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1/29/2016 Chapter 2 Test The responses of a sample of 1000 adults who were asked

ID: 3022374 • Letter: 1

Question

1/29/2016 Chapter 2 Test The responses of a sample of 1000 adults who were asked what type of corrective lenses they wore are shown in the table at the right. Find the mean, median and mode of the data, if possible. If any measure cannot be found, explain why. Type of lenses Contacts Eyeglasses Contacts and eyeglasses None Frequency, 50 160 560 230 Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice 0 A. The mean is Type an integer or decimal rounded to one decimal place as needed.) O B. The mean cannot be calculated because the data are at the nominal level of measurement ° C. The mean cannot be calculated because the sample size is too small O D. The mean cannot be calculated because there is an even number of data values Does the mean represent the center of the data? 0 A. The mean represents the center. O B. The mean does not represent the center because it is not a data value ° C. The mean does not represent the center because it is the largest data value 0 D. The mean does not represent the center because it is the smallest data value OE. The data set does not have a mean Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice 0 A. The median is lype an integer or decimal rounded to one decimal place as needed.) O B. The median cannot be calculated because there is an even number of data values ° C. The median cannot be calculated because the data are at the nominal level of measurement O D. The median cannot be calculated because the sample size is too small Does the median represent the center of the data? A. The median represents the center. O B. The median does not represent the center because it is not a data value ° C. The median does not represent the center because it is the largest data value. 0 D. The median does not represent the center because it is the smallest data value O E. The data set does not have a median Choose the correct mode of the data below O contacts and eyeglasses O Eyeglasses O None Contacts The data set does not have a mode. C) Does the mode represent a typical, or central, data entry? https:llxlitem prod.pearsoncmg.com/apiM1/print/math 4/22

Explanation / Answer

(11)

a:

   

Class width equals to the difference between the lower limits of the first two classes.

W=35-32

   =3

the class width is 3

(b):

The midpoint formula is =(Lower limit+upper limit)/2

(c):

The size of the gap between classes is the difference between the upper class limit of one class and the lower class limit of the next class. In this case, gap=35-34=1

The lower boundary of each class is calculated by subtracting half of the gap value 1/2=0.5 from the class lower limit. On the other hand, the upper boundary of each class is calculated by adding half of the gap value 1/2=0.5 to the class upper limit.

          

(9):

a:

The mean is
10+13+21+24+29+29+37+38+43+45+45+50+57+65+7+8+9+106=636

=636/10

=63.6

mean=63.6

(b):

The mean doesnot represent the center because mean is the average of numbers

(c):

you just wrote all the scores in order from the smallest to greatest

7,8,9,10,13,21,24,29,29,37,38,43,45,45,50,57,65,106

   median is 37

    (d)

         The median represents the center

(e)

mode:29,45

(f)

Yes ,the modes represents the typical data entries

Temperature frequency Lower limit Upperlimit 32-34 1 32 34 35-37 3 35 37 38-40 5 38 40 41-43 11 41 43 44-46 7 44 46 47-49 7 47 49 50-52 1 50 52
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