LCHL Maths – Statistics

Leaving Cert Higher Level Maths LCHL Maths – Statistics

LCHL Statistics

The LCHL Statistics strand — descriptive and summary statistics, the normal distribution and the empirical rule, sampling, confidence intervals and hypothesis testing.

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