Question

2) 94, 69, 84, 69, 90, 75, 94, 90, 90, 9, 5

to
mean =
median =
mode=
Range =>

Answer 1

To calculate the mean, median, mode, and range for the provided data set, first order the values, then apply appropriate formulas. The mean is 66.45, the median is the sixth value (84), the mode is the most frequent value (90), and the range is the difference between the highest and lowest values (89).

Step-by-step explanation:

The student is asking how to calculate the mean, median, mode, and range of a data set in Mathematics. The data set provided is 94, 69, 84, 69, 90, 75, 94, 90, 90, 9, 5. To find these measures of central tendency and dispersion, follow these steps:

1. First, order the data set from smallest to largest.
2. Calculate the mean by summing all values and dividing by the number of values.
3. The median is the middle value when the data set is ordered. If the number of values is odd, it is the center value. If even, it is the average of the two middle values.
4. The mode is the value that appears most frequently.
5. The range is the difference between the largest and smallest values.

Here are the calculations with the given data set:

• Mean: (94 + 69 + 84 + 69 + 90 + 75 + 94 + 90 + 90 + 9 + 5) / 11 = 66.45
• Ordered Data Set: 5, 9, 69, 69, 75, 84, 90, 90, 90, 94, 94
• Median: The sixth value, which is 84.
• Mode: The value most frequent, which is 90.
• Range: 94 - 5 = 89