What is 3186 divided by 62

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

AlexFokin [52]

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

3 0

2 years ago

Which sentence is true?

Sloan [31]

Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0

Where a and b are both integers.

Example

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

41

or

82

or even

−8−2

Whereas

15=0.2

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

15=0.2

Or repeating as in

56=0.83333...

All rational numbers belong to the real numbers.

If you look at a numeral line

picture05

You notice that all integers, as well as all rational numbers, are at a specific distance from 0. This distance between a number x and 0 is called a number's absolute value. It is shown with the symbol

|x|

If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites. Opposites have the same absolute value since they are both at the same distance from 0.

|10|=10=|−10|

Step-by-step explanation:

3 0

3 years ago

Daughter’s current age is 6 years which is 1/5 th of her mother’s age. After how many years mother’s age will be three times gre

kifflom [539]

Answer:

6 years

Step-by-step explanation:

6 = ⅕m

m = 30

"mother's age will be three times greater than daughter's age"—Not sure what "three times greater than" means. I will interpret it as: "mother's age will be three times daughter's age."

In x years, mother will be 30+x and the daughter will be 6+x.

30+x = 3(6+x) = 18+3x

12 = 2x

x = 6

In 6 years, the mother will be 36 and the daughter will be 12.

5 0

3 years ago

Explain hovevou could estimate 22% of 78 to check if your answer is reasonable.

fomenos

Answer:

78 rounds to 80, so find 10% of 80 and double it. 10% of 80 is 8. So, 20% of 80 is 16. Then, 22% of 78 is a little more than 16.

78 rounds to 80, and 22% is a little less than 25%. 25% (or one-fourth) of 80 is 20. So, 22% of 78 is a little less than 20.

Step-by-step explanation:

8 0

3 years ago

the scale factor of the dimensions of two similar wood floors is 5 : 4 it cost 272 to refinish the smaller wood floor at that ra

Firdavs [7]

Answer:

if the smaller one with ratio 4 cost 272 then eat will the larger one of ratio 5cost how much so u cross multiply 4 is for 272 so wat Abt 5 n u get 340 for the cost of the larger one

6 0

3 years ago