The diagram shows normal curves for the probability distributions of P and Q, that each contain n values.

a. Write down a statement comparing:

i. σ_P and σ_Q

ii. The median value for P and the median value for Q

iii. The interquartile range for P and the interquartile range for Q.

b. The datasets P and Q are merged to form a new dataset denoted by W.

i. Describe the range of W.

ii. Is the probability distribution for W a normal curve? Explain your answer.

iii. Copy the diagram above and sketch onto it a curved graph representing the probability distribution for W. Mark the relative positions of μ_P, μ_Q and μ_W along the horizontal axis.

Transcribed Image Text:

eview P Probability density