Allie and Annika decided to keep track of the number of books they read during the year. The table shows the total number of books read for five months.
Number of Books Read
Reader Jan. Feb. March April May
Allie 7 3 12 5 8
Annika 4 2 9 7 5
(a) Create a box-and-whisker plot with a single number line to compare the two data sets. Use the minimum and maximum values of the data points to choose an appropriate scale for the number line.
(b) Which girl’s data set has the lesser median?
(c) How did you determine the value in the first quartile (Q1 value) for Allie?
(d) In which quarter of Annika’s data are the values most spread out? Explain.
(e) Compare the interquartile range (IQR) for both data sets. Show your work.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

irrational, cannot

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.