Question

1. researchers studied how the stress levels of participants differ across three different therapy types: cognitive - behavioral therapy (cbt), mindfulness meditation, and group therapy. the data are presented in the plot on the right. what kind of plot is used by the researchers? a) histogram b) bar graph c) box - plot d) stem - and - leaf plot 16. for the mindfulness therapy type group in the plot above, the researchers computed five - summary statistics: minimum = 30; q1 = 39.5; q3 = 46.5; maximum = 62.5. based on the information, compute interquartile range (iqr). a) 14 b) 46 c) 7 d) 49.5 17. the stem - and - leaf plot below shows the distance (km) between your home and supermarket. based on the plot, which value in the dataset is an outlier? a) 12.1 b) 12.3 c) 1.1 d) 1.15 18. in the linear regression equation y = mx + c, which of the following correctly describes each component? a) m indicates the value of y when x is zero, and c indicates the steepness of the line. b) m indicates the steepness of the line, and c indicates the value of y when x is zero. c) m represents the total distance between two points on the line, and c represents the horizontal line. d) m and c are interchangeable, and both represent the position of the line relative to the x - axis. 19. which of the following best describes the skewness of the distribution in the graph? a) symmetric b) left - skewed c) right - skewed d) cannot be determined from the histogram 20. a researcher is studying the number of hours of sleep participants get per night. after collecting data from 10 participants, the researcher finds the following values: 7, 8, 6, 9, 7, 8, 7, 6, 8, 10. what is the mean hours of sleep? a) 7.6 b) 7.8 c) 8.6 d) 7.5

Explanation:

Step1: Recall the formula for mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $x_{i}$ are the individual data - points.

Step2: Calculate the sum of data

Here, $n = 10$ and the data points are $7,8,6,9,7,8,7,6,8,10$. So, $\sum_{i=1}^{10}x_{i}=7 + 8+6 + 9+7 + 8+7 + 6+8 + 10=76$.

Step3: Calculate the mean

$\bar{x}=\frac{76}{10}=7.6$.

Answer:

A. 7.6