Calculate Measures Of Central Tendency And Construct Ogive Curves

Question

Mercury, as an environmental contaminant, has always been a concern in the Great Lakes. The Ministry of Natural Resources and the Ministry of the Environment did a small survey last year of the concentration levels of mercury (Hg) in Lake Ontario. For thirty different samples acquired throughout the lake on a simple random sampling programme, the mercury concentrations in milligrams per litre (mg/l) were:

Location #

Hg (mg/l)

 

Location #

Hg (mg/l)

1

2.3

 

16

5.6

2

6.7

 

17

5.9

3

5.7

 

18

6.3

4

8.9

 

19

6.7

5

12.5

 

20

11.2

6

6.7

 

21

6.6

7

7.8

 

22

7.8

8

9.2

 

23

8.2

9

11.5

 

24

5.3

10

6.8

 

25

7.8

11

8.8

 

26

8.2

12

6.7

 

27

8.3

13

6.8

 

28

9.9

14

7.3

 

29

6.0

15

6.8

 

30

6.7

 

 

 

Sum

225.0

 

  • Determine three measures of central tendency for these data.
  • Based on these measurements of central tendency, what is the shape of this (frequency) distribution?
  • With a class width of 2 kilograms, construct the frequency distribution of these data. (i.e. only the table of values)
  • Construct the Cumulative Less - Than Frequency distribution (i.e., the Ogive) of these data and display it on the supplied chart.
  • Seventy-five percent of these samples are less than what concentration?

            Answer in two ways

                                    i) From the Ogive plot

                                    ii) Through ranked data

Summary

The question belongs to Statistics and it discusses about calculation of 3 measures of central tendency and construction of ogive curves.

Total Word Count 321

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