Question

Listed below are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the​ 5-number summary. 126 128 131 135 136 140 143 145 147 148 152 154 155 156 159 162 164 166 169 175

Answer 1

Answer:

The 5-number summary is maximum= 175, minimum=126, median=150, Q₁=138 and Q₃=160.5.

Step-by-step explanation:

The given data set is

126, 128, 131, 135, 136, 140, 143, 145, 147, 148, 152, 154, 155, 156, 159, 162, 164, 166, 169, 175

The minimum value of the data is 126 and the maximum value of the data is 175.

Divide the data in two equal parts.

(126, 128, 131, 135, 136, 140, 143, 145, 147, 148), (152, 154, 155, 156, 159, 162, 164, 166, 169, 175)

The median of the data is

$Median=\frac{148+152}{2}=150$

Now divide each parenthesis in two equal parts.

(126, 128, 131, 135, 136), (140, 143, 145, 147, 148), (152, 154, 155, 156, 159), (162, 164, 166, 169, 175)

$Q_1=\frac{136+140}{2}=138$

$Q_3=\frac{159+162}{2}=160.5$

Therefore the 5-number summary is maximum= 175, minimum=126, median=150, Q₁=138 and Q₃=160.5.