What percentage of the general u. s. population have bachelor's degrees? the statistical abstract of the united states, 120th edition, gives the percentage of bachelor's degrees by state. for convenience, the data are sorted in increasing order.
18, 19, 19, 19, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 26, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 29, 29, 30, 32, 32, 33, 33, 35, 36, 39
(a) compute the ¯xx¯ and ss of the data.
¯x= . (round your answer to 2 decimal places.)
s= . (round your answer to 2 decimal places.)
(b) find the z-score of each of the following data value:
x=27, z=. (strictly round your answer to 2 decimal places.)
x=27, z= . (strictly round your answer to 2 decimal places.)
x=19, z= . (strictly round your answer to 2 decimal places.)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.