SolveForX

Statistics — Class 10 solved problems

18 problems from this chapter, each solved step by step.

  1. Find the mean of the following frequency distribution: class intervals 0-10, 10-20, 20-30, 30-40, 40-50 with frequencies 5, 8, 15, 16, 6.

    The mean of the given frequency distribution is 27.

  2. Find the mean of 4, 8, 15, 16, 23, 42

    The mean of the given numbers is 18.

  3. The marks obtained by 50 students in a test are tabulated below: | Marks: | 0 - 15 | 15 - 30 | 30 - 45 | 45 - 60 | 60 - 75 | |---|---|---|---|---|---| | Number

    32

  4. A survey regarding the heights (in cm) of 50 girls of class X of a school was conducted and the following data was obtained: | Height (in cm) | Number of girls

    The mean height is 149.8 cm and the mode height is 154 cm.

  5. In the following table, the median age of 200 spectators of a football match is 32. Find the missing frequencies p and q. | Age (in years) | Number of Spectator

    The missing frequencies are p = 18 and q = 20.

  6. The government rescued 100 people after a train accident. Their ages were recorded in the following table. Find their mean age. | Age (in years) | Number of peo

    The mean age of the rescued people is 44 years.

  7. Using empirical relationship, the mode of a distribution whose mean is 7.2 and the median 7.1, is:

    6.9

  8. The following table shows the age distribution of patients admitted during a day in two different hospitals: | Age (in years): | 5 - 15 | 15 - 25 | 25 - 35 | 35

    (i) The upper limit of the modal class for Hospital I is 45. (ii) The lower limit of the modal class for Hospital II is 25. (iii) The mode of the data for Hospi

  9. The median of the first nine prime numbers is:

    11

  10. Find the mean of the following data by the direct method: class intervals 0-10, 10-20, 20-30, 30-40, 40-50 with frequencies 5, 8, 15, 16, 6.

    The mean of the given data is 27.

  11. किसी स्कूल की कक्षा X की 51 लड़कियों की ऊँचाइयों का एक सर्वेक्षण किया गया और निम्नलिखित आँकड़े प्राप्त किए गए: |l|c| ऊँचाई (cm में) & लड़कियों की संख्या 140 से

    माध्यक ऊँचाई लगभग 149.03 cm है।

  12. The marks distribution of 30 students in a mathematics examination are given in the table below. Find the mode of this data. |l|c|c| Class interval & Number of

    The mode of the given data is 52.

  13. Marks obtained by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the median of this grouped data be 14

    The total number of students is 44.

  14. The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories (U.T.) of Ind

    The mean percentage of female teachers is approximately 39.71%.

  15. नीचे दी हुई सारणी भारत के विभिन्न राज्यों एवं संघीय क्षेत्रों (union territories) के ग्रामीण क्षेत्रों के प्राथमिक विद्यालयों में, महिला शिक्षकों के प्रतिशत बंट

    महिला शिक्षकों का माध्य प्रतिशत 39.71% है।

  16. A survey regarding the heights (in cm) of 51 girls of Class X of a school was conducted and the following data was obtained: |l|c| Height (in cm) & Number of gi

    The median height is approximately 149.03 cm.

  17. A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a househo

    The mode of the given data is approximately 3.286.

  18. The distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean number of wickets by choosing a suitable method. W

    The mean number of wickets is approximately 180.44. This signifies that, on an average, the number of wickets taken by these 45 bowlers in one-day cricket is ap

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