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Some friends compared the sizes of their sticker collections.

Sticker collections
Name Number of stickers
Nolan
five tally marks one tally mark
Anne
five tally marks five tally marks
Tracy
five tally marks five tally marks five tally marks
Sebastian
five tally marks five tally marks two tally marks
Eva
five tally marks five tally marks

What is the range of the numbers?

1 answer

To determine the range of the number of stickers in the collections, we first need to convert the tally marks into numerical values.

  1. Nolan: 5 tally marks + 1 tally mark = 5 + 1 = 6 stickers
  2. Anne: 5 tally marks + 5 tally marks = 5 + 5 = 10 stickers
  3. Tracy: 5 tally marks + 5 tally marks + 5 tally marks = 5 + 5 + 5 = 15 stickers
  4. Sebastian: 5 tally marks + 5 tally marks + 2 tally marks = 5 + 5 + 2 = 12 stickers
  5. Eva: 5 tally marks + 5 tally marks = 5 + 5 = 10 stickers

Now we have the number of stickers for each friend:

  • Nolan: 6
  • Anne: 10
  • Tracy: 15
  • Sebastian: 12
  • Eva: 10

Next, we find the maximum and minimum values:

  • Maximum: 15 (Tracy)
  • Minimum: 6 (Nolan)

The range is calculated by subtracting the minimum value from the maximum value: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 15 - 6 = 9 \]

So, the range of the numbers is 9.