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A study looked at the running times of certain movies released in 2005, as shown to the right. The standard deviation of these running times

A study looked at the running times of certain movies released in 2005, as shown to the right. The standard deviation of these running times is

19.5

minutes, and the quartiles are

Q1=97

minutes and

Q3=117

minutes.

a) Describe the spread in running times based on

i) the quartiles.

ii) the standard deviation.

b) Should there be any concerns about using either of these descriptions of spread? Explain.

Question content area bottom

Part 1

a) Describe the spread in running times.

i) The middle

enter your response here%

of the movies ran between

97

and

117

minutes.

Part 2

ii) On average, movie lengths varied from the

upper quartile

mean

lower quartile

standard deviation

range

median

run time by

19.5

minutes.

Part 3

b) Since the distribution appears to be

skewed to the left,

skewed to the right,

symmetric,

there

be concerns about using these descriptions. For these data,

both descriptions

the standard deviation

the quartiles

neither description

is(are) misleading.

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