What is the five-number summary for the data set?

43 32 48 23 21 42 39 70 59

(a)minimum: 21, q¹: 23, q²: 42, q³: 59, maximum: 70(b)minimum: 21, q¹: 27.5, q²: 40.5, q³: 53.5, maximum: 70(c)minimum: 21, q¹: 32, q²: 42, q³: 53.5, maximum: 70(d)minimum: 21, q¹: 27.5, q²: 42, q³: 53.5, maximum: 70

The correct answer is:  [D]:

    " Minimum: 21, Q₁: 27.5, Q₂: 42, Q₃: 53.5, Maximum: 70 " .

   Note:  Rearrange the numbers in the data set from least to greatest:

                   {21, 23, 32, 39, 42, 43, 48, 59, 70} .

Since there are an odd number of values in the data set, 

   "Q₁ = (23+32)/2 = 55/2 = 27.5 " ;

   "Q₃ = (48 + 59) /2 =  107 = 53.5 " ;

         The minimum (lowest value) is "21" (as we can see); and the maximum (highest value) is "70" (as we can see).

  These values correspond to:  "Answer choice:  [D]: 

   " Minimum: 21, Q₁: 27.5, Q₂: 42, Q₃: 53.5, Maximum: 70 " .