A school is tracking its freshmen attendance for the first marking period. Shown below is a table summarizing the findings for the 284 members of the freshmen class.
(a) Find the mean and median number of days absent Round your mean to the nearest tenth
(b) What proportion of the population that has an absenteeism greater than 4 days?
Answers
Answer:
The median number of days absent is zero (0)
The mean number of days absent is 1.0 day
(b) The proportion of the population that has absenteeism greater than 4 days is 6.34 %
Step-by-step explanation:
total number of students, n = 284
The total number of students is even, the median number of days absent will in (n/2).
n/2 = 284/2 = 142
The cumulative frequency that falls in 148 students = 0 day
The median number of days absent is zero (0)
For mean:
Let the days absent = x
let the number of students = f
[tex]mean (\bar x) = \frac{\sum fx}{\sum f}\\\\\bar x = \frac{(158\times 0)+ (64\times 1)+(18\times 2)+(22\times 3)+(4\times 4)+(5\times 7)+(6\times 8)+(9\times 2)+(13\times 1)}{284} \\\\\bar x = \frac{296}{284} \\\\\bar x = 1.0 \ day[/tex]
(b) the number of students with absenteeism greater than 4 dyas;
= 7 + 8 + 2 + 1
= 18
The proportion of these students;
[tex]= \frac{18}{284} \\\\= 0.0634 \\\\= 6.34 \ \%[/tex]
Using statistical concepts, it is found that:
a) The mean number of days absent is of 1, while the median is of 0.b) 0.0634 = 6.34% of the population has an absenteeism greater than 4 days.Mean and Median:The mean is given the sum of the multiplication of each value and it's number of observations, divided by the number of observations.The median is the number of days absent for which the sum of the number of students will be half of the total number, that is, half of 284, which is 142.Question a:
Then, the mean is:
[tex]M = \frac{0(158) + 1(64) + 2(18) + 3(22) + 4(4) + 5(7) + 6(8) + 9(2) + 13(1)}{284} = 1[/tex]
158 > 142, hence, the median is 0.
Question b:
In the sample, there are 284 students.Of those, 7 + 8 + 2 + 1 = 18 were absent four more than 4 days, hence:[tex]p = \frac{18}{284} = 0.0634[/tex]
0.0634 = 6.34% of the population has an absenteeism greater than 4 days.
To learn more about mean and median, you can take a look at https://brainly.com/question/24732674
Related Questions
An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a Normal distribution with unknown mean μ and that a 95% confidence interval for μ is found to be 150 ± 3.29. Which of the following options gives the correct notation for and value of the point estimate?
A) n=25
B) μ= 150
C) x=150
D) =150
E) P=150
Answers
Answer: C is the correct option.
Step-by-step explanation:
Confidence interval for population mean:
[tex]\overline{x}\pm E[/tex]
, where [tex]\overline{x}[/tex] = Sample mean
E = Margin of error
Given confidence interval : 150 ± 3.29
Here , [tex]\overline{x}=150, E=3.29[/tex]
Since the sample mean is the best estimate for the population mean.
Thus, the correct notation is [tex]\overline{x}=150[/tex]
i.e. C is the correct option.
Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 134 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 95% confidence interval of ( 0.2841 , 0.4472 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval
Answers
Answer: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).
Step-by-step explanation:
Interpretation for 95% confidence interval:
A person can be 95% confident that the true population parameter lies in it.
here , population parameter = Population proportion of Americans who respond positively to an ad your agency is testing for release.
Required interpretation: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).
Which expression has the greater value ?
-8+3
-8x3
Answers
sorry if it’s wrong i’m not 100% sure
HELP PLSSS I will give first person to answer this write Brainlyest
I suck at math this is easy
Answers
Answer:
C)
Step-by-step explanation:
When you see something like 6³) 2, to get both the exponent and the multiplier together, you must multiply 3 x 2. As this problem goes, there is -7 and 5 as our exponents. If we both multiply them by 2, we will get -14 and 10. Its one of the rules in basic algebra. Check the pic I posted below.
