Statistics Mastery Challenge

Calculate the mean of the following data set: 4, 8, 6, 5, 3.

• 5.2

• 4.5

• 6.0

• 7.2

What is the median of the data set: 12, 15, 11, 14, 13?

• 14

• 12

• 15

• 13

Interpret the box plot: What does the length of the box represent?

• The length of the box represents the interquartile range (IQR) of the data.

• The length of the box shows the median of the data.

• The length of the box represents the range of the data.

• The length of the box indicates the total number of data points.

Given a box plot, how do you identify the median?

• The median is the average of the lower and upper quartiles.

• The median is the highest point of the box.

• The median is identified by the line inside the box of the box plot.

• The median is represented by the left whisker of the plot.

What is the probability of rolling a sum of 7 with two dice?

• 1/6

• 1/12

• 1/8

• 1/4

If a data set has a mean of 20 and a median of 18, what can you infer about the distribution?

• The distribution is normally distributed.

• The distribution is negatively skewed.

• The distribution has a uniform shape.

• The distribution is positively skewed.

Create a histogram for the following data: 2, 3, 5, 7, 8, 8, 9, 10, 10, 12.

• Bins: 1-2: 1, 3-4: 2, 5-6: 1, 7-8: 2, 9-10: 2, 11-12: 1

• Bins: 2-4: 1, 5-6: 1, 7-8: 2, 9-10: 3, 11-12: 1

• Bins: 2-3: 2, 4-5: 1, 6-7: 1, 8-9: 3, 10-11: 2, 12-13: 1

• Bins: 2-3: 1, 4-5: 2, 6-7: 1, 8-9: 2, 10-11: 1, 12-13: 2

What does a normal distribution look like?

• A U-shaped curve that is skewed to the right.

• A series of random dots scattered across the graph.

• A straight line that slopes upwards.

• A bell-shaped curve that is symmetric around the mean.

How do you calculate the interquartile range from a box plot?

• IQR = Q2 - Q1

• IQR = Q3 - Q1

• IQR = Q3 + Q1

• IQR = Q3 - Q2

If the mean of a data set is 30 and the standard deviation is 5, what percentage of data falls within one standard deviation?

• 68%

• 50%

• 75%

• 90%