1. An impartial judge of a local garden competition collectsscores from two groups of judges on what he suspects to be thenumber one garden. He finds the first group (n = 5) has a meanscore of 76. The second group (n = 3) has a mean score of 91. Sothat he may declare the final score, what is the weighted mean ofthese two groups?
2. A social scientist measures the number of minutes (per day)that a small hypothetical population of college students spendsonline. Student Score Student Score A 94 F 96 B 88 G 25 C 74 H 61 D88 I 82 E 98 J 98
(a) What is the range of data in this population? min
(b) What is the IQR of data in this population? min
(c) What is the SIQR of data in this population? min
(d) What is the population variance?
(e) What is the population standard deviation? (Round youranswer to two decimal places.) min
3. A sociologist records the annual household income (inthousands of dollars) among a sample of families living in ahigh-crime neighborhood. Locate the lower, median, and upperquartiles for the times listed below. Hint: First arrangethe data in numerical order.
a) lower quartile thousand dollars
b) median thousand dollars
c) upper quartile thousand dollars
42 22 46 33 37 32 37 47 51 25
4. A theme park owner records the number of times the same kidsfrom two separate age groups ride the newest attraction. Age 13–16Time Age 17–21 Time 1 10 1 4 2 9 2 3 3 3 3 7 4 1 4 4 5 10 5 8 6 3 61 7 8 7 2 8 9 8 5 9 6 9 4 10 5 10 2 Using the computationalformula, for the age group of 13–16? (Round your answers forvariance and standard deviation to two decimal places.) what isthe
a) SS
b) sample variance
c) standard deviation
