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
dangina [55]
3 years ago
10

Find the sample Standard deviation and the population standard deviation of the data set 17,37,56,16,12,16,19,45,14,37,21,26,43,

46,42
Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

1. 13.98

2. 14.47

Step-by-step explanation:

The question is on sample standard deviation and population standard deviation

<u>Arrange the data in increasing order</u>

12,14, 16,16,17,19,21,26,35,37,42,43,45,46,56

n=15

<u>Find the mean of the data set</u>

<u />

mean = (12+14+ 16+16+17+19+21+26+35+37+42+43+45+46+56)/15

mean= 29.67 ⇒30

<u>Find the deviations</u>

You subtract the value of mean from each of  the data set given

Deviations= -18, -16, -14, -14, -13,-11, -9,-4,5,7,12,13,15,16,26

<u>Find squares of deviations</u>

= 324, 256, 196, 196, 169, 121, 81, 16, 25, 49, 144, 196, 225, 256, 676

<u>Find sum of squares of deviations</u>

324+ 256+ 196+ 196+ 169+ 121+ 81+ 16+ 25+ 49+ 144+ 196+ 225+ 256+ 676 = 2930

1. Treating the data set to represent an entire population then;

Variance= sum of squares of deviation/number of data set

Variance= 2930/15 = 195.33

Population standard deviation = √195.33 = 13.98

2. Treating the data set as a sample , the number of data set is reduced by one.i.e n= 15-1= 14

Sample Variance=2930/14 =209.29

sample standard deviation= √209.29 = 14.47

You might be interested in
Calculate the area of a parallelogram with a base of 3 feet and a height of 1.2 feet
Fantom [35]

Answer: 3.6

Step-by-step explanation: 3x1.2= 3.6

3 0
3 years ago
Read 2 more answers
Circle the statement that are tru as you solve
shepuryov [24]
What statement are you talking about?
5 0
3 years ago
An organism measures 2.9 x 10-5 centimeters in diameter. What is this number in standard notation?
stepladder [879]

Answer: The answer is A. Hope this helps :)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find three consecutive odd integers so that the sum of twice the first, the second
netineya [11]

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

So

2x+(x+2)+3(x+4)=152

2x + x + 2 + 3x + 12 = 152

6x+14=152

6x = 152 - 14

x=138/6

x=23

So, the numbers are 23, 25 and 27.

7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Margaret [11]

Step-by-step explanation:

You want us to write the sentence for u??

7 0
3 years ago
Read 2 more answers
Other questions:
  • In how many ways can a gymnastics team of 4 be chosen from 9 gymnasts?
    6·1 answer
  • 1. A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts o
    13·1 answer
  • What’s the critical points for this question?
    7·1 answer
  • What is the only natural lake in Texas?
    5·2 answers
  • What’s 8x squared + 4 in vertex form
    7·1 answer
  • Michael Rice’s bike at a constant speed of 12 mph how far can he travel in two hours
    14·2 answers
  • What is the product of 10x^4y^2 and 3xy^3
    11·1 answer
  • the ratio of boys to girls in a class is 7:5 . there are 36 students in the class. how many students are boys​
    9·2 answers
  • Which of the following is a correct interpretation of the expression -3 - 5​
    15·2 answers
  • Find the Balance:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!