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Time-Series Data Analysis

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Time-Series Data Analysis

A coastal science team recorded the height of the tide at the same harbour every two hours. Use the time-series data to spot patterns, calculate statistics and check for unusual readings. Tide heights are in metres.

The tide record

The measurements were taken on one day at the same place. Read the table carefully.

Time

Tide height (m)

6 am

0.8

8 am

1.4

10 am

2.1

12 pm

2.7

2 pm

2.3

4 pm

1.8

Read the pattern

Answer using the tide record. Include units where they make sense.

1.What makes this a time-series data set?
  • It records different places at one moment.
  • It records the same measurement at regular times.
  • It lists opinions about the harbour.
  • It has measurements with no order.
2.Between which two consecutive readings did the tide rise the most?
3.At what time was the tide highest, and what was its height?
4.Describe the overall trend from 6 am to 4 pm. Mention when the trend changes direction.
5.Calculate the range of the six tide heights. Show the maximum minus the minimum.
6.Calculate the mean tide height. Add the six readings and divide by 6.
7.The team expected the 10 am tide to be about 2.1 m, but a note on the data sheet says 4.1 m. What should they do before using that value?
8.If the 10 am value really were 4.1 m, how would it compare with the other readings?
  • It would be an outlier, much higher than the other readings.
  • It would be the mean of the data.
  • It would show the tide stayed level.
  • It would be the smallest value.
9.The team wants to compare this day with another day. Give one condition they should keep the same to make the comparison fair.
10.Write a one-sentence finding that uses at least two specific readings from the time series.

3 printable pages

  • Time-Series Data Analysis, page 1 of 3: The tide record, Read the pattern

    Page 1

  • Time-Series Data Analysis, page 2 of 3: 3. At what time was the tide highest, and what was its height?

    Page 2

  • Time-Series Data Analysis, page 3 of 3: 10. Write a one-sentence finding that uses at least two specific readings from the time…

    Page 3

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