Question

name _______ date _______virginia sol 5.17 describe and determine the median of a set of data bchoose the correct answer for each item below. you may use a calculator.1. to find the median of a set of a data, you:a. add all the numbers in the data set and then divide the total by the number of data points.b. put the numbers in order from smallest to largest and then find the number in the middle.c. find the difference between the greatest and least values in the data set.d. find the number that repeats the most.2. in which data set below, does the median equal 10?a. 2, 4, 6, 8, 10b. 5, 10, 15, 20, 25c. 10, 10, 10, 15, 20d. 5, 6, 7, 8, 9, 103.21, 12, 17, 17, 8the number of birds spotted by 5 people on a bird watching trip is shown above.determine the median of the set of data.a. 8 b. 13 c. 15 d. 174.405, 400, 425, 450, 540determine the median of the set of data above.a. 400 b. 20 c. 425 d. 4445. in which data set below is the median 37?6. in which data set or sets below does the

Explanation:

Step1: Identify median method

The median is the middle value of an ordered data set. So first, sort the data from smallest to largest, then locate the middle value.

Step2: Solve question 1

Match the median definition to the options. Option B describes ordering the numbers first, which is the correct first step for finding the median.

Step3: Solve question 2

For each option, sort the data and find the median:

• Option A: Sorted: $2, 4, 6, 8, 10$. Median = $6$
• Option B: Sorted: $5, 10, 15, 20, 25$. Median = $15$
• Option C: Sorted: $10, 10, 10, 15, 20$. Median = $10$
• Option D: Sorted: $5, 6, 7, 8, 9, 10$. Median = $\frac{7+8}{2}=7.5$

Step4: Solve question 3

Sort the data set: $8, 12, 17, 17, 21$. The middle value (3rd term) is the median.

Step5: Solve question 4

Sort the data set: $400, 405, 425, 450, 540$. The middle value (3rd term) is the median.

Answer:

1. B. Put the numbers in order from smallest to largest and then find the number in the middle.
2. C. 10, 10, 10, 15, 20
3. D. 17
4. C. 425