# Practice Question Spss Testing + Answers

Topics: Arithmetic mean, Mean, Mode Pages: 3 (556 words) Published: March 7, 2013
Last month, Yasmin counted the number of cats and the number of dogs she met during her daily walk in the park. Cats: 1 5 2 3 8 9 2 5 1 7 3 3 6 8 2 4 8 4 6 1 4 7 3 2 8 9 4 4 6 2 1 Dogs: 4 8 9 5 5 7 3 7 2 8 9 6 6 8 3 3 5 6 8 3 4 2 6 7 9 1 4 2 5 5 7 Using the data gathered on cats:

a) Put these 31 observations into an absolute frequency table. b) Calculate the minimum, Q1, the median, Q3 and the maximum (the so-called five core values). c) Calculate the range.
d) Calculate the interquartile distance (IQD).
e) Where meaningful, calculate the mode, the median and the arithmetic mean.

Do the same for the data gathered on dogs.

Cats
a.
Number of Cats Seen in Park|
Number of Cats| Frequency|
1| 4|
2| 5|
3| 4|
4| 5|
5| 2|
6| 3|
7| 2|
8| 4|
9| 2|
Total| 31|

b. minimum: 1, maximum:9
arrange the observations in order: 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 6 6 6 7 7 8 8 8 8 9 9 median: 4 (the 16th observation is the middle one)
lower half: 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4; upper half: 4 4 5 5 6 6 6 7 7 8 8 8 8 9 9 Q1: 2 (the 8th observation is the middle one of the lower half), Q3: 7 (the 23rd observation of the 31 observations is the middle one of the upper half) c. Range= maximum – minimum = 9-1 = 8.

d. IQD = Q3- Q1 =7-2=5
e. This variable consists of numbers and is therefore a Scale variable. All three measures of centre can be calculated. Modes: 2 and 4 (both values occur 5 times which is the highest frequency). Median: 4. Mean:138/31= 4,45

Dogs
a.
Number of Dogs Seen in Park|
Number of Dogs| Frequency|
1| 1|
2| 3|
3| 4|
4| 3|
5| 5|
6| 4|
7| 4|
8| 4|
9| 3|
Total| 31|

b. minimum: 1, maximum:9
arrange the observations in order: 1 2 2 2 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 median: 5 (the 16th observation is the middle one)
lower half: 1 2 2 2 3 3 3 3 4 4 4 5...