Medium2 marksStructured
AQA GCSE · Question 07.3 · Statistical Measures and Calculations
There are variations in the number of sunspots seen per month throughout the year. How could you smooth out these variations?
There are variations in the number of sunspots seen per month throughout the year. How could you smooth out these variations?
How to approach this question
The question asks how to "smooth out" variations in time series data. What is the statistical technique used for this purpose? It involves calculating an average over a specific time period that "moves" along the data.
Full Answer
By calculating and plotting moving averages. For example, one could calculate a 12-month moving average to smooth out the monthly/seasonal variations within each year.
To smooth out short-term fluctuations (like monthly variations) in time series data and highlight longer-term trends or cycles, we use **moving averages**. A moving average is calculated by taking the average of a set of data points over a specific period. For example, to smooth monthly data, a 12-month moving average is often used. You would calculate the average for Jan-Dec, then Feb-Jan, then Mar-Feb, and so on. Plotting these moving averages creates a smoother line that makes the underlying cyclical pattern clearer.
Common mistakes
✗ Suggesting drawing a line of best fit, which is used for scatter graphs showing correlation, not for smoothing time series data.\n✗ Being too vague, e.g., "find the average". You need to specify *moving* averages.
Practice the full AQA GCSE Statistics Higher Tier Paper 2
43 questions · hints · full answers · grading
More questions from this exam
Q01A fair coin is tossed four times. Circle the probability of getting 'tails' on all 4 tosses.EasyQ02Which one of these is **not** a measure of spread?EasyQ03Olivia wants to obtain a systematic sample of size 40 from a population of 2000 competitors in a ...EasyQ04Which statistical term means 'the extent to which something gives results that are consistent'?EasyQ05.1BMI stands for Body Mass Index and is based on your height and mass. Louise and William have this...Easy
Expert