Free Printable Unit 6 Review - Data & Statistics

Worksheets

Unit 6 Review - Data & Statistics

Total questions: 56

Worksheet time: 2hrs 13mins

Name

Class

Date

How do you find the median of a data set that has two middle numbers?

You pick the higher middle number

You pick the lower middle number

Add the two middle numbers and divide it by 2

Subtract the two middle numbers and divide by 2

Which measure of central tendency would best represent this data? (a)

Choose from the below words

Mean

Median

Mode

Range

Which measure of central tendency best represents this data? (a)

Choose from the below words

Mean

Median

Mode

Range

The mean of this data set is 17.8. What would happen to the mean if 40 was added to the data set? (a)

Choose from the below words

The mean would not change

The mean would go up

The mean would go down

Which class has the higher median? (a)

Choose from the below words

1st period

2nd period

They have the same median

Which class did better on the test? (a)

Choose from the below words

1st period

2nd period

They both performed the same

How is the data distributed in this histogram? (a)

Choose from the below words

Symmetrically

Skewed Right

Skewed Left

How is the data distributed in this histogram? (a)

Choose from the below words

Symmetrically

Skewed Right

Skewed Left

Calculate the MEAN for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

10.

Calculate the MEDIAN for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

11.

Calculate the MODE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7 (a)

Choose from the below words

7.44

7 and 8

12.

Calculate the RANGE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

13.

Calculate the relative frequency of having an IQ score in the 131-140 range. (200 7th graders were surveyed). (a)

Choose from the below words

20%

15.5%

14.

Calculate the 5 number summary for the following data. You may use your graphing calculator. (a)

Choose from the below words

1791, 3162, 6163, 8578, 9400

1791, 3815, 6472, 8924.5, 9400

6197.44

7609

15.

Find the Inter-Quartile Range (IQR). You may use your graphing calculator.

16.

Find the Mean Absolute deviation of the following data: 4, 5, 5, 4

Round your answer to the nearest tenth.

17.

Find the MAD of the following data: 14, 17,18, 22, 24

Round your answer to the nearest tenth.

18.

What is the y intercept for this line of best fit?

19.

What is an outlier?

A point far away from the other data points.

Any point NOT on a good line of fit.

Any point on a good line of fit.

The y-intercept.

20.

Match the following.

Positive Linear Association

Negative Linear Association

Nonlinear Association

No Association

21.

The data set below has an outlier of 42.2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42What effect does removing the outlier have on the distribution of the data? (a)

Choose from the below words

The mean will decrease

The median will decrease

The mean will increase

The median will increase

22.

Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?

The low score causes the median to increase.

The low score causes the median to decrease.

The low score causes the mean to increase.

The low score causes the mean to decrease.

23.

Estimate the correlation coefficient (a)

Choose from the below words

r = 1

r = -1

r ≈ -0.8

r ≈ 0.8

r ≈ -0.5

24.

Which graph shows the best trend line for the scatter plot? (a)

Choose from the below words

Graph A

Graph B

Graph C

Graph D

25.

Which of the following is the BEST description of the data?

The mean is about 29.1, there is a peak at 30, gaps at 28 and 32, data is not symmetrical

The median is 29, there is a cluster from 26 – 31, peak at 29, no outlier

The mode is 29, there is a gap from 28 – 31, peak at 29, no outlier

The range is 7, there is a peak at 29, cluster from 29 – 31, gaps at 28 and 32

26.

27.

Don raises dogs. The heights, in centimeters, of Don's dogs are listed.

90,98,96,95,97,96,99,91,93,98,96,97,95,96

Which of the following statements accurately describes the shape, center, and spread of the data?

The mode is 96, there are gaps at 92 and 94, the distribution is skewed left, and 90 and 91 are outliers

The range is 9, there is a gap at 94, the distribution is skewed right, and there is peak at 96.

The mean is about 95.5, there are no gaps, the distribution is symmetrical, and 90 is an outlier.

the mean is about 95.5, there are no gaps, the distribution is symmetrical, and 90 is an outlier.

28.

Jalen says that 60% of his teammates are over 70 inches. Is Jalen’s statement correct?

73, 61, 62, 59, 75, 60, 74, 75, 78, 69, 70

No, because there are 5 players with a height greater than 70 inches and that’s about 55% of the players

Yes, there are at least 9 players with a height of at least 70 inches and that is 60% of the players.

