Measures of Dispersion Test

Result

Measures of Dispersion Test - 6

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

Find the Quartile Deviation for the following data: 391, 384, 591, 407, 672, 522, 777, 733, 1490, 2488

A
248.231

B
267.215

C
134.213

D
276.125

Solution

Arrange in ascending order, 384, 391,407, 522, 591, 672, 733, 777, 1490, 2488

N= 10

Quartile deviation = (Q₃-Q₁)/2= (955.25-403)/2= 276.125

Q₃= [3(N+1)/4]^th observation= [3(11)/4]^thobservation= [8.25]^th observation= 8^thobservation + 0.25*713=777+178.25= 955.25

Q1= [(N+1)/4]^th observation= [(11)/4]^thobservation= [2.75]^th observation= 2^ndobservation+ 0.75*16= 391+12= 403

Question 2

1 / -0

Calculate mean deviation from mean for the following data: 100, 150, 200, 250, 360, 490, 500, 600, 671

174.44

172.56

173.45

178.23 Solution

X	IX-x̅I
100	269
150	219
200	169
250	119
360	9
490	121
500	131
600	231
671	302
ΣX	Σ\|X-x̅\|=1570

M.D= Σ|X-x̅|/N= 1570/9= 174.444

Question 3
1 / -0

One of the severe limitation of mean deviation is

A
It is affected by extreme observations.

B
It's ignores the negative deviations .

C
Both .

D
None.