LCHL Maths – Statistics

Leaving Cert Higher Level Maths LCHL Maths – Statistics

LCHL Statistics

Your progress through this topic0 of 21 lessons

Lessons in this topic

All 21 lessons, in order — each one ticks off as you open it.

Key topics to learn off

Types of dataHistogram = continuous dataBar chart = discrete dataMean, mode, medianRange, IQR, standard deviationPercentilesSampling methodsTypes of skewSD & r on the calculatorThe empirical ruleThe 3 margins of errorCritical valuesp-valuesConfidence intervalsCorrelation & scatter plotsThe normal distributionHypothesis testing (null vs alternative)

Key ideas in this topic

Types of data — Types of dataStatistics 1

Primary vs secondary data — Primary vs secondary dataStatistics 1

Simple random sampling — Simple random samplingStatistics 2

Mean — MeanStatistics 3

Mode — ModeStatistics 3

Median — MedianStatistics 3

Range — RangeStatistics 3

Standard deviation — Standard deviationStatistics 3

Grouped mean — mid-interval values (MIV) — Grouped mean — mid-interval values (MIV)Statistics 3

Bar chart = discrete data — Bar chart = discrete dataStatistics 4

Histogram = continuous data — Histogram = continuous dataStatistics 4

Perfect negative correlation (inversely proportional) — Perfect negative correlation (inversely proportional)Statistics 5

No correlation — No correlationStatistics 5

Perfect positive correlation (directly proportional) — Perfect positive correlation (directly proportional)Statistics 5

Normal (symmetric) data — Normal (symmetric) dataStatistics 7

Left-skewed (negative) data — Left-skewed (negative) dataStatistics 7

Right-skewed (positive) data — Right-skewed (positive) dataStatistics 7

The empirical rule — The empirical ruleStatistics 8

z-score (a value) — z-score (a value)Statistics

z-score of a sample mean — z-score of a sample meanStatistics 17

Confidence interval — Confidence intervalStatistics 17

95% CI for a population mean — 95% CI for a population meanStatistics 17

95% CI for a population proportion — 95% CI for a population proportionStatistics 17

Hypothesis testing with a CI — Hypothesis testing with a CIStatistics 21

Hypothesis test — where does your z land? — Hypothesis test — where does your z land?Statistics 19

Critical values (5% level) — Critical values (5% level)Statistics 20

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Topic Content

0% Complete 0/21 Steps

Statistics 1 – Types of Data

Statistics 2 – Types of Sampling

Statistics 3 – Mean, Mode, Median, Range, Interquartile range, Standard Deviation, Percentiles

Statistics 4 – Basic Graphs

Statistics 5 – Scatter Graphs, correlation coefficient, line of best fit

Statistics 6 – Correlation versus causality

Statistics 7 – Skewed data

Statistics 8 – Empirical Rule

Statistics 9 – z-scores 1

Statistics 10 – z-scores 2

Statistics 11 z-scores 3

Statistics 12 z-scores 4

Statistics 13 z scores 5 (standardising formula)

Statistics 14 z scores 6 (standardising sample means)

Statistics 15- z scores 7

Statistics 16 – Margin of error

Statistics 17 – Confidence Intervals

Statistics 18 Central Limit Theorem, trends in population proportion

Statistics 19 – Hypothesis testing

Statistics 20 p-values and critical regions

Statistics 21 – Hypothesis testing and confidence intervals