A company wants to gather data on which color of lipstick is the most popular. Questionnaires were mailed to customers, asking to identify their favorite color from a list and mail the responses back. Out of 2000 responses 850 chose red, 600 chose purple, 200 chose blue and 350 chose black. What is the ONLY measure you can find on this data?

Measures of Frequency

Step-by-step explanation:

Measures of Frequency:

This tells us about the number of Count, Percentages, probabilities and Frequency

It Shows how often something occurs

We Use this when we want to show how often a response is given

Each time x increases by 2 (eg from x = 1 to x = 3), the value of y drops by 10 (eg from y = 20 to y = 10)

Therefore the slope is...

slope = rise/run = (change in y)/(change in x) = -10/2 = -5

slope = -5

So each time x increases by 1, y will decrease by 5

Flip things around: each time x decreases by 1, y will increase by 5

So the pair (x,y) = (1,20) shown in row 1 of the table leads to (0,25) based on the rule above. Another way to see this is to plug m = -5, x = 1 and y = 20 into y = mx+b and solve for b to get b = 25

Answers:

Rate of change = -5

Initial value = 25

Notes: slope is another term for rate of change. The y intercept is another way of stating the initial value