The city recorded how many fire hydrants there are on each street.

Fire hydrants
Street Number of hydrants
Maple Street
five tally marks five tally marks five tally marks three tally marks
Lemon Street
five tally marks five tally marks five tally marks
Pine Street
five tally marks five tally marks five tally marks
Elm Street
five tally marks five tally marks five tally marks three tally marks
Fir Street
five tally marks five tally marks five tally marks three tally marks
Aspen Street
five tally marks five tally marks five tally marks five tally marks
Rose Street
five tally marks five tally marks five tally marks three tally marks
Oak Street
five tally marks five tally marks five tally marks five tally marks

What is the mode of the numbers?

1 answer

To find the mode of the number of fire hydrants on each street, we first need to convert the tally marks into numerical values. Here's the breakdown for each street:

  • Maple Street: 5 + 5 + 5 + 3 = 18 hydrants
  • Lemon Street: 5 + 5 + 5 = 15 hydrants
  • Pine Street: 5 + 5 + 5 = 15 hydrants
  • Elm Street: 5 + 5 + 5 + 3 = 18 hydrants
  • Fir Street: 5 + 5 + 5 + 3 = 18 hydrants
  • Aspen Street: 5 + 5 + 5 + 5 = 20 hydrants
  • Rose Street: 5 + 5 + 5 + 3 = 18 hydrants
  • Oak Street: 5 + 5 + 5 + 5 = 20 hydrants

Now, listing the total numbers from above:

  • Maple Street: 18
  • Lemon Street: 15
  • Pine Street: 15
  • Elm Street: 18
  • Fir Street: 18
  • Aspen Street: 20
  • Rose Street: 18
  • Oak Street: 20

Now we can list the frequencies of the counts:

  • 15 appears 2 times (Lemon, Pine)
  • 18 appears 4 times (Maple, Elm, Fir, Rose)
  • 20 appears 2 times (Aspen, Oak)

The mode is the number that appears most frequently. In this case, 18 appears the most (4 times).

Thus, the mode of the number of fire hydrants is 18.