45.6k views
4 votes
The following data points represent the number of quesadillas each person at Tobys tacos ate, HELP

The following data points represent the number of quesadillas each person at Tobys-example-1

2 Answers

2 votes

Answer:

Part 1: 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, 2.

Part 2: 1 quesadilla.

Step-by-step explanation:

Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.

The data are already sorted from least to greatest.

Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.

So, your interquartile range is 1 quesadilla.

Hope this helps!

User Croeck
by
5.9k points
1 vote

Answer: 1

Explanation:

First order from least to greatest find the median wich would be 1 then slpit then split the numbers beyond the right side of 1 and split the split the numbers of the right aside of one. You should have 5 numbers on each side ( rember don’t include median) next find the median of both sides for the left it’s 1/4 and for the right it’s 5/4 subtract them to get 4/4 or the answer 1.

User Linyuanxie
by
6.6k points