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Statistics 1 Page

Statistics Paper.

Question

1-Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: \$216, \$184, \$35, \$92, \$144, \$175, \$11, and \$57, respectively. Let y denote the amount spent by a customer on groceries in a single visit. Find    ∑y,  (∑y)2 , ∑y2

2- The following data give the number of text messages sent on 40 randomly selected days during 2012 by a high school student;

 32 33 33 34 35 36 37 37 37 37 38 39 40 41 41 42 42 42 43 44 44 45 45 45 47 47 47 47 47 48 48 49 50 50 51 52 53 54 59 61

a.       Construct a frequency distribution table. Take 32 as the lower limit of the first class and 6 as the class width.

b.      Calculate the relative frequency and percentage for each class.

c.       Construct a histogram for the frequency distribution of part a.

d.      On what percentage of these 40 days did this student send more than 44 text messages?

3-The following data give the numbers of car thefts that occurred in a city during the past 12 days.

6     3     7     11     4     3     8     7     2     6     9     15

Find the mean, median, and mode.

4- The following data set belongs to a sample: 14     18     -10     8     8     -16

Calculate the range, variance, and standard deviation.

5- The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months.

Assume that the lives of all auto batteries of this brand have a bell-shaped distribution. Using the empirical rule, find percentage of auto batteries of this brand that have a life of

a.       41 to 47 months

b.      38 to 50 months

c.       35 to 53 months

6-The following data give the numbers of text messages sent by a high school student on 40 randomly selected days during 2012:

32   33   33   34   35   36   37   37   37   37

38   39   40   41   41   42   42   42   43   44

44   45   45   45   47   47   47   47   47   48

48   49   50   50   51   52   53   54   59   61

Calculate the values of the three quartiles and the interquartile range. Where does the value 49 fall in relation to these quartiles?

7-The following data represent the credit scores of 22 randomly selected loan applicants.

494     728     468     533     747     639     430     690     604     422     356

805     749     600     797     702     628     625     617     647     772     572

Prepare a box-and-whisker plot. Are these data skewed in any direction?

8-The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.

45     52     48     41     56     46     44     42     48     53

51     53     51     48     46     43     52     50     54     47

44     47     50     49     52

Prepare a box-and-whisker plot. Comment on the skewness of these data.

Solution

Title: Statistics Paper.
Length: 1 pages (362 Words)
Style: MLA

Preview

Assignment One:

Question 1

∑y=216+184+35+92+144+175+11+57 ∑y=914 b)

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