Question

184	176	181	157	168
154	148	165	190	162

The table above shows the heights of a group of patients, recruited for a clinical trial,in centimetres. Two more patients are recruited to the study. After these patients join, the mean height is found to be 169 cm. Which of the following could be the heights of the two new patients?

• A. 146 cm and 177 cm
• B. 150 cm and 188 cm
• C. 165 cm and 177 cm
• D. 157 cm and 186 cm

Answer 1

The correct option is D 157 cm and 186 cm

The given height of ten patients are 184,176,181,157,168,154,148,165,190 and 162

Then total height of ten patients =184+176+181+157+168+154+148+165+190+162=1685 cm

But after add two patients mean height is 169 cm

Then total height of 12 patients =$169\times 12=2028$ cm

Then height of two patients =2028-1685=343 cm

If (A) is answer then height of two patients=146+177=323 cm

If (B) is answer then height of two patients=150+188=338 cm

If (C) is answer then height of two patients=165+177=342 cm

If (D) is answer then height of two patients=157+186=343 cm

As seeing above answers the (D) is write answer