Mode+and+Range

__ MODE __ The **mode** is the data item that occurs most often.

 EXAMPLE: The number of points scored in a series of basketball games is listed below. What is the mode of this data set? 8, 12, 4, 8, 9, 2, 5 STEP 1 - Put the numbers in order from least to greatest. 2, 4, 5, 8, 8, 9, 12

STEP 2 - Find the number that occurs the most.

The mode is 8.


 * There can be more than one mode.
 * There can also be no mode at all.
 * There is no mode when NO numbers repeat.
 * When there's more than one mode, 2 numbers repeat the same amount of times.

Examples: Find the mode for each data set.

#1. 92, 88, 84, 88, 76, 88, 76
 * 76, 76, 84, 88, 88, 88, 92
 * Mode = 88

<span style="font-family: 'Times New Roman',Times,serif;">#2. 20, 44, 62, 32, 44, 62
 * <span style="font-family: 'Times New Roman',Times,serif;">20, 32, 44, 44, 62, 62
 * <span style="font-family: 'Times New Roman',Times,serif;">Mode = 44 and 62

<span style="font-family: 'Times New Roman',Times,serif;">#3. 20, 17, 13, 31, 12, 42
 * <span style="font-family: 'Times New Roman',Times,serif;">12, 17, 13, 20, 31, 42
 * <span style="font-family: 'Times New Roman',Times,serif;">Mode = No Mode

<span style="font-family: 'Times New Roman',Times,serif;">#4. On a cold winter day in January, the temperature for North American cities is recorded in Fahrenheit. What is the mode of these temperatures? <span style="display: block; font-family: 'Times New Roman',Times,serif; text-align: left;">-8, 0, -3, 4, 12, 0, 5, -1, 0


 * <span style="display: block; font-family: 'Times New Roman',Times,serif; text-align: left;">-8, -3, -1, 0, 0, 0, 4, 5, 12
 * <span style="font-family: 'Times New Roman',Times,serif;">Mode = 0

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: center;">__RANGE__ <span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 130%; text-align: center;">**Range**: The difference between the largest and smallest number of the set of data.

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 120%; text-align: left;">Examples: <span style="display: block; font-family: 'Times New Roman',Times,serif; text-align: left;">Find the range for each data set.


 * 1) <span style="font-family: 'Times New Roman',Times,serif;">1. 4, 2, 8, 4, 6, 9, 10, 5
 * <span style="display: block; font-family: 'Times New Roman',Times,serif; text-align: left;">10-2= 8
 * <span style="display: block; font-family: 'Times New Roman',Times,serif; text-align: left;">The range is 8.

<span style="display: block; font-family: 'Times New Roman',Times,serif; text-align: left;">#2. 5, 7, 6, 8, 24, 65, 21, 65, 19,
 * <span style="font-family: 'Times New Roman',Times,serif;">65-5= 60
 * <span style="font-family: 'Times New Roman',Times,serif;">The range is 60.


 * 1) <span style="font-family: 'Times New Roman',Times,serif;">3. 67, 45, 14, 78, 6, 1, 8, 23, 89
 * <span style="font-family: 'Times New Roman',Times,serif;">89-1= 88
 * <span style="font-family: 'Times New Roman',Times,serif;">The range is 88.

<span style="font-family: 'Times New Roman',Times,serif; font-size: 110%;">Find the mode and the range for each problem.


 * 1) <span style="font-family: 'Times New Roman',Times,serif;">1. <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: small;"> 13, 18, 13, 14, 13, 16, 14, 21, 13
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: small;">13, 13, 13, 13, 14, 14, 16, 18, 21
 * <span style="font-family: 'Times New Roman',Times,serif;">The mode is 13.
 * <span style="font-family: 'Times New Roman',Times,serif;">21-13= 8
 * <span style="font-family: 'Times New Roman',Times,serif;">The range is 8.


 * 1) <span style="font-family: 'Times New Roman',Times,serif;">2. 1, 2, 4, 7
 * <span style="font-family: 'Times New Roman',Times,serif;">There is no mode.
 * <span style="font-family: 'Times New Roman',Times,serif;">7-1=6
 * <span style="font-family: 'Times New Roman',Times,serif;">The range is 6.


 * 1) <span style="font-family: 'Times New Roman',Times,serif;">3. <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: small;">8, 9, 10, 10, 10, 11, 11, 11, 12, 13
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: small;">The mode is 11 and 10.
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: small;">13-8=5
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: small;">The range is 5.

<span style="font-family: 'Times New Roman',Times,serif;">89, 73, 84, 91, 87, 77, 94
 * 1) <span style="font-family: 'Times New Roman',Times,serif;">4. Cherry took 7 math tests in one marking period. What is the range and mode of her test scores?


 * <span style="font-family: 'Times New Roman',Times,serif;">73, 77, 84, 87, 89, 91, 91, 94
 * <span style="font-family: 'Times New Roman',Times,serif;">The mode is 91.
 * <span style="font-family: 'Times New Roman',Times,serif;">94-73=21
 * <span style="font-family: 'Times New Roman',Times,serif;">The range is 21.

<span style="font-family: 'Times New Roman',Times,serif;">#5. 93, 79, 83, 89, 90, 71, 85


 * <span style="font-family: 'Times New Roman',Times,serif;">There is no mode.
 * <span style="font-family: 'Times New Roman',Times,serif;">71, 79, 83, 85, 89, 90, 93
 * <span style="font-family: 'Times New Roman',Times,serif;">93-71= 22.

Websites I used - http://easycalculation.com/statistics/learn-mode.php http://www.purplemath.com/modules/meanmode.htm http://www.mathgoodies.com/lessons/vol8/mode.html