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
zhuklara [117]
3 years ago
13

The number of hours Layla worked each week for the first eight weeks of summer break are recorded below.

Mathematics
2 answers:
Rainbow [258]3 years ago
8 0

Answer: The value of the center increases and the distribution has a smaller spread.

Step-by-step explanation:

Re - arranging the first value in ascending order , we have :

12 ,14, 16 , 19, 21 , 22 , 28 , 32

Median = 19 + 21 / 2

            = 40/2

            = 20

Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean

Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32  / 8

Mean = 164/8

Mean = 20.5

Therefore to calculate the standard deviation, we need to calculate the variance, which  is

(12-20.5)^{2} +(14-20.5)^{2} + (16-20.5)^{2} + (19-20.5)^{2} + (21-20.5)^{2} + (22-20.5)^{2} + (28-20.5)^{2} + (32-20.5)^{2}  / 8

Variance = 328/8

Variance = 41

Standard deviation = \sqrt{variance}

S.D = \sqrt{41}

S.D = 6.4

Also re arranging the second values , we have :

20 , 24 , 25 , 31

Median = 24 + 25 / 2

Median = 49/2

Median = 24.5

Calculating the S.D using the same format , the S.D = 3.9

Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread

kvv77 [185]3 years ago
5 0

Answer:

<h2>D. The value of the center increases and the distribution has a smaller spread.</h2>

Step-by-step explanation:

The given group of data is

Group 1: 12, 22, 19, 28, 16, 14, 32, 21.

Then, with the change

Group 2: 12, 22, 19, 28, 20, 31, 24, 25.

Let's compare both groups. The range of the first group is

R_{1}=32-12=20

The range of the second group is

R_{2}= 31-12=19

As you can observe the spread is smaller by 1 unit, because the range indicates the separation or the spread of a distribution. So, the possible correct choices are B and D.

Now, let's find the median to each group. Remember that the median is the value placed right in the middle. In this case, we need to use the mean to find it.

First, we need to order each group.

Group 1: 12, 14, 16, 19, 21, 22, 29, 32.

Group 2: 12, 19, 20, 22, 24, 25, 29, 31.

M_{1}=\frac{19+21}{2}=\frac{40}{2}=20\\  M_{2}=\frac{22+24}{2}=\frac{46}{2}=23

As you can observe, the median is higher for the second group, that means the central value increases.

Therefore, the right answer is D. The value of the center increases and the distribution has a smaller spread.

You might be interested in
The ratio of chaperones to students on a field trip is2:7 there are 14 chaperones on the field trip in all how many chaperones a
Luden [163]

Answer:

14 chaperones, 49 students

Step-by-step explanation:

6 0
3 years ago
A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.
masya89 [10]

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

6 0
2 years ago
Simply the expression 2(10)+2(x+4)
postnew [5]

Step-by-step explanation:

2(10)+2(x+4)

20 + 2x + 8

20 +8 +2x

28+2x

5 0
2 years ago
Read 2 more answers
7,000 is 100 times what number ?
anzhelika [568]

Answer:

70

Step-by-step explanation:

5 0
3 years ago
The specific gravity of a substance is the ratio of its weight to the weight of an equal volume of water. Kerosene weighs 0.82 g
netineya [11]

Answer:

The specific gravity of kerosene is 0.82

Step-by-step explanation:

Let

x -----> the weight in grams of a cubic centimeter of Kerosene

y ----> the weight in grams of a cubic centimeter of water

z ---> the specific gravity of a substance

so

z=\frac{x}{y}

we have

x=0.82\ g\\y=1\ g

substitute the values

z=\frac{0.82}{1}=0.82

8 0
3 years ago
Read 2 more answers
Other questions:
  • If you worked for 6 days for a total of 67.8 hours. If I worked the same number of hours each day, how many hours did I work in
    5·1 answer
  • pleassssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp
    14·2 answers
  • Which best describes the function on the graph?
    13·1 answer
  • mark has a board that is 12 feet long.he cuts the board into 8 pieces that are the same length. how long is each piece?
    6·2 answers
  • Brainliest question please help please help me solve all the two problems please
    15·1 answer
  • The measures of the angles of a triangle are (3x – 100)°, (x – 10)°, and (x – 10)°.
    6·1 answer
  • $297.89 with a 9.5% tax​
    5·1 answer
  • A space ship travels at 24 miles per hour and traveled for 28 hours.
    8·1 answer
  • Which expression is a sum of a number and a product ​
    11·1 answer
  • Find the perimeter and area of the following parallelogram.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!