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Interpret measures of center and variability

knanacademy.org

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Get ready fo...

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Kayla is wor...

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2

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8

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1

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Distribute to create an equivalent expression with the fewest symbols possible.

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2(3-8 y)=

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Greenville Middle School just announced the

16

homeroom classes for the next school year. Most of the homerooms have at least

20

students, while the biggest class has

28

. The mean number of students in a homeroom is about

24

, and the mean absolute deviation is

2.25

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Which is a measure of how much the number of students in the new homerooms typically varies?

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2.25

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20

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24

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28

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Mr. Parker assigned an oral presentation about an animal to each of the students in his homeroom. Of the

21

students in class,

5

students gave a presentation that was less than

2

3

students gave presentations longer than

4

minutes. The median length of the presentations was

2.5

minutes, and the interquartile range was about

1.9

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Which is a typical length of a student's presentation?

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1.9

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2

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2.5

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4

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Brenda's sister Kelly is getting married next year, and Brenda is a junior bridesmaid. She accompanies the wedding party on a trip to

6

different bridal shops to help Kelly find the perfect dress. Kelly tries on at least

2

dresses at each shop. The mean number of dresses she tries on is about

7

dresses, and the mean absolute deviation is about

3

dresses. Eventually, Kelly has to pick between her

5

favorite dresses.

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By how much did the number of dresses Kelly tried on at each store typically vary?

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2

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3

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5

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7

The Greendale Theater has been hosting a variety of traveling plays, musical groups, and dance shows for

14

years. The theater's maximum capacity is

3,100

people, but it is rarely full. Of the

11

performances the theater hosted last month, the mean attendance was about

1,348

people, and the mean absolute deviation was about

530

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Which is a measure of how attendance at the theater typically varied last month?

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11

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530

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1,348

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3,100

Matt is helping his younger sister learn about vowels and consonants. She wants to know how many vowels are in most words, so she and Matt count the number of vowels in each word on a page of a book that she is reading. Of the

18

words on the page, all contain between

1

3

vowels. The mean number of vowels is

1.5

, and the mean absolute deviation is about

0.6

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For words on this page, which is a measure of how much the number of vowels typically varies?

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0.6

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1

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1.5

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3

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At the Silver City Middle School field day, a favorite event is the obstacle course. Sophie was happy that she finished it in

62

seconds. Most of the

26

students in her class took over

60

seconds. The median time was

67

seconds, and the interquartile range was about

14

seconds. The fastest student in the class finished in

54

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What is a typical obstacle course time of a student in Sophie's class?

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14

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60

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62

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67

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Pete and his friends competed to see whose paper airplane could fly the greatest distance. The median distance was

9

feet, and the interquartile range was

7.5

feet. Pete's plane flew

14.5

feet, and his best friend's plane flew

8.25

feet. None of the planes flew farther than

21

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Which is a typical distance a paper airplane flew?

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7.5

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8.25

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9

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14.5

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Which number is between

1\frac{5}{7}

6\frac{2}{7}

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1\frac{6}{7}

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1\frac{4}{12}

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1\frac{3}{7}

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1\frac{1}{7}

Gary learned that the value of his car depreciates by

15 \%

of its initial purchase value each year. If the initial purchase value of Gary's car is

m

dollars, which of the following functions best describes the value of his car one year after purchase?

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1

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f(m)=0.15 m

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f(m)=0.85 m

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f(m)=1-0.15 m

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f(m)=1-0.85 m

350

babies were born at Neo Hospital in the past

6

months. The average weight for the babies was found to be

6.8\,\text{lbs}

, with a standard deviation of

0.5\,\text{lbs}

. How many babies would you expect to weigh more than

7.8\,\text{lbs}

The gestation time of humans has an approximate Normal distribution with a mean of

250

days and a standard deviation of

6.0

days. A simple random sample of

n

newborns is to be taken.

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What is the minimum sample size

n

needed so that the sampling distribution of

\bar{x}

has a standard deviation of

0.5

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15

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144

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12

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250

A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be

151

pounds with a margin of error of

5

pounds. Which of the following is not a reasonable value for the true mean weight of the residents of the town?

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156

9

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147

7

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155

2

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147

5

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was

465

with a margin of error of

15

. Which of the following is not a reasonable value for the true mean SAT score of graduating high school seniors?

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476

3

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447

5

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475

1

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455

6

The list below shows the temperature Chloe recorded at

11

00

p.m. for four days last January.

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-1^{\circ} \mathrm{F}

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-\mathbf{2 2}{ }^{\circ} \mathrm{F}

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-10^{\circ} \mathrm{F}

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-7^{\circ} \mathrm{F}

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On which of the days did Chloe record the highest (warmest) temperature?

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2009

, Usain Bolt set the world record for sprinting approximately

9 \frac{3}{5}

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Find his average speed in meters per second.

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meters per second

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6

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6

TH GRADE > UNIT

7

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Equations & inequalities

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＂ Math ＂ > ＂

6

th grade ＂ > ＂ Equations \& ＂

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＂ inequalities ＂ > ＂ Unit test ＂

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2024

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Report a problem

When Michael commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of

24

minutes and a standard deviation of

3

minutes. Out of the

273

days that Michael commutes to work per year, how many times would his commute be between

19

31

minutes, to the nearest whole number?

Two baseball players are warming up by throwing balls to the catcher. The two players are located

10

yards apart, and the angle from each player to the catcher is

55^{\circ}

71^{\circ}

, respectively. What is the distance from the farthest baseball player to the catcher?

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10.125

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11.687

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14.501

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14.790