From the example (in the given picture), try to solve for the mean, variance and standard deviation of the given set below. DEAR TUTORS PLEASE ANSWER THIS DIRECTLY NO TUTORIAL OR EXPLANATION THANKS. 1. 5,3,4,5,6,9 2. 5,10,15,20 3. 12.14.16,18,19,20 4. 21,22,25,26,29,30

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From the example (in the given picture), try to solve for the mean, variance and standard deviation of the given set below. 

DEAR TUTORS PLEASE ANSWER THIS DIRECTLY NO TUTORIAL OR EXPLANATION THANKS.

1. 5,3,4,5,6,9
2. 5,10,15,20
3. 12.14.16,18,19,20
4. 21,22,25,26,29,30

Example:
Detemine the sample mean, sample variance and sample standard deviation of the following data below
coming from the scores of 10 different students in a quiz.
ilidedor onie
MARTORM 19resmie br
4, 12, 14, 15, 20, 19, 18, 17, 16, 25
Step 1. Solve for the mean
Σ
160
4+12+14+15+20+19+18+17+16+25
%3D
= 16
nodydatel 10 ms3to a05neV
X =
10
Step 2. Arrange the values in increasing order and use the mean to determine the individual deviations and
squared deviations.
(x- x)
(x-
4
12
'144
16
-12
-4
4
14
-2
15
-1
1
16
17
4
9.
16
81
18
19
20
3
25
Ex = 160
n = 10
E(x - x)2 = 276
bo usau! s
oiviova
Step 3. Solve for the variances and standard deviation.
For Sample Variance
For Sample Standard Deviation
nt.slurmoavole or
roilstuocg nevip e mo eiginse ond prinime
s2 =
S =
п - 1
п — 1
Oucel orea
276
276
gidaiay tohrséh adooti0 lo nM
s2 =
10 – 1
to 130mn istot erit tyd siesh sris to mua orlt snibivib yd botom
uisy egevevs grd as banalsento yinormao0 om
10 - 1
276
s2 =
eeldsinsV mobrst eto1a o 90ncheV
276
%3D
9 srit tp.agerovs etls es benilab aldsb bequong
onshsv orl o tom eisupe a.nsgm ord mot ancitsl
nciteivab bachnere e es nwood ei
9.
s2 = 30.67
s = 5. 54
%3D
nottudiuai0 gntiom42
Transcribed Image Text:Example: Detemine the sample mean, sample variance and sample standard deviation of the following data below coming from the scores of 10 different students in a quiz. ilidedor onie MARTORM 19resmie br 4, 12, 14, 15, 20, 19, 18, 17, 16, 25 Step 1. Solve for the mean Σ 160 4+12+14+15+20+19+18+17+16+25 %3D = 16 nodydatel 10 ms3to a05neV X = 10 Step 2. Arrange the values in increasing order and use the mean to determine the individual deviations and squared deviations. (x- x) (x- 4 12 '144 16 -12 -4 4 14 -2 15 -1 1 16 17 4 9. 16 81 18 19 20 3 25 Ex = 160 n = 10 E(x - x)2 = 276 bo usau! s oiviova Step 3. Solve for the variances and standard deviation. For Sample Variance For Sample Standard Deviation nt.slurmoavole or roilstuocg nevip e mo eiginse ond prinime s2 = S = п - 1 п — 1 Oucel orea 276 276 gidaiay tohrséh adooti0 lo nM s2 = 10 – 1 to 130mn istot erit tyd siesh sris to mua orlt snibivib yd botom uisy egevevs grd as banalsento yinormao0 om 10 - 1 276 s2 = eeldsinsV mobrst eto1a o 90ncheV 276 %3D 9 srit tp.agerovs etls es benilab aldsb bequong onshsv orl o tom eisupe a.nsgm ord mot ancitsl nciteivab bachnere e es nwood ei 9. s2 = 30.67 s = 5. 54 %3D nottudiuai0 gntiom42
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