ACT PREP TOPIC 1 DAY 2

​ACT MATH TOPIC 1 DAY 2

By Drew Gillum

important vocab

• Mode- the most of

• Median- middle number

• Mean- average.

Median

Mean

Mode

The easiet one. Mode means the most. Which numbers appears the most. isnt that hard. please dont mess this up.

Multiple Choice

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

• 13
• 12
• 11
• 10

Multiple Choice

Find the mode.

• 4

• 5

• 0

• 1

Multiple Choice

Find the median number of phones.

• 2

• 2.5

• 3

• 1.5

Two-Way Frequency Tables

Vocabulary

• Frequency - the number of times an even occurred

• Relative Frequency - frequency expressed as a percentage of the total

Frequency table

this is a frequency table. it tells you how many of each value there are. so it shoul d be pretty easy to find a few things.

Mode number of pets?

Total number of Students:

Median number of pets?

Total number of pets?

Mean number of pets per student?

Box Plot

• A box plot—also called a box and whisker plot—displays the five-number summary of a set of data. In a box plot, we draw a box from the first quartile to the third quartile.

Box Plot

​​The five-number summary:

Min: Minimum or lowest number in the data set
Max: Maximum or highest number in the data set
Median: The value in the middle of the data set when the numbers are in order from least to greatest
Lower Quartile: The median of the lower half of the data when the numbers are in order
Upper Quartile: The median of the upper half of the data when the numbers are in order

• The Box and Whisker plot is divided in to 4 parts.

• Each Part is 25% of the data set or ¼.

Analyzing the Data Set

​Dot Plot

​Organizes a set of data on a number line.

Dot Plots

• Displays the frequency (how often) of each data value in a data set.

• Sometimes called a line plot

• The total number of x's or dots equals the total number of data values in the set of data.

Multiple Choice

How many students spent 7 hours doing homework that week?

• 1

• 3

• 5

• 6

Multiple Choice

What day were the least amount of cars sold?

• Monday

• Tuesday

• Thursday

• Saturday

Histograms

• A histogram is a graphical display of data using bars of different heights.

• In a histogram, each bar groups numbers into intervals or ranges or numbers.

Histograms can tell us:

• Mode

• Frequency

• Intervals

Multiple Choice

Which age group had the most students visit the zoo?

• 5-6

• 7-8

• 9-10

• 11-12

Multiple Choice

The histogram shows the ages of the members of the community chorus. How many people in the chorus are between 20 and 30?

• 4

• 15

• 12

3

Example 1

4

Example 2

10

Example 6

11

PRACTICE PROBLEM 1

Multiple Choice

If a = 9, b = 1, and c = –5, what does (a + b – c)(a – b + c) equal? 

• -25

• 15

• 25

• 45

• 55

Multiple Choice

A drone costs $280, but it goes on sale for $224. What is the percent change compared to the original price?

• increase of 20 percent

• increase of 25 percent

• decrease of 25 percent

• decrease of 20 percent

Multiple Choice

Brooklyn scored a 65 percent on a test, and on the re-take she scored a 91. By what percent did her score increase, compared to her original score?

• 13 percent

• 26 percent

• 28 percent

• 40 percent

Multiple Choice

A contestant in a singing competition receives scores of 8.8, 8.5, 9.8, and 9.3 from four judges. If she needs a 9.0 or higher to advance, what is the lowest score she can receive from the fifth and final judge to advance?

• 8.2

• 8.5

• 8.6

• 10

Multiple Choice

In the first 8 games, the basketball team scored the following number of points:

54, 48, 66, 71, 57, 52, 64, 59

What is the median number of points?

• 57

• 58

• 59

• 60

Multiple Choice

At the start of a card game, what is the chance that a player draws a king, keeps it in her hand, and then draws a second king? (Note: there are 52 cards in a deck, including 4 kings.)

• 1/169

• 1/221

• 4/663

• 12/51

Multiple Choice

Which of the following is incorrect?

• $$-\frac{1}{5}<\frac{4}{5}$$

• $$\frac{4}{5}>-\frac{1}{5}$$

• $$-\frac{1}{5}>\frac{4}{5}$$

• $$\frac{1}{5}>-\frac{4}{5}$$

• $$\frac{4}{5}>\frac{1}{5}$$

Multiple Choice

Megan is making fruit salads and fruit smoothies. The salad recipe calls for 1/6 cup of strawberries, and the smoothie recipe calls for 2/3 cup of strawberries. If Megan wants to make 2 fruit salads and 2 fruit smoothies, how many cups of strawberries does she need?

• 5/12

• 5/6

• 1 1/6

• 1 2/3

• 1 5/6

Multiple Choice

Do more people enjoy Ham and pineapple or Pepperoni and Pepper?

• Pepperoni and Pepper

• Ham and Pineapple

Multiple Choice

• A

• B

• C

• D

• E

Multiple Choice

• A

• B

• C

• D

• E

Multiple Choice

• A

• B

• C

• D

• E

Multiple Choice

• A

• B

• C

• D

• E