No, there is one player with a height of 70 inches and that is 9% of his teammates.

Yes, because the median height of the ponies is 60 and 60% of the ponies would be taller.

29.

What is the IQR?

59, 60, 61, 62, 69, 70, 73, 74, 75, 75, 78

30.

Number of steps taken per day and number of kilometers walked per day. $r=.92$

strong positive

strong negative

weak positive

weak negative

31.

Average time spent listening to music per day and average time spent watching TV per day. $r=-.17$

strong positive

strong negative

weak positive

weak negative

32.

Describe the relationship between the variables.

Weak positive correlation

Weak negative correlation

Strong positive correlation

Strong negative correlation

33.

Which one of these examples is NOT an example of CAUSATION?

Kryptonite causes Superman to lose all his powers.

Temperatures of less than 32˚F cause water to freeze.

Umbrellas cause rainstorms.

Stepping on the gas pedal causes a car to move faster.

34.

Which example shows a CORRELATION? (The events show correlation, but one thing does NOT cause the other thing to happen.)

It rained and the ground is wet.

Ice cream sales increase as temperature increases.

35.

A correlation shows that two things are

causing each other

unrelated

36.

Which example shows CORRELATION?

I ate a hananero pepper and my mouth feels like it is on fire.

Music lessons and brain development.

I stepped on a spider and it died.

37.

Which example shows CAUSATION?

Stress level and desire for chocolate.

Eating more butter and increased divorce rates.

It started raining and the baseball game was delayed.

38.

Find the equation of the line of best fit for the given data

y = 4.19 + 163.41x

y = 4.19 - 163.41x

y =163.41 - 4.19x

y = -163.41+ 4.19x

39.

Which type of regression model does the scatter plot appear to show?

linear

exponential

quadratic

40.

A person travels by car. They record their miles driven in a data table. Calculate the line of best fit equation of this data.

y = 61.93x - 1.79

y = -1.79x + 61.93

y = 0.016x + 0.03

y = 0.03x + 0.016

41.

Which of the equations below represent this table?

y=3⋅(36)^x

y=36⋅(3)^x

y=3⋅(⅓)^x

y=36⋅(⅓)^x

42.

Which graph most clearly shows a negative correlation between the x- and y- values?

43.

For which set of data would a linear model best fit?

44.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

f(x) = 25.05x + 5.57

f(x) = 5.57x + 25.05

f(x) = -5.57x + 25.05

f(x) = 5.57x - 25.05

45.

The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:

After 0 hours of driving, they went 61.93 miles.

They drove at a speed of 61.93 miles per hour.

They drove 61.93 miles total.

They drove 61.93 hours total.

46.

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 6 weeks and obtains the following data. Determine the exponential regression that best models these data.

y = 100(8.7)^x

y = 100(1.87)^x

y = 100(.87)^x

y = 100(.13)^x

47.

Over the last ten years, a school recorded the number of eighth grade students enrolled in Algebra 1. Using the equation of the curve of best fit, approximately how many students will be enrolled in Algebra 1 on year 16 if the trend continues?

120

100

48.

What character is used to "tell" Desmos to find a regression model?

49.

Given this regression line information in Desmos, what is the equation of the regression line?

y = 0.9499x

y = 3.2x + 28

y = 0.95x + 0.90

y = 28x + 3.2

50.

Given this information from Desmos, what is the equation of the regression model?

$y=7.117x+1.39$

$y=7.117(1.39)^x$

$y=0.983x+0.992$

$y=0.983(0.991)^x$

51.

All of the data points will always fit perfectly on the line of best fit.

True

False

52.

The Olympic record for the high jump is just over 2.6 yards. What is that distance in feet? (3 ft = 1 yd)

0.867 ft

7.8 ft

8.07 ft

8.27 ft

53.

Americans drink 5,604,000 gallons of sweet tea each day. How many liters is that? (1 gal = 3.79 L)

21,200,000 L

21,239,160 L

21,207,190.2 L

21,000,000 L

54.

Convert 62 miles/hour to feet/second. (5,280 ft = 1 mi)

5,456 ft/s

.003 ft/s

91 ft/s

909 ft/s

55.

What will the resulting units be?

inches

feet

meters/ft

inches/ft

56.

What will the resulting units be?

cubic feet per day

gallons per day

gallons per hour

cubic feet per hour

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Unit 6 Review - Data & Statistics

Total questions: 56

Worksheet time: 2hrs 13mins

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