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
Thepotemich [5.8K]
3 years ago
14

The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop

ulation. What is the value of the numerator of the calculation of the variance?
Mathematics
2 answers:
Oliga [24]3 years ago
7 0
Variance is given by s^2 = [summation (x - mean)^2] / n.
mean = (90 + 75 + 72 + 88 + 85) / 5 = 82
Variance = [(90 - 82)^2 + (75 - 82)^2 + (72 - 82)^2 + (88 - 82)^2 + (85 - 82)] / 5
= [8^2 + (-7)^2 + (-10)^2 + 6^2 + 3^2] / 5
= (64 + 49 + 100 + 36 + 9] / 5
= 258 / 5
=258.


Kazeer [188]3 years ago
5 0
<h2>Answer:</h2>

The value of the  numerator of the calculation of the variance= 258

and Variance= 51.6

<h2>Step-by-step explanation:</h2>

We know that in order to calculate the variance we need to follow following steps:

  •   First calculate mean.
  • Then subtract each of the data points from means and square the difference quantity.
  • Lastly calculate the mean of these squared quantity.

The data points are:

   90, 75, 72, 88, 85

The mean of these data points are:

Mean=\dfrac{90+75+72+88+85}{5}\\\\\\Mean=\dfrac{410}{5}\\\\\\Mean=82

Now on finding the difference terms i.e.

90-82=8

75-82= -7

72-82= -10

88-82=6

and  85-82=3

The square of these difference term is:

8²=64

(-7)²=49

(-10)²=100

6²=36

and  3²=9

Hence, the mean of these squared quantity i.e. Variance is:

Variance=\dfrac{64+49+100+36+9}{5}\\\\\\Variance=\dfrac{258}{5}\\\\\\Variance=51.6

You might be interested in
Y=-x+8 what is this can you tell me
GREYUIT [131]

Answer:

algebra

Step-by-step explanation:- x - 8.

brainliest plzzz

4 0
3 years ago
Read 2 more answers
Use the distributive property of multiplication to find 6×24.<br><br> Hint: 24= 4+20.
Marina86 [1]

Answer:

see explanation

Step-by-step explanation:

6 × 24 ← replace 24 by 4 + 20

= 6(4 + 20) ← multiply each term in the parenthesis by 6

= 24 + 120

= 124

5 0
2 years ago
Anyone know what 68010+01410 is ​
alex41 [277]
Put the first number on top then start adding 6+0, 8+1, 0+4, 1+1, 0+0 and the answer is 69420
7 0
2 years ago
Which expression is equivalent to log Subscript c Baseline StartFraction x squared minus 1 Over 5 x EndFraction?
Harrizon [31]

The equivalent expression of \log_c(\frac{x^2 - 1}{5x}) is \log_c(x^2 - 1) - \log_c(5x)

<h3>How to determine the equivalent expression?</h3>

The logarithmic expression is given as:

\log_c(\frac{x^2 - 1}{5x})

The law of logarithm states that:

log(a) - log(b) = log(a/b)

This means that the expression can be split as:

\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)

Hence, the equivalent expression of \log_c(\frac{x^2 - 1}{5x}) is \log_c(x^2 - 1) - \log_c(5x)

Read more about equivalent expression

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
Fantom [35]

Answer:the number of coach tickets that she bought is 5

the number of first class tickets that she bought is 6

Step-by-step explanation:

Let x represent the number of coach tickets that she bought.

Let y represent the number of first class tickets that she bought.

The total number of people that went for the round trip is 11. This means that

x + y = 11

She was able to purchase coach tickets for ​$340 and first class tickets for ​$1190. She used her total budget for airfare for the​ trip, which was ​$8840. This means that

340x + 1190y = 8840 - - - - - - - 1

Substituting x = 11 - y into equation 1, it becomes

340(11-y) + 1190y = 8840

3740 - 340y + 1190y = 8840

- 340y + 1190y = 8840 - 3740

850y = 5100

y = 5100/850 = 6

x = 11 - y

x = 11 - 6 = 5

4 0
3 years ago
Other questions:
  • ASHANTI PLZ HELP ME
    12·2 answers
  • Is X^2-Y^2=0 a quadratic equation ?
    11·2 answers
  • There are 3 marbles (yellow,blue,and green). You pick a marble and flip a coin. How many outcomes are possible?
    6·2 answers
  • Y=2x+5/9 in point slope form
    10·1 answer
  • Help please 1 please
    6·2 answers
  • Ms. Sims is trying to find out how many residents in her neighborhood are interested in having a yard sale. She decides to just
    7·2 answers
  • I need help on this question
    8·1 answer
  • Mrs.Hameay is making outfits for the school dance team. She can make 1/4 of an outfit per day. How many days should it take Mrs.
    15·1 answer
  • Round 14.5621 to the nearest hundredth. Do not include extra zeros in your answer.
    9·1 answer
  • I'LL GIVE BRAINLIEST, 5 STARS, AND A THANKS! 30 POINTS! I will report people.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!