Draw a number line and show all numbers that are 2/3 of a unit to the left of 1/2

See below.

Step-by-step explanation:

Draw a number line and draw points corresponding to -1, 0, and 1.

Mark 6 equal divisions between -1 and 0. Mark 6 equal divisions between 0 and 1.

Now you have the units between 1 and 0 and between 0 and -1 divided into sixths.

Now look at the point that corresponds to 1/2. It is the middle one-sixth mark between 0 and 1. Start there. That is 3/6 which is the same as 1/2.

You need to go 2/3 of a units to the left of 1/2.

2/3 = 4/6, so starting at 1/2, go 4 one-sixth marks to the left.

Now you are 2/3 unit to the left of 1/2.

See the number line below.

                -1                              0                              1

<+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+>

Start with a mark on 1/2, S in bold below.

                -1                              0             1/2             1

<+---+---+---+---+---+---+---+---+---+---+---S---+---+---+---+---+>

Now go 2/3 unit to left. 2/3 = 4/6, so go 4 one-sixth divisions to the left.

The point labeled with a bold E is the result. It is -1/6

                -1                      -1/6   0             1/2             1

<+---+---+---+---+---+---+---E---+---+---+---S---+---+---+---+---+>

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.