# Test: Statistics Foundation I - Challenging

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Question 1:   Find the median of the data set  $13,2,9,15,10,24,11$ .
$11$
$24$
$15$
$10$
Question 2:   Find the median for the data  $18,43,24,17,21,26$ .
$26$
$24$
$22.5$
$17$
Question 3:   The arithmetic mean of  $3.7$  and  $x$  is  $2.15$ .  Find  $x$ .
$60$
$0.6$
$6$
$0.06$
Question 4:   The arithmetic mean of the two numbers is  $6.8$ ,  and the arithmetic mean of the other ten numbers is  $2.9$ .  Find the arithmetic mean of these  $12$  numbers.
$3.55$
$10$
$35.5$
$355$
Question 5:   The arithmetic mean of  $5$  numbers is  $6.9$  and the arithmetic mean of the other two numbers is  $6.2$ .  Find the arithmetic mean of these seven numbers.
$6.7$
$67$
$670$
$0.67$
Question 6:   The arithmetic average of  $3.7$  and  $x$  is  $2.15$ .  Find  $x$ .
$60$
$-0.6$
$6$
$0.6$
Question 7:   The arithmetic mean of two numbers is  $5.6$ .  Find these numbers if one of them is  $3.4$  less than the other.
$7$  and  $3$
$7.3$  and  $39$
$73$  and  $3.9$
$7.3$  and  $3.9$
Question 8:   The first year from the field of  $100$  acres harvested  $3510$  tons of grain, the following year  $3680$  tons. What is the average yield per acre of this field?
$359.5t}{acre}$
$3595t}{acre}$
$35.95t}{acre}$
$3.595t}{acre}$
Question 9:   Find the arithmetic mean of fractions  $\frac{21}{13},\frac{29}{18},\frac{31}{13},\frac{25}{18}$ .
$175$
$0.175$
$1.75$
$17.5$
Question 10:   The cyclist traveled at  $18km}{h}$  for  $1$  hour, then at  $17.5km}{h}$  for  $2$  hours, and at  $18.2km}{h}$  for the last  $3$  hours. At what average speed did the cyclist move?
$18km}{h}$
$17km}{h}$
$17\frac{14}{15}km}{h}$
$17\frac{13}{15}km}{h}$