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)
Math question: Find the absolute extrema of the function f(x) = x^3 - 6x^2 + 9x on the interval [-2, 3].
+
What is the maximum value of the function f(x) = -2x^3 + 5x^2 + 3x + 1 on the interval [-1, 2]?
+
Question: What is the probability of getting at least one tail when flipping a fair coin three times?
+
New questions in Mathematics
If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?
-6(3x-4)=-6
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
(5u + 6)-(3u+2)=
how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together
is the x element (180,270), if tanx-3cotx=2, sinx ?
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?
MAKING AN ARGUMENT You use synthetic division to divide f(x) by (x − a) and find that the remainder equals 15. Your friend concludes that f (15) = a. Is your friend correct? Explain your reasoning.
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1
Pablo has a balance of $440,000 and 2/5 of the money is used to pay bills. How much money do you have left after paying the bills?
Find sup { x∈R, x²+3<4x }. Justify the answer
Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.
X^3 - x^2 - 4 = 0, what are the values of x?
Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?
8(x+4) -4=4x-1
Write an equation of the affine function whose graph is perpendicular to the graph of f(x) = 5x − 1 and passes through the point (5, 20).