For a​ project, the teacher asked a group of seven students to each count the number of pedestrians that cross the street where they live on a certain day. The data collected had a range of 41. Six of the seven data values are shown below. Find the missing data value.

30 comma
19 comma
22 comma
12 comma
32 comma
19

1 answer

The range of the data is given as 41. To find the missing data value, we can find the largest and smallest data values from the six given values:

Largest data value = 32
Smallest data value = 12

Now we can use the range formula to find the missing data value:

Range = Largest data value - Smallest data value
41 = 32 - 12
41 = 20

Therefore, the missing data value must be 41 less than the largest data value:

32 - 41 = -9

So, the missing data value is 9.