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
MAVERICK [17]
4 years ago
13

To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures

ballpoint pens selected samples of pens on each of days. The company recorded, for each sample of , the number of defective pens in the sample. Here are their data:
1, 1, 2, 2, 2, 2, 3, 5, 5, 6, 6, 6, 9, 11, 14, 15, 18

Required:
a. Which measures of central tendency do not exist for this data set?
b. Which measures of central tendency would be affected by the change?
c. Which of the following best describes the distribution of the original data?
d. Suppose that, starting with the original data set, the largest measurement were removed. Which measures of central tendency would be changed from those of the original data set?
Mathematics
1 answer:
marishachu [46]4 years ago
6 0

Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1       2

2      4

3       1

5       2

6       3

9        1

11        1

14        1

15       1

18       1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term  

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.

You might be interested in
Meryl needs to cut down 10.5 trees for every 5 cabins she builds. how many trees will she need to cut down if she builds 7 cabin
babymother [125]
She has to cut down 14.7 trees
3 0
4 years ago
Read 2 more answers
Pls help this is the only question I don’t know!
LUCKY_DIMON [66]

Answer:

Store B

Step-by-step explanation:

Store A- $80

Store B- $79.2

Store C- $79.8

Store D- $81

8 0
3 years ago
Read 2 more answers
Someone please help me find the y = mx + b, I can’t figure it out
alexira [117]

Answer:

Step-by-step explanation:

There isn't really a correct answer, because reading the data associated the line will have a margin of error.  What I read it as and what you read it as would be slightly different.  With that said I will try my best.  

I need at least two points on the line that seem accurate.

  I like one point at Latitude 40 and temperature 51 call it 50            (40, 50)

  Another point I like is  Latitude 15 and temperature 81 or 80           (15, 80)

to find the line we use the slope and one point on the line

with two points you can calcuate the slope  m = Δy / Δx

            m = (50 - 80) / (40 - 15)

                = -30 / 25

                = - 1.2

now find the y intercept    y when x = 0 (the x -axis)

            y - y1 = m ( x - x1 )          point 1  (40, 50)    slope of -1.2

            y - 50 = -1.2 ( 0 - 40)

                  y   = -1.2(-40)  + 50           i combined a few steps here to solve for y

                  y  =  98

    so from your data and line I get an answer of

             y = -1.2x + 98

to double check my answer I used a graphing calculator to do all of the work!

     the graphing calculator (attached image) using linear regression got an answer of

            y = -0.983667x  + 103.9

4 0
3 years ago
Using the following image, solve for x
emmainna [20.7K]

Answer:

x= -3

Step-by-step explanation:

2x+14= 8

2x= -6

x = -3

5 0
3 years ago
Read 2 more answers
Max’s grandmother is 83 years old. Which expression should he use to find his grandmother’s age in months? (12 months = 1 year)
NISA [10]

Answer:

83x12

Step-by-step explanation:

5 0
4 years ago
Other questions:
  • Susan is buying three different colors of tiles for her kitchen floor. She is buying 107 red tiles, and three times as many navy
    8·1 answer
  • Verify the identity. cotangent x equals StartFraction 1 plus cosine 2 x Over sine 2 x EndFractioncot x= 1+cos2x sin2x Use the ap
    12·1 answer
  • An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.
    15·1 answer
  • Each month's ending Finished Goods Inventory should be 40% of the next month's sales. March 31 finished goods inventory is 96 un
    8·1 answer
  • Simplify the following expression 9 - 5 (-7x + 5)
    7·1 answer
  • Answer these questions about finding the missing angle measures. What is the measure of ∠Q? What is the measure of ∠T? What can
    8·2 answers
  • Round 3817773 to the nearest 100000
    13·2 answers
  • Which equation has (2, -1) as a solution. ;p
    14·1 answer
  • How can you find dictance between points and cordinte plances
    13·1 answer
  • Which of the following numbers is closest to the mean of distribution?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!