Sherelle and Venita find two bags of coins in their grandmother’s attic. Each girl selects a bag, takes a random sample of 20 coins from that bag, and lists the dates of those coins as the number of years since 1900. Here are the results.
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62

1.Find the five-number summary of each data set. Then construct box-and-whisker plots of the data sets. Draw both plots above the same number line. Label the plots with the girls’ names.

Step-by-step explanation:

Hello!

The five-number summary comprehends the minimum and maximum values, the 1st and 3rd quartiles and the median.

1st step: is to arrange the data sets from least to greatest.

Sherelle:

2639565860626566666871727273747581838485

Venita:

4445515153535557586265666969707375777879

2nd step: To calculate each quartile you have to determine their position and then identify which observation sits in that position:

Quartile 1:

PosQ₁: n/4= 20/4= 5

Quartile 2 (Median)

PosMe: n/2= 20/2= 10

Quartile 3

PosQ₃: n*(3/4)= 20*(3/4)= 15

Since both samples have the same size, the 1st quartile will be the fifth observation of each sample, the median will be the tenth observation and the 3rd quartile will be the fifteenth.

Sherelle:

Q₁: 60

Me: 68

Q₃: 74

Minimum: 26

Maximum: 85

Venita:

Q₁: 53

Me: 62

Q₃: 70

Minimum: 44

Maximum: 79

I hope this helps!

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step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm