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
Volgvan
3 years ago
10

Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles.

Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

You might be interested in
When plotting points on the coordinate plane below, which point would lie on the y-axis?
raketka [301]
1, 0 , 8, and 2 would all lie on the y-axis
5 0
3 years ago
PLEASE HELP I NEED THIS TO BE DONE
yanalaym [24]
To find the mean you add all the #'s and divide by how many there are. 4+5+6+7 +8= 30 /5 is 6. Tara is right. 
5 0
2 years ago
Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number o
Sedaia [141]

Answer:

6 miles

Step-by-step explanation:

first thing you need to do is find a number under 18 that can be multiplied by 3

3

6

9

12

15

18

and 18 is the 6th number and is 18, you can add the 2 extra fixed charge to that

they can travel 6 miles

but if you're talking about a fixed charge per mile then dont use this! ^^

8 0
3 years ago
Read 2 more answers
What is the COMPOUND INTEREST earned on a $10,000 deposit for 15 years at a compound interest rate of 10%. *
Varvara68 [4.7K]
10,000 x 15 x 0.1 = 15,000
4 0
2 years ago
Read 2 more answers
If you wanted to put a fence around your garden, would you find the perimeter or the area of the garden??
4vir4ik [10]

Answer:

U would find the perimeter.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Find the volume in the cylinder in terms of π (pi) and to the nearest tenth .
    13·2 answers
  • Mindy spent $6.24 fir a new binder,$1.95 for a notebook,and $5.59 for a new pack of her favorite mechanical pencils. About how m
    6·1 answer
  • A court reporter is transcribing an accident report from Germany. The report states that the driver was traveling 80 kilometers
    13·2 answers
  • Which of the following are necessary when proving that the opposite angles of a parallelogram are congruent? A. Opposite sides a
    5·2 answers
  • What is 11/12 minus 3/8
    14·1 answer
  • URGENT!!! SOMEONE HELP
    12·1 answer
  • A rectangular room is 12.5 feet wide and 14 feet long. What is the perimeter of the room?
    13·2 answers
  • Evaluate 60 divided by 6+9 subtract three
    15·2 answers
  • 100 POINTS plz dont answer unless you know how to solve this.
    7·1 answer
  • Six less than a number is twenty
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!