1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
14

Here are the noon temperatures (in degrees Celsius) in a particular Canadian city on Thanksgiving Day for the 10 years from 2002

through 2011: 0, 3, 6, 8, 2, 9, 7, 6, 4, 5. Describe the typical temperature and the amount of variation to a person who has never had a course in statistics. Give three ways of describing the representative temperature and two ways of describing its variation, explaining the differences and how you figured each. (You will learn more if you try to write your own answer first, before reading our answer at the back of the book.)
Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

a) Three ways of describing the representative or typical temperatures are the mean, median, and mode.

The mean = 5.  This is the average temperature.  It is calculated by adding up the varying temperatures each year and dividing by 10.

Median = 5.5.  This is the middle value in the temperature table.  There are two middle numbers (5 and 6) in the dataset.  They are added and divided by two.

Mode = 6.  This is the value that occurs more than other values in the dataset.  The value 6 occurred twice more than other values.

b) The two ways of describing the variation of temperatures are the variance and the standard deviation.

Variance = 7. This is a measure of how spread out a data set is. It is calculated as the average squared deviation of each number from the mean of a dataset.

Standard Deviation = 2.65.  The standard deviation measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Step-by-step explanation:

a) Data and Calculations:

Noon Temperatures (in degrees Celsius) in a particular Canadian City on Thanksgiving Day:

Year    Degree  Difference     Squared

           Celsius                       Difference

2002        0          -5                     25

2003        3          -2                       4

2004        6           1                        1

2005        8           3                       9

2006        2          -3                       9

2007        9           4                      16

2008        7           2                       4

2009        6           1                        1

2010         4          -1                        1

2011          5          0                       0

Sum       50                                  70

Mean =    5 (50/10)

Variance =                                    7 (70/10)

Standard Deviation = 2.65 (Square root of variance)          

Median =  0, 2, 3, 4, 5, 6, 6, 7, 8, 9 (the values are arranged numerically.)

= (5 + 6)/2 = 5.5

Mode = 6 (occurred twice more than other values)

You might be interested in
A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. Is this triangle equilateral?​
Sedbober [7]

Answer:

no a equilateral triangle has the same length sides all the way around

6 0
3 years ago
A stray dog ate 25 of your muffins that was 5/6 of all of them with how many did you start?
Maru [420]

Answer:

30 = total muffins

Step-by-step explanation:

To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten

eaten muffins = total muffins * fraction

25 = total muffins* 5/6

Multiply each side by 6/5

6/5*25 = total muffins *5/6*6/5

30 = total muffins

3 0
3 years ago
Write the sentence as an equation z and 40 more is the same as 344
KengaRu [80]
Your answer z+40=344
3 0
2 years ago
Write the equation of a line that is perpendicular to y=3x-2 and that passes through the point (-9,5)
damaskus [11]
Slope of perpendicular is -1/3.
Then equation is
y-5=(-1/3)(x+9)
8 0
2 years ago
Calculate the average travel time for each distance, and then use the results to calculate. A 6-column table with 3 rows in the
BigorU [14]

The average travel time is simply the mean travel time between the given points

  • The average time that it takes for the car to travel the first 0.25m is 2.23s.
  • The average time to travel just between 0.25m and 0.50m is 0.9s.
  • Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.

<u>(a) The average time to travel the first 0.25m</u>

The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.

So, the average time to travel is:

Time = \frac{2.24s + 2.21s + 2.23s}{3}

Time = \frac{6.68s}{3}

Time = 2.23s

<u>(b) The average time to travel just between 0.25m and 0.50m</u>

The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.

So, the average time to travel this distance is:

Time = \frac{3.16s + 3.08s + 3.15s}{3}

Time = \frac{9.39s}{3}

Time = 3.13s

The average time to travel between both distance is the difference between the average time of each distance.

So, we have:

Average = 3.13s - 2.23s

Average = 0.9s

<u>(c) The velocity in the second 0.25m section</u>

The distance and time are:

Distance = 0.25m

Time = 0.9s

So, the velocity is:

Velocity = \frac{Distance}{Time}

This gives

Velocity = \frac{0.25m}{0.9s}

Velocity = 0.28m/s

Read more about distance, velocity and time at:

brainly.com/question/4931057

6 0
2 years ago
Other questions:
  • Ms.Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are 3
    12·1 answer
  • If you deposit $100 in a savings account that earns simple interest at a rate of 1.5% per year how much interest will you have e
    7·2 answers
  • Out of a total of 500 flowers, 65 are roses. What percent of the flowers are roses?
    8·1 answer
  • What is the justification for each step in the solution of the equation?
    6·1 answer
  • What is another way to write the equation 7/8x × 3/4 = -6?
    10·2 answers
  • Club owns.
    5·1 answer
  • A random survey of enrollment at 35 community colleges across the United States yielded the following figures:
    7·1 answer
  • Write down the solution to these simultaneous equations.<br>y = 2x + 1<br>y=0.5x – 2​
    11·1 answer
  • Just don’t understand the question to get the answer
    15·1 answer
  • Pip, David and Bridget share £60 in a ratio 1:2:2. How much money does each person get?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!