5. On a recent statewide math test, the raw score average was 56 points with a standard deviation of 18. If the scores were normally distributed and 16,000 students took the test, answer the following questions.
(a) What percent of students scored below a 20 on
the test? (5 pts)
(b) How many students scored more than a 38? (5)
(c) If the state would like to scale the test so that a
90% would correspond to a raw score that one
and a half standard deviations above the mean,
what raw score is needed for a 90%? (5)
(d) How many of the 16,000 students receive a scaled
score greater than a 90%? (5)
(1) What should the raw passing score be set at so
that no more than the students fail? (5)
(e) The state would like no more than 17 of the
16000 students to fail the exam. What percent of
the total does the 275 represent? Round to the
nearest tenth of a percent. (5)

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

answer: no

step-by-step explanation: because the big angle will spread away the 2 side that it is on and make the opposite side even longer.

the answer is -1 for this question

step-by-step explanation: