15-4+ (7 - 5) what’s that answer

Maths!

Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

X $X-\bar X$ $(X-\bar X)^{2}$

5 5 - 8 = -3 9

8 8 - 8 = 0 0

10 10 - 8 = 2 4

9 9 - 8 = 1 1

6 6 - 8 = -2 4

Total 72 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{72}{9}$ = 8

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

X $X-\bar X$ $(X-\bar X)^{2}$

7 7 - 10 = -3 9

10 10 - 10 = 0 0

12 12 - 10 = 2 4

11 11 - 10 = 1 1

8 8 - 10 = -2 4

Total 90 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{90}{9}$ = 10

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the new standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.

4 0

3 years ago

Solve for x. 2x-4/10 = 2x/20

Nonamiya [84]

I think it's x=419 well i could be wrong just an elementary eight year old

7 0

3 years ago

PLEASE HELP THIS IS DUE TODAY

Neporo4naja [7]

The Mean Absolute Deviation is commonly known as MAD. The correct statement about the situation is D.

<h3>What is the Mean Absolute Deviation?</h3>

The Mean Absolute Deviation, commonly known as MAD is the average of the difference between the mean and the data points, it can also be referred to as the average of the deviations of the data points from the mean.

Given Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.

As it is known that more MAD for data points means more deviation of the data points from the mean, while it is vice versa if it is less. Therefore, we can conclude Last month, the amount of rain that fell each day varied less than the month before.

Hence, the correct statement about the situation is D.

Learn more about the Mean Absolute Deviation:

https://brainly.in/question/8755707

#SPJ1

5 0

1 year ago

Please answer right ill give brainliest to the right answerrrrrrr

morpeh [17]

It’s would be 24 photos per day

3 0

2 years ago

Find the equation of a line that has a slope of 1/2 and passes through the origin.

omeli [17]

Step-by-step explanation:

The equation of a line with slope m and y-intercept b is y = m x + b.

This line goes through the point ( 0 ,0 ), so the y-intercept is zero.

We are given the slope as − 2 / 3.

The equation of the line is y= – 2 / 3 x + 0 = – 2 / 3 x

y = – 2 / 3 x

8 0

2 years ago