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
faust18 [17]
2 years ago
7

Find the mean of the data summarized in the given frequency distribution . Compare the computed mean to the actual mean of 57.6

Degrees.
Low Temperature ( F) 40-44 45-49 50-54 55-59 60-64 Frequency 2 5 9 6 3
Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

The mean of the frequency distribution is 52.6° F. The computed mean of 52.6° F is lesser than the actual mean of 57.6° F.

<h3>What is the mean of a distribution?</h3>

The mean of the distribution can be defined as the average value of the distribution, It can be expressed as the total sum of all the observed values divided by the frequency of the distribution.

From the parameters given:

Low-temperature             Frequency

40 - 44                                    2

45 - 49                                    5

50 - 54                                    9

55 - 59                                    6

60 - 64                                    3

The first thing to do is to determine the class midpoint. The class midpoint is the sum of the class interval divided by 2.

The class midpoint of 40 - 44 is \mathbf{\dfrac{40 + 44}{2} = 42}

The class midpoint of 45 - 49 is \mathbf{\dfrac{45 + 49}{2} = 47}

The class midpoint of 50 - 54 is \mathbf{\dfrac{50 + 54}{2} = 52}

The class midpoint of 55 - 59 is \mathbf{\dfrac{55 + 59}{2} = 57}

The class midpoint of 60 - 64 is \mathbf{\dfrac{60 + 64}{2} = 62}

Now, the table can be represented as:

Low-temperature             Frequency          x  

40 - 44                                    2                   42

45 - 49                                    5                   47

50 - 54                                    9                   52

55 - 59                                    6                   57

60 - 64                                    3                   62

The mean can now be determined as follows:

\mathbf{\bar x = \dfrac{\sum fx}{\sum f }}

\mathbf{\bar x = \dfrac{(2 \times 42)+ (5 \times 47) + ( 9\times 52) +(6\times 57) + (3 \times 62)}{2 + 5 + 9 + 6 + 3 }}

\mathbf{\bar x = \dfrac{1315}{25}}

\mathbf{\bar x = 52.6}

Therefore, we can conclude that the mean of the frequency distribution is 52.6° F. The computed mean of 52.6° F. is lesser than the actual mean of 57.6° F

Learn more about the mean of frequency distribution here:

brainly.com/question/12269435

You might be interested in
What is 8 divided by 3526​
Tom [10]

Answer:

8 divided by 3526 is 440.75

Step-by-step explanation:

Hope this helps! Have a nice day! Please consider making me Brainliest

8 0
3 years ago
Read 2 more answers
Write the expressions that represents 7 subtracted from 8n
Pani-rosa [81]
8n - 7
because from 8n, 7 is subtracted

7 0
3 years ago
Read 2 more answers
Suppose $1,000 is borrowed for one year at 8% simple interest. How much is due at the end of the year to
AleksAgata [21]

Answer:

you will be bankrupt simple!

6 0
3 years ago
Read 2 more answers
Heather had six 2-liter bottles of blood. She poured the blood into glasses which each have a capacity of 3 deciliters. How many
Flauer [41]
The human body has about 5.5 liters of blood
3 deciliters is about 0.3 liters
so 5.5/0.3=18.33333
so she could fill 18 and 1/3 glasses before she died
wait
oooooh, she has a supply of blood other than her own, nvm, I should read better


1 decileter is 1/10 of a liter
so 3/10 of a liter per glass

6 of those 2 liter bottles
so total is 6*2=12 liters
so
3/10 times number of glasses=12
times both sides by 10/3
number of glasses=120/3
number of glasses=40
can fill 40 glasses with the blood she is supplied (not including her own)
8 0
3 years ago
Which of the following statements must be true based on the diagram below select all that apply
ipn [44]

Answer:

all are true other than NONE OF THE ABOVE

Step-by-step explanation:

Hope this helps. let me know if any questions.

3 0
2 years ago
Other questions:
  • Lori bought a shirt and a hat at a half off sale. If she spent a total of $21 on the two items, what was the original price of t
    7·2 answers
  • $1 = £0.71. Change $530 into £.
    7·2 answers
  • Just want to make sure
    5·2 answers
  • Suppose an ant walks counterclockwise on the unit circle from the point to the endpoint of the radius that forms an angle of rad
    8·1 answer
  • Consider the decimal 0.101001000100001000.... do you think this decimal represents a rational number?why or why not
    12·1 answer
  • X - 4y = 28<br> 2x + y =2
    6·1 answer
  • Given g(x)=5x+2, find g(-6)
    15·2 answers
  • PL help please please help I'm crying
    8·1 answer
  • Can someone help with this question
    10·1 answer
  • Will you help me i am have a lot of trouble on this on
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!