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3 years ago

Which measure of central tendency refers to the value that appears most frequently in a data set?

Physics

2 answers:

Sloan [31]3 years ago

5 0

The other answer is correct, but doesn't give the answer needed, so continuing with that:

Median- Separates data sample, "middle" value.

Mode- The value that appears most often.

Mode is a measure of central tendency that refers to the value that appears most frequently in a data set.

For anyone still looking for the answer = )

(This answer was copied/pasted from another question, which I also answered.)

Bezzdna [24]3 years ago

3 0

Median and Mode;

The only measures of central tendency that can be used for ordinal data.

Values are ranked relative to each other but are not measured absolutely.

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A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle

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Answer:

a) 5.09 seconds

b) 107.07 meters

Explanation:

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$X_{t`2} = v_i \sqrt{\frac{2X}{a} } + 0.5 a\sqrt{\frac{2X}{a} }\\X_{t`2} = (v_i + 0.5 a) \sqrt{\frac{2X}{a} }\\X_{t`2} = ( 19 + 2) \sqrt{\frac{2* 52}{4} }\\X_{t`2} = 21 * 5.09\\X_{t`2} = 107.07$

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3 years ago

A mass of 150 g stretches a spring 1.568 cm. If the mass is set in motion from its equilibrium position with a downward velocity

nadezda [96]

Answer:

$u(t)=\frac{1}{5} sin\ (25t)$

Explanation:

Given:

mass of the body stretching the spring, $m=150\ g$

extension in spring, $\Delta x=1.568\ cm$

velocity of oscillation, $u'(0)=20\ cm.s^{-1}$

initial displacement position of equilibrium, $u(0)=0$

According to given:

$m.g=k.\Delta x$

$150\times 980=k\times 1.568$

$k=93750\ dyne.cm^{-1}$

we know frequency:

$\omega=\sqrt{\frac{k}{m} }$

$\omega=\sqrt{\frac{93750}{150} }$

$\omega=25$

Now, for position of mass in oscillation:

$u= A.sin\ (\omega.t)+B.cos\ (\omega.t)$

$u= A.sin\ (25.t)+B.cos\ (25.t)$

at $t=0;\ u(0)=0\ \Rightarrow A=0$

∴ $u(t)=B.sin\ (25.t)$

∵ at $t=0;\ u'(0)=20\ cm.s^{-1}\ \Rightarrow B=\frac{1}{5}$

$u(t)=\frac{1}{5} sin\ (25t)$

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3 years ago