Consider the following data Group I Group II Group III Number of observations 50 60 90 Mean 113 120 115 Standard deviation 6 8 7 With respect to the consistencies of the above groups, the increasing order of them is

Question

Consider the following data Group I Group II Group III Number of observations 50 60 90 Mean 113 120 115 Standard deviation 6 8 7 With respect to the consistencies of the above groups, the increasing order of them is (A) I, III, II (B) II, I, III (C) III, II, I (D) II, III, I

Tardigrade Admin · Accepted Answer

We have,

	Group I	Group II	Group III
n	50	60	90
mean	113	120	115
S. D	6	8	7

Coefficient of variation

(C V) = \frac{σ}{x ˉ} \times 100

for group I

C V_{1} = \frac{σ _{1}}{x ˉ _{1}} \times 100% = \frac{6}{113} \times 100%

C V_{1} = 5309%

for group II

C V_{2} = \frac{8}{120} \times 100% = 6.66%

for group III

C V_{3} = \frac{7}{115} \times 100 = 6.086%

Now, if CV of the data is less then data is more consistent.
Since,

C V_{1} < C V_{3} < C V_{2}

∴

Increasing order of consistencies II < III < I

	Group I	Group II	Group III
Number of observations	50	60	90
Mean	113	120	115
Standard deviation	6	8	7

Q. Consider the following data Group I Group II Group III Number of observations 50 60 90 Mean 113 120 115 Standard deviation 6 8 7 With respect to the consistencies of the above groups, the increasing order of them is

I, III, II

II, I, III

III, II, I

II, III, I

Q. Consider the following data

Group I Group II Group III

Number of observations 50 60 90

Mean 113 120 115

Standard deviation 6 8 7

With respect to the consistencies of the above groups, the increasing order of them is