통계 단원 종합

U.1Is each question a statistical question? Write yes or no.

1. 1
   How many minutes do students in our grade spend on homework each night? 
2. 2
   What was the high temperature in Chicago on March 3? 
3. 3
   How long did the winner take to finish the race? 
4. 4
   What were the high temperatures in Chicago each day last March? 

U.2Find the mean, median, mode, and range of each data set.

1. 5

   11, 19, 11, 10, 7, 20

   Mean

    

   Median

    

   Mode

    

   Range

    

2. 6

   13, 15, 7, 14, 14, 3, 11

   Mean

    

   Median

    

   Mode

    

   Range

    

U.2Find the mean, median, mode, and range of each data set. (continued)

1. 7

   8, 8, 10, 15, 1, 11, 3

   Mean

    

   Median

    

   Mode

    

   Range

    

2. 8

   19, 11, 19, 12, 14, 9

   Mean

    

   Median

    

   Mode

    

   Range

    

U.3Find the missing number.

1. 9
   The mean of $5$ numbers is $21$. Four of them are $13$, $37$, $5$, and $36$. What is the other number?
2. 10
   The mean of $4$ numbers is $29$. Three of them are $19$, $47$, and $41$. What is the other number?
3. 11
   The mean of $5$ numbers is $24$. Four of them are $26$, $32$, $39$, and $9$. What is the other number?
4. 12
   The mean of $4$ numbers is $18$. Three of them are $23$, $12$, and $26$. What is the other number?

U.4Find the mean and the mean absolute deviation (MAD).

1. 13

   4, 19, 18, 1, 13

   Mean

    

   MAD

    

2. 14

   4, 19, 19, 18, 15

   Mean

    

   MAD

    

3. 15

   6, 15, 3, 15, 16

   Mean

    

   MAD

    

4. 16

   16, 7, 16, 7, 4

   Mean

    

   MAD

    

U.5Order the data. Find Q1, the median, Q3, and the IQR.

1. 17

   23, 16, 28, 1, 29, 8, 20, 12, 19

   Q1

    

   Median

    

   Q3

    

   IQR

    

2. 18

   9, 8, 29, 24, 18, 17, 7, 6, 5, 22

   Q1

    

   Median

    

   Q3

    

   IQR

    

3. 19

   27, 19, 5, 3, 6, 14, 16, 25, 17, 13

   Q1

    

   Median

    

   Q3

    

   IQR

    

4. 20

   5, 29, 26, 18, 6, 20, 19, 8, 14, 27

   Q1

    

   Median

    

   Q3

    

   IQR

    

U.6Answer each question.

1. 21
   $30,26,8,28,32,32$. Which value is the outlier? What is the mean with it and without it?
2. 22
   $55,52,100,55,60,53$. Which value is the outlier? What is the mean with it and without it?
3. 23
   $43,41,41,39,64,45$. Which value is the outlier? What is the mean with it and without it?
4. 24
   $20,21,19,21,18,57$. Which value is the outlier? What is the mean with it and without it?

U.1Statistical Questions

1. 1yes
2. 2no
3. 3no
4. 4yes

U.2Mean, Median, Mode & Range

1. 5Mean 13 · Median 11 · Mode 11 · Range 13
2. 6Mean 11 · Median 13 · Mode 14 · Range 12
3. 7Mean 8 · Median 8 · Mode 8 · Range 14
4. 8Mean 14 · Median 13 · Mode 19 · Range 10

U.3Mean: Find the Missing Number

1. 9$14$
2. 10$9$
3. 11$14$
4. 12$11$

U.4Mean Absolute Deviation

1. 13Mean 11 · MAD 6.8
2. 14Mean 15 · MAD 4.4
3. 15Mean 11 · MAD 5.2
4. 16Mean 10 · MAD 4.8

U.5Quartiles & Interquartile Range

1. 17Q1 10 · Median 19 · Q3 25.5 · IQR 15.5
2. 18Q1 7 · Median 13 · Q3 22 · IQR 15
3. 19Q1 6 · Median 15 · Q3 19 · IQR 13
4. 20Q1 8 · Median 18.5 · Q3 26 · IQR 18

U.6Outliers and Their Effect

1. 21Outlier $8$; mean $26$ with it, $29.6$ without

U.6Outliers and Their Effect (continued)

1. 22Outlier $100$; mean $62.5$ with it, $55$ without
2. 23Outlier $64$; mean $45.5$ with it, $41.8$ without
3. 24Outlier $57$; mean $26$ with it, $19.8$ without