Unit Review: Statistics & sampling

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

1. 1

   5, 25, 8, 13, 18, 35, 8

   Mean

    

   Median

    

   Mode

    

   Range

    

2. 2

   36, 35, 25, 4, 35, 9

   Mean

    

   Median

    

   Mode

    

   Range

    

N.2Use the histogram to answer each question.

1. 3
   How many students read from 0 to 14 minutes?
2. 4
   How many students scored 60 or higher?

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

1. 5

   19, 17, 6, 1, 17

   Mean

    

   MAD

    

2. 6

   18, 17, 14, 14, 7

   Mean

    

   MAD

    

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

1. 7

   1, 16, 29, 3, 17, 4, 9, 7, 28, 12

   Q1

    

   Median

    

   Q3

    

   IQR

    

2. 8

   14, 28, 6, 26, 21, 3, 9, 7, 12, 4

   Q1

    

   Median

    

   Q3

    

   IQR

    

N.5N.6Answer each question.

1. 9
   The mean of $5$ numbers is $10$. Four of them are $16$, $14$, $4$, and $10$. What is the other number?
2. 10
   The mean of $4$ numbers is $22$. Three of them are $32$, $15$, and $4$. What is the other number?
3. 11
   $38,33,37,70,27,29$. Which value is the outlier? What is the mean with it and without it?
4. 12
   $17,62,19,24,24,22$. 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
   Greater IQR: 

N.8Answer each question.

1. 15
   To learn how long students spend on homework, a teacher draws 40 names at random from all the students in the grade. Is the sample biased or unbiased?
2. 16
   To find the most popular music in a grade, Jin surveys 30 students picked at random from the grade's class lists. Is the sample biased or unbiased?

N.9Write a proportion and solve it.

1. 17
   In a random sample of $40$ voters in a town, $15$ support building a new library. The town has $12,000$ voters. Estimate how many voters support the new library.

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

1. 18
   An orchard checks $60$ apples picked at random and finds $2$ with bruises. The orchard has $900$ apples. About how many have bruises?

N.1Mean, Median, Mode & Range

1. 1Mean 16 · Median 13 · Mode 8 · Range 30
2. 2Mean 24 · Median 30 · Mode 35 · Range 32

N.2Read Histograms

1. 36
2. 426

N.3Mean Absolute Deviation

1. 5Mean 12 · MAD 6.8
2. 6Mean 14 · MAD 2.8

N.4Quartiles & Interquartile Range

1. 7Q1 4 · Median 10.5 · Q3 17 · IQR 13
2. 8Q1 6 · Median 10.5 · Q3 21 · IQR 15

N.5N.6Answer each question.

1. 9$6$
2. 10$37$
3. 11Outlier $70$; mean $39$ with it, $32.8$ without
4. 12Outlier $62$; mean $28$ with it, $21.2$ without

N.7Compare Populations

1. 13$2$
2. 14Store X

N.8Populations, Samples & Bias

1. 15unbiased
2. 16unbiased

N.9Make Estimates from Samples

1. 174,500 voters

N.9Make Estimates from Samples (continued)

1. 1830 apples