Unit Review: Statistics

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

1. 1
   How far do the students in my class live from school? 
2. 2
   How many letters are in the names of the students in my class? 
3. 3
   How long did each runner take to finish the race? 
4. 4
   How many minutes do students in our grade spend on homework each night? 

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

1. 5

   4, 15, 19, 16, 1, 19, 17

   Mean

    

   Median

    

   Mode

    

   Range

    

2. 6

   2, 7, 10, 2, 6, 9

   Mean

    

   Median

    

   Mode

    

   Range

    

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

1. 7

   6, 7, 10, 10, 1, 2

   Mean

    

   Median

    

   Mode

    

   Range

    

2. 8

   19, 19, 13, 12, 7, 20

   Mean

    

   Median

    

   Mode

    

   Range

    

U.3Find the missing number.

1. 9
   The mean of $5$ numbers is $25$. Four of them are $26$, $45$, $12$, and $17$. What is the other number?
2. 10
   The mean of $4$ numbers is $34$. Three of them are $18$, $49$, and $45$. What is the other number?
3. 11
   The mean of $4$ numbers is $21$. Three of them are $6$, $42$, and $3$. What is the other number?
4. 12
   The mean of $4$ numbers is $34$. Three of them are $44$, $42$, and $24$. What is the other number?

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

1. 13

   18, 18, 10, 18, 1

   Mean

    

   MAD

    

2. 14

   1, 7, 3, 6, 18

   Mean

    

   MAD

    

3. 15

   3, 6, 20, 20, 16

   Mean

    

   MAD

    

4. 16

   14, 16, 7, 16, 7

   Mean

    

   MAD

    

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

1. 17

   6, 1, 13, 20, 11, 29, 8, 28

   Q1

    

   Median

    

   Q3

    

   IQR

    

2. 18

   29, 27, 26, 22, 18, 10, 3, 30, 11, 28

   Q1

    

   Median

    

   Q3

    

   IQR

    

3. 19

   3, 5, 25, 6, 26, 18, 15, 30, 13, 19

   Q1

    

   Median

    

   Q3

    

   IQR

    

4. 20

   15, 18, 10, 2, 26, 3, 23, 24, 30, 17

   Q1

    

   Median

    

   Q3

    

   IQR

    

U.6Answer each question.

1. 21
   $37,38,33,67,29,30$. Which value is the outlier? What is the mean with it and without it?
2. 22
   $28,38,35,77,35,30$. Which value is the outlier? What is the mean with it and without it?
3. 23
   $93,50,51,55,51,45$. Which value is the outlier? What is the mean with it and without it?
4. 24
   $9,13,13,16,11,52$. Which value is the outlier? What is the mean with it and without it?

U.1Statistical Questions

1. 1yes
2. 2yes
3. 3yes
4. 4yes

U.2Mean, Median, Mode & Range

1. 5Mean 13 · Median 16 · Mode 19 · Range 18
2. 6Mean 6 · Median 6.5 · Mode 2 · Range 8
3. 7Mean 6 · Median 6.5 · Mode 10 · Range 9
4. 8Mean 15 · Median 16 · Mode 19 · Range 13

U.3Mean: Find the Missing Number

1. 9$25$
2. 10$24$
3. 11$33$
4. 12$26$

U.4Mean Absolute Deviation

1. 13Mean 13 · MAD 6
2. 14Mean 7 · MAD 4.4
3. 15Mean 13 · MAD 6.8
4. 16Mean 12 · MAD 4

U.5Quartiles & Interquartile Range

1. 17Q1 7 · Median 12 · Q3 24 · IQR 17
2. 18Q1 11 · Median 24 · Q3 28 · IQR 17
3. 19Q1 6 · Median 16.5 · Q3 25 · IQR 19
4. 20Q1 10 · Median 17.5 · Q3 24 · IQR 14

U.6Outliers and Their Effect

1. 21Outlier $67$; mean $39$ with it, $33.4$ without

U.6Outliers and Their Effect (continued)

1. 22Outlier $77$; mean $40.5$ with it, $33.2$ without
2. 23Outlier $93$; mean $57.5$ with it, $50.4$ without
3. 24Outlier $52$; mean $19$ with it, $12.4$ without