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 formula for calculating the standard deviation of a given data set?
+
What is the integral of ∫(3x² + 2) dx?
+
What is the quadratic formula and how is it used to find the solutions of a quadratic equation?
+
New questions in Mathematics
12-6x=4x+2
String x = 5 Int y=2 System.out.println(x+y)
I) Find the directional derivative of 𝑓(π‘₯, 𝑦) = π‘₯ sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of πœ‹/4 with positive π‘₯-axis.
If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?
3x+5y=11 2x-3y=1
Derivative of x squared
7/6-(-1/9)
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
logy/logx + logz/logy + logt/logz = 8xΒ².t x=?
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
7. Find the equation of the line passing through the points (βˆ’4,βˆ’2) π‘Žπ‘›π‘‘ (3,6), give the equation in the form π‘Žπ‘₯+𝑏𝑦+𝑐=0, where π‘Ž,𝑏,𝑐 are whole numbers and π‘Ž>0.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
Is -11/8 greater than or less than -1.37?
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A Γ— B| = |C Γ— D|
Two minus log 3X equals log (X over 12)
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation ΞΌ = 4.10 and standard deviation Οƒ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?
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 DGβŠ₯BG. If the area of the quadrilateral AGBD is equal to s, show that ACΒ·BDβ‰₯2Β·s.
Write the inequality in the form of a<x<b. |x| < c^2
A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?