It looks like you're working on a survey involving 7 adults and their reported work hours. The problem involves finding the mean, mode(s), and possibly other statistical information based on their data. Let's break it down:

1. The data provided: 57, 45, 40, 35, 40, 36, 57 (hours worked per week).

(a) What is the mean of this data set?

To find the mean (average), you add all the values together and then divide by the number of values.

Mean = (57 + 45 + 40 + 35 + 40 + 36 + 57) / 7

(b) What is the median of this data set?

The median is the middle value when the data set is ordered from least to greatest. If there is an odd number of values, the middle one is the median.

(c) How many modes does the data set have?

The mode is the value that appears most often in the data. If no value repeats, the data has zero modes. If one value repeats more than once, it has one mode. If more than one value repeats, it could have two or more modes.

Let me calculate these values for you. numpy as np

Data set

data = [57, 45, 40, 35, 40, 36, 57]

Calculate mean

mean = np.mean(data)

Calculate median

median = np.median(data)

Calculate mode(s)

from scipy import stats mode = stats.mode(data)

mean, median, mode.mode[0], mode.count[0]Here are the results based on the data you provided:

1. Mean: The mean of the data set is approximately 44.3 hours (rounded to one decimal place).

2. Median: The median of the data set is 40 hours.

3. Mode: The mode of the data set is 40, which appears twice (the data has 1 mode).

Let me know if you need further clarification or have any questions!

Related Questions:

1. What is the difference between the mean, median, and mode in terms of their representation of the data?
2. How would you calculate the range of this data set?
3. If the data set had one more value, 50, how would that affect the mean, median, and mode?
4. How do outliers impact the mean and median in this data set?
5. What other statistical measures could be useful to summarize this data?

Tip: When calculating the mean, always make sure to divide by the correct number of data points!