PRE-TEST
PRE-TEST
CE
o Mean (average)
o The Mean is computed by
adding all of the numbers in the
data together and dividing by the
number elements contained in
the data set.
o Example 1:
o Data Set = 2, 8, 9, 3,9, 4, 7,
oNumber of Elements in Data Set = 7
oMean =
oMean = 6
o Median : (middle)
o The Median of a data set is dependent on
whether the number of elements in the data
set is odd or even.
o First reorder the data set from the smallest
to
the largest
o Mark oP high and low values until you
reach the middle.
o If there 2 middles, add them and divide by
2.
o Examples :
Odd Number of Elements
o Data Set = 2, 5, 9, 3, 5, 4, 7
o Reordered = 2, 3, 4, 5, 5, 7, 9
o Median = 5
o Examples :
Even Number of Elements
o Data Set = 2, 5, 9, 3, 5, 4
o Reordered = 2, 3, 4, 5, 5, 9
Median =
Median = 4.5
o Mode : (most often)
o The Mode for a data set is the element that
occurs the most often.
o It is not uncommon for a data
set to have more than one mode.
o This happens when two or more
elements occur with equal frequency in
the data set.
Different kind of mode
1 2
Unimodal or Bimodal = it
Monomodal = it has
has two modes
only one mode
Example: Example:
5, 10, 10, 10, 11, 13, 5 2, 3, 3, 4, 5, 5, 6, 9,
10, 11
Different kind of mode
3 4
Multimodal = it NO MODE = If every measures
appears the same number of times, then
has more than the set has no mode.
two modes Example 1:
Example: 6, 10, 9, 11, 13, 5 NO MODE
1, 1, 2, 3, 3, 4, 5, 5, Example 2:
7, 10, 11 6, 6, 9, 9, 13, 13, 5, 5 NO MODE
On his day off, Lee took a trip to the zoo.
Example #1 He drove an average speed of 65mph,
and it took him two-and-a-half hours to
get from his house to the zoo. How far is
the zoo from his house?
Solution:
Step 1: Identify the given.
Step 2: Solve using formula d=rt
Step 3: Final Answer The distance Lee drove from his house
to the zoo is 162.5 miles.
After work, Jane walked in her
neighborhood for a half hour. She
Boardwork#1 walked a mile-and-a-half total. What was
her average speed in miles per hour?
After work, Jane walked in her
Answer Key neighborhood for a half hour. She
Boardwork#1 walked a mile-and-a-half total. What was
her average speed in miles per hour?
Solution:
Step 1: Identify the given.
Step 2: Solve using formula d=rt
Step 3: Final Answer
Jane walked 3 miles per hour.
Word problem involving recipe
Example #2:
A recipe requires 3/4 cups of milk.
Paula is making 1/2 of the recipe.
How many cups will Paula use?
Boardwork#2
Answer Key
Boardwork#2
Example #3
Kevin cooked three pounds of
mashed potatoes for a dinner party.
Boardwork #3 The guests only ate two-thirds of the
amount he cooked. How much did
they eat?
Kevin cooked three pounds of
Answer Key
mashed potatoes for a dinner party.
Boardwork #3 The guests only ate two-thirds of the
amount he cooked. How much did
they eat?
Seatwork
Directions: Find the mean, median, and mode of the
following set of data.
Below are the daily wages, in pesos of ten employees. Find the
mean salary.
320,350,320,500,350,400,500,320,350,350
Directions: Find the mean, median, and mode of the following set of
data.
1. The sizes of 15 classes selected at random are:
40, 39, 42, 48, 45, 40, 42, 49, 40, 43, 42, 41, 44, 38, 46
2. Below are the daily wages, in pesos of ten employees.
Find the mean salary.
320,350,320,500,350,400,500,320,350,350
3. The following are the hourly rates of nine employees.
50, 50, 55, 60, 60, 65, 65, 65, 130
Answer Key
Seatwork
Solution: To find the distance travelled per mile, we divide 40 miles
by 3 gallons: 40 ÷ 3 = 13 1/3 or 13.33. The family travels 13 1/3 or
13.33 miles for each gallon of gas.
Evaluation
Evaluation
1. C
2. B
3. B
4. C
5. D
Answer key 6. A
7. D
8. A
9. C
10.D
