. How much more time than usual did she take to reach the market today?
X³-27
What is 75 percent less than 60
-1%2F2x-4%3D18
A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?
A cell phone company offers two calling plans. Plan A: $20 per month plus 5 cents for each minute, or Plan B: $30 per month plus 3 cents for each minute. [2] Write an equation to describe the monthly cost (a) C (in $) in terms of the time m (in minutes) of phone calls when Plan A is applied.
ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826
In a physics degree course, there is an average dropout of 17 students in the first semester. What is the probability that the number of dropouts in the first semester in a randomly selected year has between 13 and 16 students?
Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)
Find the zero of the linear function 8x + 24 = 0
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
8/9 divided by 10/6
9n + 7(-8 + 4k) use k=2 and n=3