Could someone help me with this question? Make up a set of 7 numbers having the following landmarks: mode 21 median 24 maximum 35 range 20.
15, 21, 21, 24, 27, 29, 35
The mode (21) is the number that occurs most frequently. The median (24) is a number in the middle of the distribution, with half of the numbers higher and half lower.
They don't ask for the mean, but that would be the average, or 24.6 in this case.
Thank you so much for your help and explaining it!
Thank you so much for your help and explaining it!
Niki--Sorry but I goofed. Look at the asnwer by DrWLS. The numbers are ok but I mixed up mode and median. and the problem didn't ask for mean (the average.)
how did you come up with this answer
To come up with a set of numbers that meet the given landmarks, you need to consider the definitions of each landmark and work backwards to find numbers that fit the criteria.
1. Mode: The mode is the number that appears most frequently. In this case, the mode is given as 21. So, you need at least one occurrence of 21 in the set.
2. Median: The median is the middle number when the set is arranged in ascending order. In this case, the median is given as 24. So, you should include 24 as one of the numbers.
3. Maximum: The maximum is the highest number in the set. In this case, the maximum is given as 35. So, you need to include 35 as one of the numbers in the set.
4. Range: The range is the difference between the maximum and minimum values in the set. In this case, the range is given as 20. To maximize the range, you should include both the maximum (35) and minimum values. Therefore, the minimum value can be found by subtracting the range from the maximum: 35 - 20 = 15.
Now, you have the mode (21), median (24), maximum (35), and minimum (15) values identified.
To complete the set, you can select other numbers that fit within this range, making sure you have enough numbers to reach a total of 7. In this case, you can include 27 and 29 to get the following set: 15, 21, 21, 24, 27, 29, 35.
Please note that this is just one possible answer, and there could be other valid sets of numbers that meet the given landmarks.