Data Distributions
What does a positively skewed distribution look like?
A long tail to the right
What does a histogram or line graph show us about data?
How data values are distributed across a range.
What does the mean tell us about a data set?
The average value.
Name the three main measures of central tendency.
Mean, Median, and Mode.
What does each stem represent?
A place value (e.g., tens).
What does a negatively skewed distribution look like?
A long tail to the left
If Graph 1 is symmetrical and Graph 2 is skewed, which one shows more consistent data?
Graph 1 (symmetrical).
What does the range tell us?
How spread out the data is (difference between highest and lowest).
How do you find the median?
Order the data and find the middle value.
What do the leaves represent?
The individual data values (e.g., ones).
What does it mean if a graph is symmetrical?
Both sides are even
What time should a new employee start if orders peak around 12 pm?
Around 11 am (to prepare before the rush).
Apple tree mean = 165, Cherry tree mean = 162. Which is taller overall?
Apple tree.
How do you find the mode?
The most frequently occurring value.
Why is a back-to-back plot useful?
It compares two data sets side by side.
What does bimodal mean?
The data has two clear peaks.
If the number of orders drops in the afternoon, what does that show?
Lower demand or fewer customers later in the day.
Apple tree range = 25, Cherry tree range = 15. Which is more consistent?
Cherry tree (smaller range).
Farm A = [120, 290, 250, 40, 330, 120, 150, 190] – What’s the range?
330 − 40 = 290.
How do you create the key for a stem-and-leaf plot?
Show one example (e.g., 2
Why is it important to describe the shape of data?
It helps us understand patterns, spread, and outliers in data.
How can analysing graphs help a restaurant plan staff shifts?
By identifying busy periods and scheduling accordingly.
Why is it important to compare multiple measures, not just the mean?
Because mean alone can be affected by outliers or uneven data.
If Farm A’s mean is higher than Farm B’s, what can we predict?
Farm A is likely to harvest more apples next year.
What can you determine by comparing two stem-and-leaf plots?
Which group has more variation or higher values.