# Excel LARGE Function

The Excel LARGE function returns a numeric value based on its position in a list when sorted by value in *descending* order. In other words, LARGE can retrieve the "nth largest" value – 1st largest value, 2nd largest value, 3rd largest value, etc.

*array*- An array or range of numeric values.*k*- Position as an integer, where 1 corresponds to the largest value.

The LARGE function returns a numeric value based on its position in a list when sorted by value. In other words, LARGE returns the "nth largest" value in the list where 1 corresponds to the largest value, 2 corresponds to the second largest value, etc. For example, the LARGE function is useful when you want to retrieve first, second, or third highest scores for a test.

The LARGE function takes two arguments, *array* and k. *Array* is an array or range of numeric values. The argument *k* represents position or rank. For example, to return the largest value in *array*, provide 1 for *k*. To return the fifth largest value in *array*, provide 5 for *k*.

To get nth *smallest* values, see the SMALL function.

### Examples

In the formula below, the LARGE function returns the third largest value in a list of five numbers provided in an array constant:

=LARGE({29,14,33,19,17},3) // returns 19

Note values do not need to be sorted. To retrieve the 1st, 2nd, and 3rd largest values in a range:

In the example shown, the formulas in G5, G6, and G7 are, respectively:

See below for more advanced formulas based on the LARGE function.

### Notes

- LARGE ignores empty cells, text values, and TRUE and FALSE values.
- If
*array*contains no numeric values, LARGE returns a #NUM! error. - To determine the rank of a number in a data set, use the RANK function.

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