Hope this helps!
-kiniwih426
The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?
Answers
Answer:
a
Step-by-step explanation:
The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?
Answers
Answer:
well, just put in 10 instead of n, after all we want the 10th, not the n'th
3*10 -1 = 29
simple as that.
hope it helps you. if you got further questions just put them in a comment:)
HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION
Answers
Answer:
2,4,6,8,10,12,14,16,18,20
Answer:
How do you make the number 7 an even number without addition, subtraction or multiplication?
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22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)
Answered 4 years ago
You can remove alphabet S from SEVEN.
You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.
Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.
Introducing a new number system and interchange position of 7 with an even number.
If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.
These are some genuine ways rather than dividing.
ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .
Find the value of x. Leave your answer in simplest radical form.
Answers
What is 9x + 5= 32 described as
Answers
Answer:
9x + 5= 32
9x=27
x=3
Which graph shows the point (-4, 0)?
A.
B.
C.
D.
Answers
Answer:
hey. pls post the graphs with the question so we may help you. you can add the pictures as an attachment.
Henrieta drove 250 miles in 4 hours. How much miles did she drive in 10 minutes?
Answers
Answer:
625 miles
Step-by-step explanation:
250/4=62.5
62.5*10 = 625
Answer:
Below.
Step-by-step explanation:
There are 6 * 10 minutes in 1 hour and 4*6 = 24 10minutes in 4 hours.
So in 10 minutes she travels 250 / 24
= 10.417 miles to nearest thousandth.
QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
Answers
Step-by-step explanation:
{2,3,5,7,9,11,13,15,17,19}
Find the area of a circle with diameter 10 inches. Round to the nearest hundredth points)
Answers
Answer:
78.54inches²
Step-by-step explanation:
Area of a circle=πr²
radius=½ diameter
=5inches
=π×(5inches)²
=π25inches²
=78.539816339744830inches²
rounded to the two decimal places=78.54inches²
Estimate by rounding to nearest 100 5428 + 6378 = ?
Answers
5400 + 6400 = 11800
Find the value of x to the nearest tenth. 2 4 x 8
Answers
192 because if you put 24 into 8 groups there are 192
Name a pair of complementary angles in the diagram above.
21 and 22
Z2 and 23
24 and 25
0 27 and 29
Answers
Answer:
7&9
Step-by-step explanation:
Really, its just because, that's my explanation.
A sum of money is divided in the ratio 3:5:9.calculate the smallest share given the largest share is 108
Answers
Answer:
36
Step-by-step explanation:
largest share = 9parts = 108
1 part = 108÷9 = 12
smallest share = 3parts = 12×3 = 36
Someone help me please!!!
Answers
Answer:
Domain: 2<x<7
Range: 1<y<2
Step-by-step explanation:
Range is the y value but domain is the x value
Mark me Brainliest if this works! Thanks!
( 2, 1 ) and ( 7, 2)
Domain - 2 and 7
Range - 1 and 2
I hope you understand...
Mark me as brainliest...
Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)
Answers
Answer:
d.
Step-by-step explanation:
1) just to substitute the value of 'x' into the given equation and check equality:
(9;-2): -2≠ -45-1;
(5;24): 24≠-25-1;
(-1;6): 6≠5-1;
(-4;19): 19=20-1.
if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.
Answers
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
Can someone please explain to me a easier way of understanding this please
Answers
Step-by-step explanation:
u have solve it by finding slope(m)
and substitute is general eq of straight line
y = mx + c
Answer:
y = 2x - 6
Step-by-step explanation:
These are actually pretty fun to do once you get the hang of it! Here are the steps!
The formula for slope intercept form is y=mx + b.
m is the slope and b is the y-intercept. Let's start with finding the y-intercept (also known as b).
