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)
What type of triangle has all sides of equal length and all angles measuring 60 degrees?
+
What is the limit of (2x+3)/(x-1) as x approaches 2?
+
Question: What are the key characteristics of the cube root function?
+
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.
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
(x^2+3x)/(x^2-9)=
Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)
A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?
Derivative of x squared
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.
suppose random variable x follows poisson distribution with expected value 3. what is variance of x?
-1%2F2x-4%3D18
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A person runs 175 yards per minute write a variable that represents the relationship between time and distance
A block slides across the floor with a force of 20N, which has an angle of 30°. The mass of the block is 2kg and the coefficient of friction is 0.1. Calculate the value of all the forces involved in this system and finally the value of the acceleration.
An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?
56 × 12 = 672. How should you adjust this answer 672 to determine 57 × 12? a) The answer increases by 1 b) The answer increases by 57 c) The answer increases by 56 d) The answer increases by 12
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
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?