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3 years ago

Is mode a measure of center of center or a measure of variation

Mathematics

1 answer:

Sloan [31]3 years ago

6 0

Answer:

a measure of central tendency

Step-by-step explanation:

The mode of a given data set is a measure of central tendency.

Statistical tools are usually classified as either a measure of central tendency or a measure of dispersion.

A measure of central tendency is a parameter that tends to determine how close a data is to the center. These parameters are mean, median and mode

A measure of dispersion measures how spread a data set is from the mean. These parameters are standard deviation, variance e.t.c

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3 years ago

Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°

Mashutka [201]

Answer:

$Z_{1} Z_{2} = 3 i$

Step-by-step explanation:

Step(i):-

Given z 1 = 3(cos 37° + i sin 37°)

z 2 = (cos 53° + i sin 53°)

by using complex numbers

$Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}$

$Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}$

step(ii):-

now

$Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})$

z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°

z ₂ = (cos 53° + i sin 53°) = c i s 53°

we will use formula

$Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})$

$Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )$

$Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))$

$Z_{1} Z_{2} = 3(0 + i (1)) = 3 i$

Conclusion:-

$Z_{1} Z_{2} = 3 i$

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3 years ago

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Sedaia [141]

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