Question

1. vaughn surveyed 9 classmates. he asked each classmate for the number of days in the previous week that he or she had eaten fruit and the number of days that he or she had exercised. the scatter plot displays the results of his survey below.

a. what is the median number of days that the 9 classmates have eaten fruit last week?
b. what is the range of the number of days the 9 classmates exercised?

1. kris asked 6 of her friends how many books they read during the summer. kris determined the following measures about the number of books read by the 6 friends.

• mean: 8
• median: 8
• range: 12

the 3 friends who read the most books over the summer read 14, 13, and 11 books. how many books were read by each of the other 3 friends?
a. 1, 2, 4
b. 2, 3, 5
c. 2, 3, 6
d. 2, 4, 5

1. derek has two bunches of similar bananas. one bunch has 7 bananas, and the other bunch has 8 bananas. the list below shows the weight, in grams, of each of the bananas in the bunch of 7.

128 137 131 124 160 125 119
what measurement is most likely closest to the total weight of 8 bananas?

Explanation:

Problem 4

Step1: Extract fruit days data

From scatter plot, x-values (fruit days): $0, 1, 1, 2, 3, 4, 5, 6, 7$

Step2: Find median (a)

Sort data, pick 5th value: $3$

Step3: Extract exercise days data

From scatter plot, y-values (exercise days): $1, 3, 3, 4, 5, 6, 6, 2, 7$

Step4: Calculate range (b)

Subtract min from max: $7 - 1 = 6$

Step1: Calculate total books read

Use mean: $6 \times 8 = 48$

Step2: Sum top 3 values

$14 + 13 + 11 = 38$

Step3: Find sum of other 3

$48 - 38 = 10$

Step4: Check option sums

Option C: $2 + 3 + 6 = 10$; verify median: sorted full set $2,3,6,11,13,14$, median $\frac{6+11}{2}=8$; range $14-2=12$

Step1: Calculate mean of 7 bananas

Sum weights: $128+137+131+124+160+125+119 = 924$
Mean: $\frac{924}{7} = 132$

Step2: Estimate total for 8 bananas

Multiply mean by 8: $132 \times 8 = 1056$

Answer:

a. $3$
b. $6$

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Problem 5