Monday, May 8th • Write Down Math Homework• Complete warm-up

1.Solve: 2. Simplify:

Warm up5 4 24x x

3

5 ( 10)2 5

Week at a glanceToday: Math day-Box and whiskers 1 Tuesday: Science-constellations Math-Box and whiskers 2 Wednesday: Normal schedule field trip.Thursday: Review for Science Test Friday: Galaxy test

Monday 5/14: MATH TEST

Quiz Answers

TOMORROW

Box &

Whisker

New Unit

Part 1: Means of Central

Tendency

The mean is the sum of the data values divided by the number of data items. The median is the middle value of an odd number of data items arranged in order. For an even number of data items, the median is the average of the two middle values.

The mode is the value or values that occur most often. When all the data values occur the same number of times, there is no mode.

The range of a set of data is the difference between the greatest and least values. It is used to show the spread of the data in a data set.

The mean is sometimes called the average.

Helpful Hint

Find the mean, median, mode, and range of the data set.

4, 7, 8, 2, 1, 2, 4, 2

Practice Problem #1

Find the mean, median, mode, and range of the data set.4, 7, 8, 2, 1, 2, 4, 2

mean:Add the values.4 + 7 + 8 + 2 + 1 + 2 + 4 + 2 =

Divide the sum by the number of items.

30

30 3.75

8 items

The mean is 3.75.

sum

8 =

Mean

Find the mean, median, mode, and range of the data set.4, 7, 8, 2, 1, 2, 4, 2

median:Arrange the values in order.1, 2, 2, 2, 4, 4, 7, 8

There are two middle values, so find the mean of these two values.

The median is 3.

2 + 4 = 6 6 2 = 3

Median

Find the mean, median, mode, and range of the data set.4, 7, 8, 2, 1, 2, 4, 2

mode:The value 2 occurs three times.1, 2, 2, 2, 4, 4, 7, 8

The mode is 2.

Mode

Find the mean, median, mode, and range of the data set.4, 7, 8, 2, 1, 2, 4, 2

range:Subtract the least value1, 2, 2, 2, 4, 4, 7, 8

The range is 7.

from the greatest value.

– 1 = 8 7

Range

You Try!Use the data below for Questions 1-4.

14, 25, 37, 53, 26, 12, 70, 31

1. What is the mean?2. What is the median?3. What is the mode?4. What is the range?

33.528.5

none

58

Part 2: Box and Whisker

Learn to display and analyze data inbox-and-whisker plots.

Box & Whisker Plots

Vocabularybox-and-whisker plotlower quartileupper quartileinterquartile range

A box-and-whisker plot uses a number line to show the distribution of

a set of data.

• To make a box-and-whisker plot, first divide the data into four equal parts using quartiles.

• The median, or middle quartile, divides the data into a lower half and an upper half.

• The median of the lower half is the lower quartile, and the median of the upper half is the upper quartile.

• The interquartile range is from the lower quartile to the upper quartile

Recipe1. Order numbers from least to

greatest 2. Find the Least and greatest value:

WHISKERS 3. Find the MEDIAN: divides data in

half 4. Find the median of the lower half:

LOWER QUARTILE 5. Find the median of the upper half:

UPPER QUARTILE6. Plot all five points. MEDIANS

make box

To find the median of a data set with an even number of values, find the mean of the two middle values.

Caution!

4, 6, 8, 10Median: 7

Use the data to make a box-and-whisker plot.

73 67 75 81 67 75 85 69

Step 1: Order the data from least to greatest. Then find the least and greatest values, the median, and the lower and upper quartiles.

The least value. The greatest value.

67 67 69 73 75 75 81 85

Find the median.67 67 69 73 75 75 81 852+

=74

Problem #1

67 67 69 73 75 75 81 85

lower quartile = 67 + 692

= 68

upper quartile = 75 + 812 = 78

Step 1 Continued

Step 2: Draw a number line.

64 66 68 70 72 74 76 78 80 82 84 86

Above the number line, plot points for each value in Step 1.

Step 3: Draw a box from the lower to the upper quartile. Inside the box, draw a vertical line through the median.Then draw the “whiskers” from the box to the least and greatest values.

ClassworkReteach

Box and Whisker

Practice, Practice, PracticeHomework

Practice CBox and Whisker

Plots