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Is an interquartile range different to a normal range?

2 years ago

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48 Replies

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C

Carley Crooks



48 Answers

S
Sulaiman Shaukat

Yes, the normal range is the difference from the highest to the lowest value.

The interquartile range is the difference from the upper quartile (75%) to the lower quartile (25%)

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Hi, both can be used to find out the spread of values in a dataset. A normal range refers to a spread of numbers where the smallest number can be subtracted from the biggest number to find the middle half of the range. In comparison, an interquartile range refers to calculating the middle half of the range using the 25% and 75% percentiles in the dataset. The main difference in these methods is the fact that the interquartile range is not affected by outliers whereas the normal range is.

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Lydia Beckett

The interquartile range is the difference between the lowest and highest value in the middle 50% of the values (lower quartile and upper quartile) in a dataset. The range is the difference between the lowest and highest value in the whole data set.


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Yes. The range is the difference between the biggest and smallest number in the list. The interquartile range uses quarters (hence the word quartiles). Find the numbers that are at the 1/4 and the 3/4 position of the list. Then find the difference between these. The interquartile range is useful especially when the data has outliers.

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Yes, the interquartile range is the range between the number of the lower quartile and the number of the upper quartile. The normal range is the range between the lowest number and the highest number.

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Bilal Mahmood

They are very similar but slightly different:


Range: The difference between the largest and smallest values in the set of numbers


Interquartile range [IQR]: the difference between the upper and lower quartile, where the four quartiles split the data into even quarters


Example:


1,1,3,4,6,7,8,9,10


Range = 10 - 1 = 9


IQR: Q3 [upper quartile] = 8.5, Q1 [lower quartile] = 2

IQR = 8.5-2 = 6.5

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The Range looks at the spread of a data set, the biggest value subtract the smaller value whilst the interquartile range looks at the spread for the middle half of the data set. The upper quartile (Q3) subtract the lower quartile(Q1). Q3 is the 75th percentile for the data, and Q1 is the 25th percentile for the data

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Joanna Macinnes

Yes, they are different; the normal range involves subtracting the smallest value in a data set from the largest value, whereas the interquartile range (IQR) involves taking the 25th percentile value on a box plot and subtracting it on the 75th percentile value.

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Yes, the range is the distance from the highest value to the lowest value. The Inter-Quartile Range is quite literally just the range of the quartiles: the distance from the largest quartile to the smallest quartile, which is IQR=Q3-Q1.

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Maansi

Yes. The range is the difference between the highest value and the lowest value. However, the interquartile range is the difference between the upper quartile (75th percentile) and the lower quartile (25th percentile).

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The range of a set of data is the difference in the highest value and the lowest value in that dataset.

The interquartile range is the difference in the lower and upper quartiles (data points that lie 1/4 and 3/4 into the dataset respectively).

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Nirthan Vamadevan

Yes, the interquartile range (IQR) is different from a normal range, because the normal range refers to the difference between the smallest value within a set of data, whereas the IQR is the difference between the lower and upper quartiles within a set of data. The lower quartile refers to the value that is half-way between the smallest value and the median (middle) value in an ordered (ascendingly) set of data, whilst the upper quartile refers to the value that is half-way between the median and the largest value in an ordered (ascendingly) set of data.

K
Kerry

Yes! A normal range is the maximum minus the minimum, whereas an interquartile range is the upper quartile minus the lower quartile.

A
Anirudh

Yes, the interquartile range (IQR) is the range between the 75th percentile and 25th percentile of data. So the value that lies at 75%- the value that lies at 25%. Whereas the range is simply just the highest data value - the lowest data value.

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Yes. The range of a dataset is the biggest number minus the smallest number. The interquartile range (think inner quarter so 25%, 75%) is the 75th percentile minus the 25th percentile. Try calculating it with a few different data sets and you should see why this might be used instead of the full range. Which is most useful will depend on the type of data being looked at.

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