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Likert Scale

Likert Scale Analysis — Descriptive Stats, Cronbach's Alpha & Interpretation

Complete worked example: 5-item Likert scale (1–5) for 8 employees. Calculates item means, total score, Cronbach's alpha (α = .90), and interprets the scale level with APA-7 reporting.

📊 α = .90 (ممتاز) | M = 3.63/5 (مرتفع)
Step-by-step solution

📋 23 · Likert Scale Analysis — Descriptive Stats & Cronbach's Alpha

5-Item Job Satisfaction Scale — Full Analysis
Likert Scale
Research Question: A researcher developed a 5-item job satisfaction scale (Likert 1–5) for 8 employees. Calculate descriptive statistics, Cronbach's alpha, and interpret the results.
EmployeeItem 1Item 2Item 3Item 4Item 5Total
14345420
22232312
35454523
43334316
54545422
62323212
75455423
83433417
  1. 1
    Total score descriptives:
    x ¯ t o t a l = 20 + 12 + 23 + 16 + 22 + 12 + 23 + 17 8 = 145 8 = 18.13 , S D = 4.36
  2. 2
    Item mean (per-item average, scale 1–5):
    x ¯ i t e m = 18.13 5 = 3.63 out of 5
  3. 3
    Cronbach's Alpha (internal consistency):
    α = k k 1 ( 1 s i 2 s T 2 ) = 5 4 ( 1 5.33 19.0 ) = 5 4 ( 0.720 ) = 0.90
  4. 4
    Interpret the scale level (item mean = 3.63): 1.00–2.40 = Low | 2.41–3.40 = Moderate | 3.41–5.00 = High → Job satisfaction is HIGH.
18.13
Total mean (/25)
3.63
Item mean (/5)
0.90
Cronbach α
HIGH
Satisfaction level
APA-7
A 5-item job satisfaction scale (Likert, 1–5) demonstrated excellent internal consistency, α = .90. Participants reported high job satisfaction (M = 3.63, SD = 0.87, out of 5), with item means ranging from 3.50 to 3.88.