통계와 표본 단원 종합

N.1Find the mean, median, mode, and range of each data set.

1. 1

   39, 6, 37, 26, 39, 19, 25, 17

   Mean

    

   Median

    

   Mode

    

   Range

    

2. 2

   34, 25, 9, 34, 1, 35

   Mean

    

   Median

    

   Mode

    

   Range

    

N.2Use the histogram to answer each question.

1. 3
   How many visitors are younger than 20?
2. 4
   How many students scored from 50 to 59?

N.3Find the mean and the mean absolute deviation (MAD).

1. 5

   15, 14, 6, 11, 9

   Mean

    

   MAD

    

2. 6

   18, 19, 12, 1, 5

   Mean

    

   MAD

    

N.4Order the data. Find Q1, the median, Q3, and the IQR.

1. 7

   25, 8, 4, 27, 6, 26, 9, 5, 23, 13

   Q1

    

   Median

    

   Q3

    

   IQR

    

2. 8

   7, 11, 14, 13, 18, 2, 3, 10, 23, 24

   Q1

    

   Median

    

   Q3

    

   IQR

    

N.5N.6Answer each question.

1. 9
   The mean of $4$ numbers is $26$. Three of them are $27$, $20$, and $39$. What is the other number?
2. 10
   The mean of $5$ numbers is $34$. Four of them are $38$, $36$, $29$, and $28$. What is the other number?
3. 11
   $72,29,37,31,32,39$. Which value is the outlier? What is the mean with it and without it?
4. 12
   $73,46,45,40,39,36$. Which value is the outlier? What is the mean with it and without it?

N.7Use the box plots to answer each question.

1. 13
   IQRs differ by: 
2. 14
   IQRs differ by: 

N.8Answer each question.

1. 15
   To find the favorite type of book at a school, the librarian asks the students in the library's mystery book club. Is the sample biased or unbiased?
2. 16
   To find the favorite type of book at a school, the librarian asks every tenth student who walks into the cafeteria. Is the sample biased or unbiased?

N.9Write a proportion and solve it.

1. 17
   Ms. Reed picked $40$ seventh graders at random, and $22$ of them ride a bus to school. There are $240$ seventh graders in all. About how many ride a bus?

N.9Write a proportion and solve it. (continued)

1. 18
   In a random sample of $40$ students at a school, $20$ chose tacos as their favorite lunch. The school has $600$ students. Predict how many of them would choose tacos.

N.1Mean, Median, Mode & Range

1. 1Mean 26 · Median 25.5 · Mode 39 · Range 33
2. 2Mean 23 · Median 29.5 · Mode 34 · Range 34

N.2Read Histograms

1. 31
2. 43

N.3Mean Absolute Deviation

1. 5Mean 11 · MAD 2.8
2. 6Mean 11 · MAD 6.4

N.4Quartiles & Interquartile Range

1. 7Q1 6 · Median 11 · Q3 25 · IQR 19
2. 8Q1 7 · Median 12 · Q3 18 · IQR 11

N.5N.6Answer each question.

1. 9$18$
2. 10$39$
3. 11Outlier $72$; mean $40$ with it, $33.6$ without
4. 12Outlier $73$; mean $46.5$ with it, $41.2$ without

N.7Compare Populations

1. 13$2$
2. 14$20$

N.8Populations, Samples & Bias

1. 15biased
2. 16unbiased

N.9Make Estimates from Samples

1. 17132 students

N.9Make Estimates from Samples (continued)

1. 18300 students