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2 years ago

7

The graph below represents the distribution of scores on a placement test for students at Central High School. Select the statem

ent that is true about the distribution of scores.
a.
The median is the greater than the mode.
c.
The median and mode are the same.
b.
The median is the less than the mode.
d.
The mean and mode are the same.

1 answer:

Vera_Pavlovna [14]2 years ago

4 0

Answer:

where is the graph??

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

From the question we are told that

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$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

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