Find the range:

5, 3, 6, 12, 9, 16

9 answers

To find the range, we first need to find the highest and lowest numbers in the set.

Highest number: 16
Lowest number: 3

Range = Highest number - Lowest number
Range = 16 - 3
Range = 13

Therefore, the range of the set {5, 3, 6, 12, 9, 16} is 13.
Find the mode:
0, 1, 2, 2, 2, 3, 6
The mode is the number that appears most frequently in a set of data.

In the set {0, 1, 2, 2, 2, 3, 6}, the number 2 appears most frequently, a total of 3 times. Therefore, the mode of the set is 2.
A warden captures and tags 60 deer in a forest. A month later he captures 100 deer and finds that 10 of them are tagged. Estimate the actual number of deer in the forest.
To estimate the actual number of deer in the forest, we can use a proportion.

Let x represent the total number of deer in the forest.

The proportion of tagged deer captured in the second sample is equal to the proportion of tagged deer in the total population:
10 (tagged deer in the second sample) / 100 (total deer in the second sample) = 60 (tagged deer in the total population) / x (total deer in the forest)

Now, we can solve for x:
10/100 = 60/x
10x = 6000
x = 600

Therefore, we estimate that there are around 600 deer in the forest.
In a sample of 50 customers one morning, 20 were wearing jeans. If there were 800 customers that afternoon, estimate the number of visitors who were wearing jeans.
To estimate the number of visitors wearing jeans in the sample with 800 customers, we can use the same proportion using the data from the morning sample:

20 (customers wearing jeans in the morning sample) / 50 (total customers in the morning sample) = x (customers wearing jeans in the afternoon sample) / 800 (total customers in the afternoon sample)

Now, we can solve for x:
20/50 = x/800
20 * 800 = 50x
16000 = 50x
x = 320

Therefore, we estimate that there were around 320 visitors wearing jeans in the sample with 800 customers.
In a representative sample of 5 chicken​ wings, there are 2 mild wings. If the platter has 90 chicken​ wings, estimate the number of mild wings on the platter.
To estimate the number of mild wings on the platter with 90 chicken wings based on the representative sample of 5 chicken wings, we can use a proportion:

2 (mild wings in the sample) / 5 (total wings in the sample) = x (mild wings on the platter) / 90 (total wings on the platter)

Now, we can solve for x:
2/5 = x/90
2 * 90 = 5x
180 = 5x
x = 36

Therefore, we estimate that there are around 36 mild wings on the platter with 90 chicken wings.