All categories

3 years ago

Find the mean, median, mode, and standard

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

Answer:

Step-by-step explanation:

mean = sum of data / no of data

20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10

760 / 10

to find median u should arrange the data from ascending to descending order.

since the given data is already arranged u dont need to change.

median = (N + 1)/2 (N means no of data)

=10 + 1 / 2

=11 / 2

=5.5

= 5 th term + 6 th term /2

=77 + 85 /2

=162 / 2

=81

mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.

Mode = 77

You might be interested in

Please answer this thanks (●´⌓`●)(●´⌓`●)(●´⌓`●)

Karo-lina-s [1.5K]

Answer:

1) A

2) A

3) D

4) B

5) D

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

If any 2 parallel lines are cut by a transversal line , then :-

its corresponding angles on same side [a pair of an interior angle and it's corresponding exterior angle (but not its adjacent exterior angle)] are equal.
its alternate interior angles are equal.
its alternate exterior angles are equal.

__________________________________________________________

Q1)

According to the figure on the right side of the question paper ,

∠2 & ∠8 are interior angles on the same side
∠2 = ∠7 (∵ Alternate interior angles are equal)

So,

∠7 + ∠8 = 180°

⇒ ∠2 + ∠8 = 180° (∵ ∠2 = ∠7)

Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.

Q2)

According to the figure on the question paper ,

∠5 & ∠3 are exterior angles on the same side
∠1 = ∠5 (∵ Corresponding angles are equal)

So ,

∠1 + ∠3 = 180°

⇒ ∠5 + ∠3 = 180° (∵ ∠1 = ∠5)

Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.

Q3)

According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.

Q4)

According to the figure , m∠1 = 129°.

Also , ∠1 & ∠7 are interior angles on the same side.

⇒ They are supplementary angles.

⇒ ∠1 + ∠7 = 180°

⇒ ∠7 = 180° - 129° = 51°

So , the correct option is B.

Q5)

According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20

Also , ∠2 = ∠6 (∵ Corresponding angles are equal)

⇒ 3x - 10 = 2x + 20

⇒ 3x - 2x = 20 + 10

⇒ x = 30

So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)

Hence , the correct option is D.

6 0

3 years ago

Which set of points lies on the given graph?

beks73 [17]

Set A.

The other points do not lie on the given graph.

7 0

3 years ago

Explain linear function. Provide a real-world example of linear function, explain the rate of change. Include reference(s) in yo

GuDViN [60]

Answer:

See step-by-Step explanation

Step-by-step explanation:

An linear equation is an equation that shows the relationship of 2 numbers, and when one variable decreases at a constant rate, the other will also decrease by a constant rate. One example is when you drive at a constant rate at 50 miles per hour. The distance is y miles, and the time is x hours. The linear equation is y=50x.

8 0

3 years ago

Value of x as (6x+12) = -24?

Masteriza [31]

Answer:

$(6x + 12) = - 24 \\ 6x = - 24 - 12 \\ 6x = - 36 \\ \\ x = \frac{ - 36}{6} \\ \\ x = - 6$

I hope I helped you^_^

3 0

3 years ago

Read 2 more answers

Factor trinomials using trials and error 81a^2 + 153a - 18

mrs_skeptik [129]

We need to facto the trinomial:

$81a^2+153a-18$

Notice that the first term can be factored as:

$(9a)(9a)$

Thus, one possible way of factoring the trinomial is:

$(9a+?)(9a+??)$

When we multiply the terms represented by "?" and "??", we need to obtain -18. Thus, we need to factor -18 and try each pair of possible factors.

We have:

$\text{factors of -18: }\pm1,\pm2,\pm3,\pm6,\pm18$

Notice that:

$\begin{gathered} (9a+?)(9a+??)=81a^2+9a(?)+9a(??)+(?)(??) \\ \\ (9a+?)(9a+??)=81a^2+9a(?+??)+(?)(??) \end{gathered}$

Then, the pair of factors of -18 must satisfy:

$\begin{gathered} (?)(??)=-18 \\ \\ 9a(?+??)=153a \\ 9(?+??)=153 \\ (?+??)=\frac{153}{9} \\ (?+??)=17 \end{gathered}$

One possible pair of factors of -18, whose sum is 17, is: -1 and 18.

Using those numbers, we obtain:

$\begin{gathered} (9a+?)(9a+??) \\ \\ (9a-1)(9a+18) \\ \\ 81a^2+9\cdot18a-9a-18 \\ \\ 81a^2+162a-9a-18 \\ \\ 81a^2+153a-18 \end{gathered}$

Then, we see that:

$(9a-1)(9a+18)$

is a way of factoring the given trinomial. Notice, though, that terms of the second factor can both be divided by 9. Then, we can write the expression as:

$9a+18=9(a+2)$

Then, the trinomial can be factored as:

$9(9a-1)(a+2)$

7 0

1 year ago