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3 years ago

Help me with finding the MAD for math please!!!!

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

The average (mean) absolute deviation of a data set is the average of the absolute deviations from a central point.

so we need to calculate the mean of this data set firstly:::
the mean of (7,10,19,14,3) = $\frac{7+10+19+14+3}{5} =10.6$

then we will calculate how far each record is from this mean:::
7-10.6 = - 3.6
10-10.6 = - 0.6
19-10.6 = 8.4
14-10.6 = 3.4
3-10.6 = - 7.6

BUT as it requires the ABSOLUTE mean deviation, we will take the absolute values of the previous results

3.6 & 0.6 & 8.4 & 3.4 & 7.6

Adding them together and divide by the records number (5)::

ABSOLUTE mean deviation = $\frac{3.6+0.6+8.4+3.4+7.6}{5} =4.72$

Done!!!

I hope you got the idea

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A survey of 700 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 59%

Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes $n_{1} = 400 and n_{2} = 300$

Proportion of mean $p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52$

Null hypothesis H0 : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

Alternative hypothesis H1:- p1 ≠ p2

a) The test statistic is

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

on calculation we get p = 0.56

now q =1-p = 1-0.56=0.44

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }\\ =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300} }$

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

conclusion:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) 95% confidence intervals

The confidence intervals are P± 1.96(√PQ/n)

we know that = $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of confidence intervals (0.523 ,0.596)

3 0

3 years ago

I need help with this question

timofeeve [1]

Answer:

67 people i believe. I am not 100% sure..

Step-by-step explanation:

3 0

3 years ago

Please help me due tomorrow

Tom [10]

Given :-

The slope of the line through points (3,y) and (4,10) is 7 .

To Find :-

The value of y .

Solution :-

As we know that the slope of the line is difference of ordinate divided by the difference of absicca as ,

$\longrightarrow$ m = y -10 / 3 - 4

$\longrightarrow$ 7 (-1) = y -10

$\longrightarrow$ -7 = y -10

$\longrightarrow$ y = 10 -7

$\longrightarrow$ y = 3

Hence the required answer is 3.

5 0

3 years ago

All of the following operations are used to solve for X in the equation below except one. Which one is it ? 9x-2=4x+8 A. Additio

gtnhenbr [62]

Step-by-step explanation:

9x - 2 = 4x + 8 → (9-4)x = 8 + 2 → 5x = 10 → x = 10/2 = 5

C. multiplication

Multiplication not used

5 0

3 years ago

A group of students went on a field trip. There were 3 boys for every 4 girls in the group. If there were 20 girls, how many stu

guajiro [1.7K]

Answer:

35 students

Step-by-step explanation:

So if every 3 boys there is 4 girls you can solve that there is 5 times the amount of girls to get to 20. So to solve for the boys you do the same.

3 x 5 = 15

That means there are 15 boys and 20 girls but we want to know the total so what you do is just add 15+20=35

So 35 total students.

Hope that helps and have a great day!

4 0

3 years ago