ACT 1 Alg: Interpret data representations

Welcome to your ACT 1 Alg: Interpret data representations

$Q_{1}:$ In the graph below which data set will have a median greater than the mean?

$A$

$B$

$C$

$D$

$Q_{2}:$ In figure below, the distribution is

skewed to the right

skewed to the left

symmetric

none

$Q_{3}:$ In figure below, one of the following is true

Median $>$ Mean

Median $<$ Mean

Median $=$ Mean

Median $\neq$ Mean

$Q_{4}:$ A ............. shows the change in a certain data over a period of time. The time is always on the horizontal axis, and the variable measured is always on the vertical axis.

line graph

bar graph

histogram

outliers

$Q_{5}:$ A ............. is useful in displaying frequency distributions that are similar to bar graphs, but they have a number line for the horizontal axis. Also, there are no spaces between the bars.

line graph

bar graph

histogram

outliers

$Q_{6}:$ According to the graph below, College $R$ showed the greatest change in enrollment between which two decades?

$1950$ to $1960$

$1960$ to $1970$

$1970$ to $1980$

$1980$ to $1990$

$Q_{7}:$ The histogram above shows the distribution of the number of triples hit by $30$ major league baseball teams in a certain year. Which of the following could be the median number of triples represented in the histogram?

$19$

$32$

$34$

$27$

$Q_{8}:$ According to the graph below, what is the average rate of increase in enrollment per decade between $1950$ and $2000$?

$875$

$750$

$500$

$600$

$Q_{9}:$ Based on the histogram below, what is the average number of hours worked by the $20$ salespersons in Company $G$?

$38$

$36$

$34$

$32$

$Q_{10}:$ The following chart represents the final course grades for students in two math classes. What fraction of students in the courses received a final course grade of $A$ or $B$?

$\frac{1}{9}$

$\frac{2}{9}$

$\frac{1}{3}$

$\frac{4}{9}$

$Q_{11}:$ Based on the information in Figure below, fish from which species are most likely to survive prolonged exposure to bacteria?

Species A

Species B

Species C

Species D

$Q_{12}:$ Based on the information in Figure below, fish from which species are most likely to survive prolonged exposure to bacteria?

Species A

Species E

Species C

Species G

$Q_{13}:$ Each of the following is true EXCEPT:

The interval 80–89 contains the most scores.

The median score is in the interval 70–79.

9 students scored 70 or above.

One student got 100 percent.

$Q_{14}:$ Which of the following is true regarding the two lists of numbers shown in the table below?

The means are the same, and the standard deviations are the same.

The means are the same, and the standard deviations are different.

The means are different, and the standard deviations are the same.

The means are different, and the standard deviations are different.

$Q_{15}:$ The given bar graph shows the number of units sold per popcorn flavor in one morning at the local farmers market. For which two popcorn flavors is the ratio of the number of units sold $1:5$?

Lightly salted : kettle corn

Kettle corn : cheese

Jalapeño : butter

Cheese : butter

$Q_{16}:$ Rigo played $30$ frames of five-pin bowling. Based on the given histogram, what was Rigo’s average number of pins knocked down per frame?

$2$

$3.2$

$5$

$4.2$

$Q_{17}:$ The given table shows the bowling scores for $8$ teams. Based on the table, what is the mean score of the teams?

$169$

$175$

$177$

$186$

$Q_{18}:$ The given bar graph shows the average number of donated items per week at a thrift store for four categories. What is the positive difference between the median and the mean number of items donated per category?

$12.5$

$13$

$13.5$

$14$

$Q_{19}:$ Which of the following best represents the data (Grade, Number of Students)={(A,12), (B,8), (C,4), (D,2)}

A

B

C

D

$Q_{20}:$ The graph above shows the size (in square meters) of each house on Pine Street. How many houses on Pine Street have an area less than $150$ square meters?

$10$

$11$

$12$

$13$

$Q_{21}:$ The dotplot above shows the number of hours Kim worked each weekend since she started her new job. Each dot represents a different weekend. On what fraction of the weekends did Kim work at least $10$ hours?

$\frac{10}{7}$

$\frac{2}{7}$

$2$

$\frac{3}{7}$

$Q_{22}:$ If the slope of a regression line is positive, then the two variables have a

positive association

negative association

no association

none of the above

$Q_{23}:$ Which of the following is true?

A scatter plot with an exponential model shows a positive association that is not linear.

A scatter plot with an exponential model shows a negative association that is not linear.

A scatter plot with a quadratic model shows that as $x$ increases, $y$ rises then falls.

A scatter plot with a quadratic model shows that as $x$ increases, $y$ falls then rises.

$Q_{24}:$ The scatter plot above shows the average scores of $10$ golfers and their weekly practice times. The line of best fit is also shown. What is the average score of the golfer that is farthest from the line of best fit?

$93$

$96$

$98$

$99$

$Q_{24}:$ The scatter plot above shows the average scores of $10$ golfers and their weekly practice times. The line of best fit is also shown. There are two golfers whose average practice time is the same. What is the difference between their average scores?

$4$

$6$

$8$

$10$

$Q_{25}:$ The tables below give the distribution of ratings of two different laptops by $100$ people each. Which of the following is true about the data shown for the ratings of the two laptops?

The standard deviation of the ratings of laptop $A$ is larger.

The standard deviation of the ratings of laptop $B$ is larger.

The standard deviation of the two ratings are the same.

The standard deviation of the two ratings cannot be determined with the data provided.

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