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Making Inferences in Math

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Marvin's grades currently in math are 100, 97, 98, 74, and 85. Gavin's grades currently in math are 98, 100, 88, 91, and 65. Find the range of each student's scores and make an inference about their ranges.

4 lines
2.

Ten fourth-grade girls and ten seventh-grade girls were randomly selected. Their heights, in inches, are recorded below. 4th Grade 56, 47, 54, 51, 53, 58, 48, 54, 46, 53 7th Grade 57, 58, 60, 64, 62, 52, 57, 60, 65, 55 Find the range of both classes heights' and make an inference about them.

4 lines
3.

Four fourth-grade girls and four seventh-grade girls were randomly selected. Their heights, in inches, are recorded below. 4th Grade 56, 47, 54, 51 7th Grade 57, 58, 60, 64 Find the range for both classes and make an inference about the range of scores.

4 lines
4.

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 72%, 71%, and 74%, what inference can you make based on those averages?

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5.

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select two answer choices.

a)

Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

b)

In a group of 40 customers, it is expected that about 10 will pay with cash.

c)

About 30% of all the store's customers will pay with a credit card.

d)

A sample of 100 customers would provide less reliable data.

6.

The table shows the monthly sales at a pizza parlor for a 6-month period. Which statement is the best inference that can be made from the table?

a)

January had the lowest sales.

b)

The period with the greatest increase in monthly sales was from May to June.

c)

Sales for July will be greater than $10,000.

d)

The sales will drop over the next 2-month period.

7.

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select all that apply.

a)

Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

b)

In a group of 40 customers, it is expected that about 10 will pay with cash.

c)

About 0.3, or 30%, of all the store's customers will pay with a credit card.

d)

A sample of 100 customers would provide less reliable data.

8.

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 81%, 82%, and 99%, what inference can you make based on those averages?

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9.

A survey was taken at a school of 30 students favorite food. The circle graph shows the number of students who selected each. Based on the information in the graph, which inference about the favorite food of all students appears to be valid?

a)

It is certain that a student will choose Pizza

b)

It is less likely that a student will choose Pasta or Hamburgers over Pizza

c)

It is certain that a student will NOT choose Pasta

d)

It is more likely that a student will choose Pizza over Hamburgers, Pasta, or Other combined

10.

A random survey was conducted at an office about the workers favorite office supply. The results are shown in the table below. Based on the information in the table, which inference about favorite office supply of all the workers appears to be valid?

a)

It is certain that an office worker will NOT choose Tape as their favorite office supply

b)

It is certain that an office worker will choose Paper as their favorite office supply

c)

It is more likely that an office worker will choose Pens, Staplers, or Paper Clips over Paper

d)

More people like Staplers or Paper Clips over Pens/Pencils

11.

A random survey was conducted with 6th and 7th graders of their favorite sport. The results are shown in the bar graph. Based on the information in the graph, which inference about all 6th and 7th graders is valid?

a)

6th graders like Basketball more than Football

b)

More 6th graders than 7th graders like Soccer

c)

6th graders like Soccer more than 7th graders like Baseball

d)

7th graders like Football more than they like Basketball

12.

The circle graph shows the results of a random survey of students who plan to attend the school dance. Based on the information in the graph, which inference about the general population of students is valid?

a)

More 6th graders than 7th and 8th graders plan to attend the dance

b)

8th graders do not like to dance

c)

It is certain that a 6th grader will attend the dance

d)

It is more likely that a 7th grader will attend the dance than a 8th grader attending

13.

A random survey of people at the mall was taken to determine favorite color. The results are shown in the circle graph. Based on the information in the graph, which inference about the general population is valid?

a)

It is more likely someone will choose Blue than Red or Pink

b)

It is certain that someone will NOT choose Black

c)

It is less likely someone will choose Red than Green, Pink, or Purple

d)

More people like Blue than all other colors combined

14.

Jon finds a box of 350 postcards. He selects a random sample of 75 postcards and finds that 27 already have a stamp on them. Predict the total number of postcards in the box with stamps on them.

a)

9,450 postcards

b)

126 postcards

c)

13 postcards

d)

5 postcards

15.

As part of a 7th grade statistics project, the teacher brings a candy jar full of gumballs (red & green). The assignment is to estimate the proportion of red gumballs in the jar. Suppose one of the students draws 25 gumballs from the jar: 8 are red, 17 are green. What is the SAMPLE?

a)

25 gumballs drawn

b)

all gumballs in the jar

c)

the students

d)

the 17 green gumballs

16.

Ella collects data from a random sample of 7th graders. Out of 40 respondents, 7 attend afterschool programs. There are 200 total 7th graders. How many would be expected to attend afterschool programs?

Make an equivalent fraction to solve: 740=?200\frac{7}{40}=\frac{?}{200}  

a)

14 7th graders

b)

28 7th graders

c)

35 7th graders

d)

42 7th graders

17.

River Bluff High School has a student population of 3020. In a sample of 250 students, 170 of them were female athletes. Approximately how many students in the entire population should be female athletes?

a)

170

b)

205

c)

2,054

d)

2,770

18.

Mrs. Debenport surveyed 8 random band members and found that 3 members play more than one instrument. Use her results to predict how many of Meadow Glen's 152 band members play more than one instrument.

a)

3/8

b)

57

c)

95

d)

405

19.

True or False: all samples lead to a good prediction about an entire population.

a)

True

b)

False

20.

Based on the Box Plots, which statement is correct.

a)

The temperatures were higher on average in St. Louis

b)

The temperatures varied more noticeably in Washington, D.C.

c)

The temperatures had a higher measure of center in Washington, D.C.

d)

St. Louis had the hottest recorded temperature