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 is the measure of angle B in a triangle with side lengths 5, 7, and 9?
+
What is the equation of an ellipse with a vertical major axis, center at (h, k), semi-major axis of length a, and semi-minor axis of length b? (remembering that horizontal and vertical translations are given by adding or subtracting values from the coordinates)
+
What is the sum of the measures of the exterior angles of a regular pentagon?
+
New questions in Mathematics
A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.
11(4x-9)= -319
8x-(5-x)
x/20*100
(-5/6)-(-5/4)
Estimate the quotient for 3.24 Γ· 82
X~N(2.6,1.44). find the P(X<3.1)
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
Your grandfather has run a small high street pharmacy for 40 years. After much persuasion, he has agreed to open a digital store online. List 5 potential ways to improve sales and/or margins by having a digital pharmacy through the utilisation of historic or new sales data.
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) βˆ’ f(p)| ≀ M|g(x) βˆ’ g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90Β° north Springfield, Illinois: latitude 40Β° north
Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?
How many digits are there in Hindu-Arabic form of numeral 26 Γ— 1011
8(x+4) -4=4x-1
3(x-4)=156
2p-6=8+5(p+9)
The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.
Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ΒΏ by: T (t )=(20 t +10)eβˆ’0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(βˆ’10 t +15)eβˆ’0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10βˆ’2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ΒΏ by: T (t )=(20 t +10)eβˆ’0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(βˆ’10 t +15)eβˆ’0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10βˆ’2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.