Question

Certain memory chips are made from silicon wafers. The wafers are routed through machines in an order that is referred to as a recipe. The wafers may go through the same machine several times as the chip is created. The data given below is a sample of processing times, measured in fractions of hours, at a particular machine center for one chip recipex

Certain memory chips are made from silicon wafers. The wafers are routed through machines in an order that is referred to as a recipe. The wafers may go through the same machine several times as the chip is created. The data given below is a sample of processing times, measured in fractions of hours, at a particular machine center for one chip recipe 0.22 0 24 0.25 027 0.29 030 0.32 033 0.35 036 0.38 0.39 041 0,42 044 0,45 046 0 48 048 049 a. Determine the 20th percentile b. Determine the mode c. Determine a number that qualifies as a median for these data. The 20th percentile is (Type an integer or a decimal.)

Answer 1

(a)

Sample size: n =20

The 20th percentile will be

20 100 P20 (20 + 1) = 42th data value

Since 4th data value is 0.27 and 5th data value is 0.29 so required percentile is

P20 = 0.27 + (0.29-0.27) . 0.2 0.274

Answer: 0.274

(b)

Mode is data value with highest frequency. So mode is 0.48.

(c)

There are 20 data values so median will be average of 10th and 11th data values. That is median is

0.36 0.38 Median 0.37