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2 votes
Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest tenth.

X
X
X - X
(X - X)2
1. 900 = 466.2 =
The mean is
433.8
2. 35 = -398.8 = 159,041.4 The variance is 99,667.2
3. 500 = 66.2 =
The standard deviation is
315.7
4. 300 = -133.8 =
n =
4
Σ X =
X =
Σ (X - X)2 = 398,668.6

User Agektmr
by
8.0k points

1 Answer

2 votes

Answer:

I hope it helped

Explanation:

To complete the chart, we can use the given information to calculate the missing values. Here's the completed chart:

X X - X (X - X)^2

900 466.2

35 -398.8 159,041.4

500 66.2

300 -133.8

To find the mean, we sum all the X values and divide by the number of values:

Σ

=

900

+

35

+

500

+

300

=

1735

ΣX=900+35+500+300=1735

Mean

=

Σ

=

1735

4

=

433.8

Mean=

n

ΣX

=

4

1735

=433.8

To find the missing (X - X)^2 values, we can use the given variance and the formula for variance:

Σ

(

)

2

=

398

,

668.6

Σ(X−X)

2

=398,668.6

Variance

=

Σ

(

)

2

=

398

,

668.6

4

=

99

,

667.2

Variance=

n

Σ(X−X)

2

=

4

398,668.6

=99,667.2

To find the standard deviation, we take the square root of the variance:

Standard Deviation

=

Variance

=

99

,

667.2

=

315.7

Standard Deviation=

Variance

=

99,667.2

=315.7

So, the completed chart is:

X X - X (X - X)^2

900 466.2 217,135.6

35 -398.8 159,041.4

500 66.2 4,382.4

300 -133.8 17,109.2

The mean is 433.8, the variance is 99,667.2, and the standard deviation is 315.7

User Daniel Seichter
by
8.6k points
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