True or false: the mode is universally an accurate representation of data sets because it captures the number that occurs most often.

False

Step-by-step explanation:

Actually, the second side of the question is true. Yes, mode is the most frequent and often number captures the data set. But, it could not be said about the accurate and universal data sets representation. Because:

1) Sometimes mode might not be unique, it may have more than one so we will be stuck about choosing the best representation.

2) Or, if we have continuous data, we will have a lot of values so it will be tough to determine.

3) The problem of not being available to provide the very good measure of the central tendency. It happens, for instance, the mark mostly seen is very far from the rest of the data.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

c

step-by-step explanation: