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Exploring Data Insights

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Exploring Data Insights

Read each question carefully. Show your working for calculations. Give units where they are provided.

Time-Series Data

1.Which description best fits time-series data?
  • Measurements recorded at different times
  • A list of people's favourite sports
  • A set of numbers arranged from smallest to largest
  • Measurements taken once from many different objects

Day

Height (cm)

Monday

4

Tuesday

5

Wednesday

7

Thursday

6

Friday

9

2.Use the seedling height table. Describe the overall trend from Monday to Friday, and mention one change between two consecutive days.
3.Which two sets are time-series data? Select both.
  • Wind speed recorded at midday each day for a fortnight
  • The shoe sizes of 24 pupils measured on one day
  • The number of people using a pool each month this year
  • The types of birds seen in one garden

Calculating and Comparing Data

4.A weather station recorded 6, 14, 10, 18 and 12 mm of rain over five days. Calculate the mean rainfall.
5.For the rainfall amounts 6, 14, 10, 18 and 12 mm, find the range.
6.What does the range of a data set describe?
  • The total of all the values
  • The difference between the largest and smallest values
  • The value that occurs most often
  • The number of values in the set
7.A counter recorded the number of cyclists passing a spot in six time periods: 11, 13, 12, 14, 31 and 13. Find the mean and range. Which value looks unusual compared with the others?
8.Match each statistics term with its meaning.
  • Mean
  • Range
  • Outlier
  • Time-series data
  • The total of the values divided by how many values there are
  • The difference between the greatest and least values
  • A value that is noticeably different from the rest
  • Data recorded across a sequence of times

Interpreting and Collecting Data

9.A young kūmara plant measured 16, 19, 21, 20, 24 and 28 cm on six weekly checks. Describe the overall trend and calculate the mean height.
10.Why should you check time-series measurements for errors before deciding what they show?
11.Plan a fair way to collect time-series data about how quickly a bean plant grows. State what you would measure, how often you would measure it, and one way to keep the measurements consistent.

3 printable pages

  • Exploring Data Insights, page 1 of 3: Time-Series Data

    Page 1

  • Exploring Data Insights, page 2 of 3: Calculating and Comparing Data

    Page 2

  • Exploring Data Insights, page 3 of 3: Interpreting and Collecting Data

    Page 3

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