NCC MAT102 Test 1 Latest 2021 July

MAT 102                                               TEST 1                                            Prof.Orlova

Part 1

Fill in the blanks. 3 points for each question in Part 1.

1.         Three measures of central tendency are: ______________, _____________, and _________ .

2.         If are the data values of a distribution, then:

            a)

            b) = ________________________________

            c) ______________________________

            d) ____________________________

3.         The formula for the population mean is ________________________________

4.         In a distribution which has an odd number of data values, the mean is 100, and the median is 75. The middle data value is ______________________.

5.         In a distribution, the data value that appears most frequently is called the ______________.

6.         A distribution containing more than two modes is called a _________________ distribution.

7.         The mean of a sample is denoted by _________________.

8.         The formula for variance of the population, , is ________________________

9.         The formula for the sample standard deviation, s, is ______________

10.       According to Chebyshev’s Theorem,

            a) approximately ______% of the data values will lie within two standard deviations of the mean;

            b) approximately ______% of the data values will lie within three deviations of the mean.

11.       The z score of a data value is calculated by the formula:

            z = ___________________

12.       If  then we state that 82 is the 20th ____________________

13.       If then we state that 40 is the first ____________________

14.       If then the median is  _____________________________

15.       The z score of a data value indicates how many standard deviations the data value is above or below the _______________.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part 2

Please show all work. No work might mean no credit.

 

15 points

16.       The following data represents the number of members within each household of fourty high school students:

            7          4          5          5          6          5          10        8          5          5

            6          9          4          5          4          4          7          6          8          5

            6          5          3          4          2          5          4          5          4          3

            3          4          5          3          4          5          4          2          3          6

Construct a frequency distribution table using 5 classes. Determine the class marks, class boundaries, frequencies, and relative frequencies for each class.

 

 

 

 

 

10 points

17.       The following distribution represents real estate listings for homes in Southern California:

            $375,000         $525,000         $425,000         $1,486,000

            $510,000         $655,000         $425,000         $490,000

            $575,000         $505,000

Determine the mean, median, and mode for these prices.

 

 

10 points

18.       For the distribution:  6, 2, 4, 4, 5, 3, 5, 3, 1, 7, find:

            a) the mean

            b) the median

            c) the mode

            d)

            e) 

            f)

 

10 points

19.       For the distribution: 3, 5, 8, 13, 21 compute the:

            a) range

            b) variance

            c) population standard deviation.

 

10 points

20.       The following distribution represents the number of homeruns that Babe Ruth hit

during 1919 – 1934:

            29        54        59        35        41        46        25        47

            60        54        46        49        46        41        34        22

For the given distribution, determine:

            a) the 1st quartile, median, and the 3rd quartile

            b) construct a boxplot

            c) construct a stem-and-leaf plot.