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