To find the y-intercept, look at where the line crosses the y-axis. In your equation, the line crosses the y-axis at -6. Plug -6 in for b in the equation.
y = mx + (-6)
Now were going to find the slope. To find the slope, you need to find the rise over run. To start, first find a point on the graph where the line goes through an integer (just pick one of the blue dots). Then, count how many squares you go up or down, and how many you go to the left or right before you hit the next blue dot. Divide the rise over the run, and you have your slope! Here are the steps for the problem:
To get from one dot to another, you rise up 2 units, and you run to the right 1 unit. Plugging those integers into rise/run, you get 2/1 which simplifies to 2. That's your slope.
Now all we need to do is plug the slope into the formula, and you have your equation!
Answer: y = 2x - 6
A group of students were asked if they carry a credit card. The responses are listed in the table.
If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answers
Answer:
0.383 (3 d.p.)
Step-by-step explanation:
Probability formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let P(A) = probability that the student owns a credit card
Let P(B) = probability that the student is a freshman
Use the given table to calculate the probability that the student is a freshman and owns a credit card:
[tex]\implies \sf P(B \cap A)=\dfrac{23}{100}=0.23[/tex]
Use the given table to calculate the probability that the student is a freshman:
[tex]\sf \implies P(B) = \dfrac{60}{100}=0.6[/tex]
To find the probability that the student owns a credit card given that they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of A given B is:
[tex]\sf P(A|B)=\dfrac{P(B \cap A)}{P(B)}[/tex]
Substitute the found values into the formula:
[tex]\implies \sf P(A|B)=\dfrac{0.23}{0.6}=0.383333...[/tex]
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.383 (3 d.p.).
P(Freshman credit card holder)
23/1000.23P(Freshman)
60/1000.60P(Freshman credit holder|Freshman)
0.23/0.60.383Find the volume of the cubes or rectangular prisms in cubic centimeters.
Answers
Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box
Step-by-step explanation:
The asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given are dimensions of cuboid and cubes, we are asked to find their volumes.
We know that, volume of cube = side³
Volume of cuboid = length · width · height
1) Dimensions of the cuboid = 3/5, 4/5, 3/5
Volume = 3/5×3/5×4/5 = 36/125 cm³
2) Dimensions of the cuboid = 1/5, 2/5, 3/5
Volume = 1/5×2/5×3/5 = 6/125 cm³
3) Side of the cube = 1/5 cm
Volume = (1/5)³ = 1/125 cm³
4) Side of the cube = 2/5 cm
Volume = (2/5)³ = 8/125 cm³
Hence, the asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
For more references on volume, click;
https://brainly.com/question/28058531
#SPJ2
Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answers
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y
Answers
Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.
What is a transformation of the points?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
On a coordinate plane, 3 triangles are shown.
Triangle B C D has points (1, 4), (1, 2), (5, 3).
Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).
Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).
Reflection across the y-axis composition translation of 6 units x, -5 units y.
The diagram is given below.
More about the transformation of the points link is given below.
https://brainly.com/question/27224339
#SPJ1
Determine the angles. There’s only two answers.
A. 90 clockwise
B. 90 counterclockwise
C. 180
D. 270 clockwise
E. 270 counterclockwise
Answers
Answer:
its would be a and d
Step-by-step explanation:
6 times 5
Hector has 10 cups of flour which equation shows how to determine the number of 2/5 of a cup servings there are in the 10 cups of flour?
Answers
Answer:
10 divided by two-fifths = 25.
HELP PLEASE!! I WILL MARK BRAINLIST
Answers
Answer:
D
Step-by-step explanation:
Have a nice day :)
what is an algebraic expression for the quotient w and 7?
Answers
Answer:
the quotient of w and 7
is it correct?
Step-by-step explanation:
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
(0.30,0.42)
(0.20,0.52)
(0.24,0.48)
(0.22,0.50)
Answers
Answer:
(0.30, 0.42)
Step-by-step explanation:
Given the sample proportion is = 0.36
Number of trials required for determining the margin of the error = 100
Sample size, n = 50
The point estimate = 0.36
The minimum sample proportion form the simulation = 0.28
The maximum sample proportion from the simulation = 0.40
Also the margin of the error of population proportion is found by using the half of the range.
Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)
