Question

A company conducted a survey of 80 people to find out the amount of hours a day they watch television. The results were the following number of hours 1 hour: 4 people 2 hours: 15 people 3 hours: 16 people 4 hours: 45 people draw 3 conclusions according to the position measurements

246

likes
1232 views

Answer to a math question A company conducted a survey of 80 people to find out the amount of hours a day they watch television. The results were the following number of hours 1 hour: 4 people 2 hours: 15 people 3 hours: 16 people 4 hours: 45 people draw 3 conclusions according to the position measurements

Expert avatar
Timmothy
4.8
99 Answers
We can calculate the mean, median, and mode based on the data provided.

1. **Mean**: The mean is the average value of a data set and can be calculated using the formula:
\text{Mean} = \frac{\sum_{i=1}^n x_i}{n}
where x_i is the number of hours watched by each person and n is the total number of people.

For this data, we have:
(1 \times 4) + (2 \times 15) + (3 \times 16) + (4 \times 45) = 4 + 30 + 48 + 180 = 262
So, the mean number of hours of watching TV per day is:
\text{Mean} = \frac{262}{80} = 3.275

2. **Median**: The median is the middle value of a data set when it is arranged in numerical order. Since we have 80 people in the survey, the median will be the average of the 40th and 41st values when the data is ordered.

Arranging the data gives:
1, 1, 1, 1, 2, 2, ..., 4, 4, 4, 4
So, the median is:
\text{Median} = \frac{(40th \, term + 41st \, term)}{2} = \frac{(2 + 2)}{2} = 2

3. **Mode**: The mode is the number that appears most frequently in a given data set. In this case, the mode would be 4 hours since 45 people watched TV for 4 hours, which is the highest number of people for any given time.

Therefore, the conclusions are:
1. The mean number of hours spent watching TV per day is 3.275 hours.
2. The median number of hours spent watching TV per day is 2 hours.
3. The mode number of hours spent watching TV per day is 4 hours.

**Answer:**
1. Mean = 3.275 hours
2. Median = 2 hours
3. Mode = 4 hours

Frequently asked questions (FAQs)
Find the basis of vectors in ℝ³ that span a plane passing through points P(-1, 2, 3), Q(2, -1, 4), and R(3, 4, -1).
+
What are the signs of equality for two triangles if their corresponding angles and sides are congruent?
+
Question: Solve for x in the equation log(base 3)(3x) + log(base 2)(2x) = log(base 5)(5x), where x > 0 and x is a real number.
+
New questions in Mathematics
In a random sample of 600 families in the Metropolitan Region that have cable television service, it is found that 460 are subscribed to the Soccer Channel (CDF). How large a sample is required to be if we want to be 95% confident that the estimate of “p” is within 0.03?
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
solve the following trigo equation for 0°<= x <= 360°. sec x =-2
(2x+5)^3+(x-3)(x+3)
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
∫ √9x + 1 dx
Estimate the quotient for 3.24 ÷ 82
TEST 123123+1236ttttt
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
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?
2x2
9/14 x 7/27 carry out indicated operation
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.
To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?
simplify w+[6+(-5)]
4m - 3t + 7 = 16
A candy manufacturer must monitor deviations in the amount of sugar in their products They want their products to meet standards. They selected a random sample of 20 candies and found that the sandard deviation of that sample is 1.7. What is the probabilty of finding a sample variance as high or higher if the population variance is actually 3277 Assume the population distribution is normal.
In a school playground When going out for recess, 80 men and 75 women coexist, the Patio measures 10 meters For 40 meters (what will be the population density in the break
Hola👋🏻 Toca en "Crear Nueva Tarea" para enviar tu problema de matemáticas. ¡Uno de nuestros expertos comenzará a trabajar en ello de inmediato!
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?