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Bad White [126]
3 years ago
6

The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, a

nd interquartile range of the data
Mathematics
2 answers:
JulsSmile [24]3 years ago
7 0

The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.

In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.

Answer:

Kindly check explanation

Step-by-step explanation:

Firstly, we need to write out values if the dataset :

Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.

For the stem plot attached :

Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The mean :

Σx / n

n = sample size = 10

= 225 / 10

= 22.5

Arranging data on ascending order :

08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The median :

1/2(n+1)th term

1/2(11)th term = 5.5 th term = (5+6)th term / 2

Median = (19+22)/2 = 20.5

Mode = all dataset (since they all occur once).

Range = (maximum - minimum) = 40 - 8 = 32

Interquartile range : (Q3 - Q1)

Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term

Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33

Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term

Q1 = (12+17)/2 = 14.5

Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5

Karo-lina-s [1.5K]3 years ago
6 0

Answer:

Median: 11

Mode: 3

Range: 30

Step-by-step explanation:

Just took the test :D

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Owen solves the equation below and his steps are shown. When he plugged his solution back into the original equation, he did not
Usimov [2.4K]

Answer:

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

The correct value of x is 3.6

Step-by-step explanation:

To solve the given equation, we will follow the steps below;

3 (x-4) = -4 - 2 (x-5)

step 1 : open the parentheses

That is,   3x - 12 = -4 - 2x  + 10

Step 2 : simplify, that is, yo can add the or subtract like terms

hence

3x - 12 = -2x -4 + 10

step 3 :

3x - 12 = -2x + 6

step 4 : Add 2x to both-side of the equations in order to nullify the 2x on the right-hand side of the equation

3x + 2x - 12  = -2x + 2x + 6

step 5:

5x - 12  = 6

step 6:  Add 12 to both-side of the equation

5x - 12 + 12  = 6 + 12

step 7

5x  = 18

Step 8: divide both-side of the equation by   5

5x/5 = 18/5

step 9:

x =3.6

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

That is why he got the wrong answer.

4 0
3 years ago
What is 1.024242424 as a fraction
Oxana [17]
It should be 42/41 is the closest
5 0
3 years ago
If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.
siniylev [52]
The angle between two vectors is given by:
 cos (x) = (v1.v2) / (lv1l * lv2l)
 We have then:
 v1.v2 = (2, -5). (4, -3)
 v1.v2 = (2 * 4) + (-5 * (- 3))
 v1.v2 = 8 + 15
 v1.v2 = 23
 We look for the vector module:
 lv1l = root ((2) ^ 2 + (-5) ^ 2)
 lv1l = 5.385164807
 lv2l = root ((4) ^ 2 + (-3) ^ 2)
 lv2l = 5
 Substituting values:
 cos (x) = (23) / ((5.385164807) * (5))
 x = acos ((23) / ((5.385164807) * (5)))
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 Answer:
 
The angle between the two vectors is:
 
x = 31.33 degrees
3 0
2 years ago
Help me solve for 16 and 17
Makovka662 [10]

Answers:

16. 6-x= 10

move +6 to the other side

sign changes from +6 to -6

6-6-x= 10-6

-x= 4

Mutiply both sides by -1

(-1)(-x)= (-1)(4)

x= -4

17. 4a+3= -9

move +3 to the other side

sign changes from +3 to -3

4a+3-3= -9-3

4a= -12

divide both sides by 4

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3 0
3 years ago
Read 2 more answers
A quadratic function that has the vertex (-2, -4) and passes through the point (-1, -6)
spayn [35]

Answer:

f(x) = -2 (x + 2)² - 4  

Step-by-step explanation:

f(x) = a (x - h)² + k     (h , k) is vertex    h = -2     k = -4

pass point (-1 , -6)     f(x) = -6 and x = -1

-6 = a (-1 - (-2))² + (-4)

-6 = a - 4

a = -2

quadratic function: f(x) = -2 (x + 2)² - 4

5 0
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