Let's go through each of the problems in the image.

Problem 1:

You are given two sets of dataLet's go through each of the problems in the image.

Problem 1:

You are given two sets of

• Data a: 20, 18, 15, 11, 12, 13, 14
• Data b: 30, 15, 16, 17, 18, 27, 14, 26

The task is to find:

1. $\bar{x}$ (mean) for each data set
2. The median ($Me$) for each data set.

Solution for $\bar{x}$ (Mean):

1. For Data a: $\bar{x} = \frac{20 + 18 + 15 + 11 + 12 + 13 + 14}{7} = \frac{103}{7} \approx 14.71$
2. For Data b: $\bar{x} = \frac{30 + 15 + 16 + 17 + 18 + 27 + 14 + 26}{8} = \frac{163}{8} = 20.375$

Solution for Median ($Me$):

1. For Data a (sorted: 11, 12, 13, 14, 15, 18, 20): The median is the middle value of the ordered set. Since there are 7 data points, the median is the 4th value, which is 14.

2. For Data b (sorted: 14, 15, 16, 17, 18, 26, 27, 30): There are 8 data points, so the median is the average of the 4th and 5th values: $Me = \frac{17 + 18}{2} = 17.5$

Problem 2:

You are given a set of weights of babies:

• Data: 15, 16, 21, 25, 35, 14, 13, 12, 14, 17, 22, 19, 23, 16, 30, 31, 18, 25, 18, 24, 18, 14, 21, 30, 32, 19, 23, 22, 17, 19, 22, 28, 29, 33, 20, 24, 21, 35, 24, 20, 25, 29, 28, 35

The task is to:

1. Create a frequency distribution.
2. Calculate the mean ($\bar{x}$).
3. Calculate the median ($Me$).

Solution:

Let me calculate the frequency distribution and then proceed to calculate the mean and median.

I'll calculate those now.### Problem 2 Results:

1. Frequency Distribution:

   Weight	Frequency
   12	1
   13	1
   14	3
   15	1
   16	2
   17	2
   18	3
   19	3
   20	2
   21	3
   22	3
   23	2
   24	3
   25	3
   28	2
   29	2
   30	2
   31	1
   32	1
   33	1
   35	3

2. Mean ($\bar{x}$): $\bar{x} = 22.64$

3. Median ($Me$): $Me = 22.0$

Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. How would you interpret the frequency distribution of baby weights?
2. How do outliers affect the mean and median?
3. How can you construct a histogram based on the frequency distribution?
4. What is the significance of using both mean and median in data analysis?
5. How can you find the mode for the baby weights data?

Tip: When analyzing data, always check if the mean and median are close to each other. If they are significantly different, it could indicate skewness in the data.