Which of these best describes the meaning of x̄̄ and how its value is found?

An instructor reports two scores for a short quiz: $72$ and $78$. One is the mean and the other is the median. The score distribution is left-skewed because many students scored near the top. Which value is the mean? Choose the best answer.

Listed below are the heights (in inches) of a group of individuals. Find the mean and median for this set of data.

Do the results support or contradict the belief that the average height of the adults in the group is $66$ inches?

$65$, $68$, $66$, $70$, $64$, $69$, $67$, $72$

The following stem-and-leaf plot shows the ages (in years) of participants in a community workshop. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.

Which term describes the standardized value that shows the distance of a score from the mean in units of standard deviation?

Use the following list of the battery life durations (in hours) for 25 different laptops to find the 60^th percentile.

| 2.1 | 2.3 | 2.5 | 2.7 | 3.0 |

| 3.2 | 3.4 | 3.6 | 3.8 | 4.0 |

| 4.2 | 4.5 | 4.7 | 4.9 | 5.1 |

| 5.3 | 5.5 | 5.7 | 5.9 | 6.2 |

| 6.4 | 6.6 | 6.8 | 7.0 | 7.5 |

A scientist measures the blood pressure of $50$ randomly selected adults from a city to estimate the overall city's blood pressure statistics. Which standard deviation notation is appropriate for this scenario?

Why is it incorrect to use (Sigma x)^2 instead of Sigma x squared in the numerator of the standard deviation formula?

The number of hours of sunlight received by different regions of a city during the summer months is provided below:

$6,8,5,7,9,9,10,7,6,8,10,7$

Find the variance.

Use the given list of the battery life durations (in hours) for 25 different laptops to find the value of the quartile indicated below.

| 2.1 | 2.3 | 2.5 | 2.7 | 3.0 |

| 3.2 | 3.4 | 3.6 | 3.8 | 4.0 |

| 4.2 | 4.5 | 4.7 | 4.9 | 5.1 |

| 5.3 | 5.5 | 5.7 | 5.9 | 6.2 |

| 6.4 | 6.6 | 6.8 | 7.0 | 7.5 |

Q1

Using the class midpoints and corresponding frequencies, estimate the sample mean and standard deviation of the provided data.

In a sample of monthly electric bills, the mean is $\mathrm{\backslash (}95$ and the standard deviation is $\mathrm{\backslash )}12$. The bills follow a bell-shaped distribution. Is a bill of $\$125$ unusual? Provide your reasoning.

The goals scored by the $50$ winning teams in a football tournament final are represented in the ogive below. What score represents the $60$^th percentile? What interpretation could be drawn from this?

Before entering a new dataset, which steps should you take to clear the existing data in L1 on a TI-84 calculator?

Find the five-number summary for the following data set: $12$, $15$, $11$, $14$, $13$, $17$, $16$, $12$, $18$, $15$, $14$, $13$, $19$, $16$, $15$, $17$, $13$, $12$, $18$, $14$