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
Artist 52 [7]
3 years ago
9

A set of data following a normal distribution has a mean of 192.3 and a standard deviation of 11.8. Find the probability that a

randomly selected value is less than 212.5
Mathematics
2 answers:
zavuch27 [327]3 years ago
8 0

Answer: 1. B) 0.0611

2. B) 2.79

3. C) 433.5 and 457.4

4. D) 11.25 and 11.81

5. A) 0.6772

6. C) 0.1379

7. C) 137.8

8. D) 0.9564

9. B) 20 and 25

10. D) 20.29

Step-by-step explanation: 100% for stats quiz (please be aware that not all stats quizzes look the same!)

stiks02 [169]3 years ago
7 0
Answer: 95.64% of the values will be below 212.5 in our set of data.

First, determine the z-score for the expected value of 212.5. The z-score is the number of standard deviations that it is above or below the mean.

(212.5 - 192.3) / 11.8 = 1.71

A score of 212.5 is 1.71 standard deviations above the mean. Now, use a table to find the probability for a z-score of 1.71. The percent is 95.64%.
You might be interested in
The price of a stock had a change of –3 dollars. explain how you would use a number line to find the absolute value of –3.
Naya [18.7K]
Draw out a horizontal line. Place 0 at the center. Then place evenly spaced tick marks on either side of 0. Label the right side of tick marks as 1, 2, 3, ... moving from 0 and going to the right

Label the left side of tick marks -1, -2, -3, ... starting at 0 and moving left

The location -3 on the number line is exactly 3 units away from 0. We start at 0 and move to -3 by moving 3 spots to the left; or we start at -3 and move 3 units to the right to get to 0.

Therefore, the absolute value of -3 is 3
Absolute value on a number line is the distance a number is from 0
The distance is never negative
5 0
3 years ago
Read 2 more answers
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament.
NeX [460]

Answer:

Step-by-step explanation:

Hello!

(Data and full text attached)

The stem and leaf plot is a way to present quantitative data.  Considering two-digit numbers, for example 50, the tens digits are arranged in the stem and the units determine the leafs.

So for the stem and leaf showing the digs of the top players of the tournament, the observed data is:

41, 41, 43, 43, 45, 50, 52, 53, 54, 62, 63, 63, 67, 75, 97

n= 15

Note that in the stem it shows the number 8, but with no leaf in that row, that means that there were no "eighties" observed.

a) 6 Players had more than 60 digs.

b)

To calculate the mean you have to use the following formula:

X[bar]= ∑x/n= (41 + 41 + 43 + 43 + 45 + 50 + 42 + 53 + 54 + 62 + 63 + 63 + 67 + 75 + 97)/15= 849/15= 56.6 digs

To calculate the median you have to calculate its position and then identify its value out of the observed data arranged from least to greatest:

PosMe= (n+1)/2= (15+1)/2= 8 ⇒ The median is in the eight place:

41, 41, 43, 43, 45, 50, 42, 53, 54, 62, 63, 63, 67, 75, 97

The median is Me= 53

53 is the value that separates the data in exact halves.

The mode is the most observed value (with more absolute frequency).

Consider the values that were recorded more than once

41, 41

43, 43

63, 63

41, 43 and 63 are the values with most absolute frequency, which means that this distribution is multimodal and has three modes:

Md₁: 41

Md₂: 43

Md₃: 63

The Range is the difference between the maximum value and the minimum value of the data set:

R= max- min= 97 - 41= 56

c)

The distribution is asymmetrical, right skewed and tri-modal.

Md₁: 41 < Md₂: 43 < Me= 53 < X[bar]= 56.6 < Md₃: 63

Outlier: 97

d)

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.  

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

PosQ₁= 16/4= 4

Q₁= 43

PosQ₃= 16*3/4= 12

Q₃= 63

IQR= 63 - 43= 20

Q₁ - 1.5 IQR = 43 - 1.5*20= 13 ⇒ There are no values 13 and below, there are no lower outliers.

Q₃ + 1.5 IQR = 63 + 1.5*20= 93 ⇒ There is one value registered above the calculated limit, the last observation 97 is the only outlier of the sample.

The mean is highly affected by outliers, its value is always modified by the magnitude of the outliers and "moves" its position towards the direction of them.

Calculated mean with the outlier: X[bar]= 849/15= 56.6 digs

Calculated mean without the outlier: X[bar]= 752/14= 53.71 digs

I hope this helps.

7 0
3 years ago
Add 2 to 20 then multiply by 3
Misha Larkins [42]

Answer:

that would be 7.33

Step-by-step explanation:

sorry it's 66

I divided 3 by 22 instead of multiplying

5 0
3 years ago
Read 2 more answers
Simplify 3a-3b/3a+12b
Lena [83]
If it is a fraction like (3a-3b)/(3a+12b)
= [3(a-b)]/[3(a+4b)]
= (a-b)/(a+4b)
6 0
3 years ago
Read 2 more answers
Find the equation of the line<br> In the form y=mx+b
Aleonysh [2.5K]

Answer:

y = -1/3x + 5

Step-by-step explanation:

-1/3 is the slope because the line goes down 1 unit and right 3 units.

The y-intercept is 5 because that is where the line crosses the y-axis.

8 0
3 years ago
Other questions:
  • Please Help!!!
    12·1 answer
  • Tim ate 1/6 of the brownies and Abigail ate 1/8. How many all together?
    10·2 answers
  • Helppppppppppppp with 4,5,6
    6·1 answer
  • Does anyone know this? There are 25 students names in a hat. You choose 5 names. Three are boys names and two are girls names. H
    11·2 answers
  • The Area of a rectangle or stock growth chart is 1344 square inches. The length of the chart is 32 inches. Using the correct num
    14·1 answer
  • Tom baked 14 cookies with 2 scoops of flour with 11 scoops of flour how many cookies can tom bake
    12·1 answer
  • 7. Write a paragraph proof of theorem 3-8: in a plane, if two lines are perpendicular to the same line, then they are parallel t
    9·1 answer
  • What does x equal<br> 3 - x = 9<br><br> x=what
    14·2 answers
  • In IJK, the measure of K=90°, JI = 53, IK = 45, and KJ = 28. What ratio
    11·1 answer
  • Problem 14.1<br> How many numbers are in the list<br> 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!