Question

question 1 (1 point) the dot plot displays the number of bushes in the yards for houses in a neighborhood. what is the median? ______ bushes dot plot image blank 1:

Explanation:

Step1: Count total number of data points

Count the dots: For 5: 2, 6: 3, 7: 4, 8: 3, 9: 2, 10: 1, 11: 5. Total = \(2 + 3 + 4 + 3 + 2 + 1 + 5 = 20\).

Step2: Find the median position

Median for \(n = 20\) (even) is average of \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th terms. So \(\frac{20}{2}=10\)th and \(11\)th terms.

Step3: Order the data and find the terms

List the data in order: 5 (2 times), 6 (3 times, cumulative 5), 7 (4 times, cumulative 9), 8 (3 times, cumulative 12). So 10th term is 8, 11th term is 8.

Step4: Calculate the median

Median = \(\frac{8 + 8}{2}=8\).

Answer:

8