You are tracking the number of hours spent studying per week by students in a class, and the recorded hours are:

5, 7, 10, 8, 6, 9, 4

To analyze this data, several statistical measures can be calculated:

1. Mean (Average):

The mean is calculated by summing all the values and dividing by the total number of students. $\text{Mean} = \frac{5 + 7 + 10 + 8 + 6 + 9 + 4}{7} = \frac{49}{7} = 7$

2. Median:

The median is the middle value when the data is arranged in ascending order. Let's arrange the dataYou are tracking the number of hours spent studying per week by students in a class, and the recorded hours are:

5, 7, 10, 8, 6, 9, 4

To analyze this data, several statistical measures can be calculated:

1. Mean (Average):

The mean is calculated by summing all the values and dividing by the total number of students. $\text{Mean} = \frac{5 + 7 + 10 + 8 + 6 + 9 + 4}{7} = \frac{49}{7} = 7$

2. Median:

The median is the middle value when the data is arranged in ascending order. Let's arrange the $4, 5, 6, 7, 8, 9, 10$ Since there is an odd number of values (7), the median is the middle value: $\text{Median} = 7$

3. Mode:

The mode is the value that appears most frequently. In this case, all values are distinct, so there is no mode.

4. Range:

The range is the difference between the highest and lowest values. $\text{Range} = 10 - 4 = 6$

5. Variance and Standard Deviation:

To calculate variance and standard deviation, we first find the squared deviations from the mean.

[ \text{Variance} = \frac{(5 - 7