Statistics Assignment

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Mathematics

Description

Attached are pages 122, 123, 124, 126 and 134.

Starting from the exercise on the bottom of page 122, please do the following:

- # 2 on page 122.

- # 6 and 8 page 123. ( a, b and c on page 124 on the top follows # 8)

- # 10 page 124.

- # 18page 126.

- # 23, 25 and 26 page 134.

Please show the work clearly and type the number of each question to its answer so I can understand.

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Explanation & Answer

See attached

- # 2 on page 122.
Mean =

∑𝑥
𝑛

=

10 +20+21+17 +16+12
6

=

96
6

= 16

Median
Arrange all values in ascending order. For an even count of numbers, find the median by adding
the two middle values
10, 12, 16, 17, 20, 21
Median = (16+17)/2 = 16.5

- # 6 and 8 page 123. ( a, b and c on page 124 on the top follows # 8)
No. 6
Mean =

∑𝑥
𝑛

=

53 +55+70+58 +64+57+53+69+57+68+53
11

=

657
11

= 59.7273

Median
Arrange all values in ascending order. For an odd count of numbers, the median is the middle
value.
53, 53, 53, 55, 57, 57, 58, 64, 68, 69, 70
Median = middle value = 57
No. 8
Median
Arrange all values in ascending order. For an odd count of numbers, the median is the middle
value.
53, 55, 63 67, 73, 75, 77, 80, 83,85,93,106,108,118, 124
Median = middle value = 80
The median salary is lower. This indicates that middle-level managers are paid lower in Atlanta
as compared to rest of the country.

Mean =

∑𝑥
𝑛

=

108+83+106+73+53+85+80+63+67 +75+124 +55+93+118+77
15

=

1260
15

= 84

The mean annual salary is greater than the median. This is becaus...


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